{"id":14,"date":"2023-08-21T15:29:52","date_gmt":"2023-08-21T19:29:52","guid":{"rendered":"https:\/\/sites.nd.edu\/jiahong-wu\/?page_id=14"},"modified":"2026-01-13T12:27:28","modified_gmt":"2026-01-13T17:27:28","slug":"research-and-publications","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/jiahong-wu\/","title":{"rendered":"Research and publications"},"content":{"rendered":"\n

Nonlinear partial differential equations, mathematical fluid mechanics, numerical computation and analysis<\/p>\n\n\n\n

My publications can be found at Google Scholar<\/a> and MathSciNet<\/a>. A list of selected publications can be found below:<\/p>\n\n\n\n

Publications<\/strong><\/p>\n\n\n\n

    \n
  1. Suhua Lai<\/a>, Jiahong Wu<\/a>, Jianwen Zhang<\/a> and Xiaokui Zhao<\/a>, Global stability and sharp decay estimates for 3D MHD equations with only vertical dissipation near a background magnetic field, Advances in Mathematics<\/em><\/a> 486<\/strong> (2026), Paper No. 110747. PDF<\/a><\/li>\n\n\n\n
  2. Edom Belayneh<\/a>, Xiaobai Chen<\/a>, Ruthwik Nadam<\/a>, Jiahong Wu<\/a> and Xiaoming Zheng<\/a>, Impact of Reynolds number and slip\/no-slip boundary condition on stratification in a two-dimensional Boussinesq system, Computational and Applied Mathematics<\/em><\/a> 45<\/strong> (2026), no. 5, Paper No. 181. PDF<\/a><\/li>\n\n\n\n
  3. Deqin Zhou<\/a> and Jiahong Wu<\/a>, H\u00b9-uniqueness, stability and decay for anisotropic Navier\u2013Stokes and Boussinesq equations, Journal of Differential Equations<\/em><\/a> 453<\/strong> (2026), part 5, Paper No. 113930, 44 pp. PDF<\/a><\/li>\n\n\n\n
  4. Hongxia Lin<\/a>, Xiaoxiao Suo<\/a>, Meilin Jin<\/a> and Jiahong Wu<\/a>, Global well-posedness and decay estimates for the 3D anisotropic Boussinesq system with thermal damping, Journal of Differential Equations<\/em><\/a> 453<\/strong> (2026), part 3, Paper No. 113863, 28 pp. PDF<\/a><\/li>\n\n\n\n
  5. Jiahong Wu<\/a>, Jiefeng Zhao<\/a> and Daoguo Zhou<\/a>, Localized and non-localized non-blowup criteria for the 2D resistive MHD equations, Journal of Differential Equations<\/em><\/a> 453<\/strong> (2026), part 2, Paper No. 113835, 54 pp. PDF<\/a><\/li>\n\n\n\n
  6. Xiaoming Zheng<\/a>, Kun Zhao<\/a>, Jiahong Wu<\/a>, Weiwei Hu<\/a> and Dapeng Du<\/a>, An iterative projection method for unsteady Navier\u2013Stokes equations with high Reynolds numbers, Adv. Comput. Math.<\/em><\/a> 51<\/strong> (2025), no. 5, Paper No. 44. PDF<\/a><\/li>\n\n\n\n
  7. Ruihong Ji<\/a>, Jingna Li<\/a>, Ling Tian<\/a> and Jiahong Wu<\/a>, Global Solutions of a General Hyperbolic Navier-Stokes Equations, Front<\/em>iers of Mathematics<\/em><\/a> 20 <\/strong>(2025), no. 5, 1007\u20131042. PDF<\/a><\/li>\n\n\n\n
  8. Chongsheng Cao<\/a> and Jiahong Wu<\/a>, Stability of the 3D Navier\u2013Stokes equations with anisotropic dissipation, Nonlinearity<\/em><\/a> 38<\/strong> (2025), no.9, Paper No. 095012. PDF<\/a><\/li>\n\n\n\n
  9. Jiahong Wu<\/a>, Xiaojing Xu<\/a>, Yueyuan Zhong<\/a> and Ning Zhu<\/a>, Stability and large-time behavior for Euler-like equations, J. Differential Equations<\/em><\/a> 444<\/strong> (2025), Paper No. 113578, 26 pp. PDF<\/a><\/li>\n\n\n\n
  10. Jincheng Gao<\/a>, Jiahong Wu<\/a>, Zheng-an Yao<\/a> and Ruijia Yu<\/a>, Stability and large-time behavior for the 2D FENE dumbbell model near an equilibrium, Calc. Var. Partial Differential Equations<\/em><\/a> 64<\/strong> (2025), no. 6, Paper No. 190, 50 pp. PDF<\/a><\/li>\n\n\n\n
  11. Chongsheng Cao<\/a> and Jiahong Wu<\/a>, Stability of 3D perturbations to 2D Navier-Stokes flows with vertical dissipation, Applied Mathematics Letters<\/em><\/a> 171<\/strong> (2025), Paper No. 109634, 6 pp. PDF<\/a><\/li>\n\n\n\n
  12. Hongxia Lin<\/a>, Jiahong Wu<\/a> and Yi Zhu<\/a>, Stability and large-time behavior on 3D incompressible MHD equations with partial dissipation near a background magnetic field, Arch. Ration. Mech. Anal. <\/a><\/em>249<\/strong> (2025), no. 3, Paper No. 26. PDF<\/a><\/li>\n\n\n\n
  13. Hongxia Lin<\/a>, Xiaoxiao Suo<\/a>, Jiahong Wu<\/a> and Xiaojing Xu<\/a>, Stability for the 2D Anisotropic Magnetohydrodynamic Equations with Only Horizontal Magnetic Diffusion, J Nonlinear Science<\/em> <\/a>35<\/strong> (2025), no. 3, Paper No. 55. PDF<\/a><\/li>\n\n\n\n
  14. Ningning Gao<\/a>, Jiahong Wu<\/a> and Fuyi Xu<\/a>, Global large solutions to a multi-dimensional compressible magnetohydrodynamic flows with an nonlinear initial constraint, Calc. Var. Partial Differential Equations<\/em><\/a> <\/a>64<\/strong> (2025), no. 2, Paper No. 73. PDF<\/a><\/li>\n\n\n\n
  15. Hongxia Lin<\/a>, Jiahong Wu<\/a> and Nicki Boardman<\/a>, Stability on a 3D incompressible Oldroyd-B model with mixed partial dissipation, SCIENCE CHINA Mathematics<\/em><\/a> 68<\/strong> (2025), no. 7, 1567\u20131606. PDF<\/a><\/li>\n\n\n\n
  16. Jianfeng Cheng<\/a>, Ruihong Ji<\/a>, Ling Tian<\/a> and Jiahong Wu<\/a>, Stability and enhanced decay rate for 3D anisotropic Boussinesq equations near the hydrostatic balance, J. Differential Equations<\/em><\/a> 425<\/strong> (2025), 300-341. PDF<\/a><\/li>\n\n\n\n
  17. Xiaoping Zhai<\/a>, Jiahong Wu<\/a> and Fuyi Xu<\/a>, Stability for the 3D magneto-micropolar fluids with only velocity dissipation near a background magnetic field, J. Differential Equations<\/em><\/a> 425<\/strong> (2025), 596-626. PDF<\/a><\/li>\n\n\n\n
  18. Atanas Stefanov<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Zhuan Ye<\/a>, Global regularity results of the 2D fractional Boussinesq equations, Mathematische Annalen<\/a><\/em> 391<\/strong> (2025), no. 4, 5965\u20136012. PDF<\/a><\/li>\n\n\n\n
  19. Matthew Enlow<\/a>, Adam Larios<\/a> and Jiahong Wu<\/a>, Algebraic calming for the 2D Kuramoto-Sivashinsky equations, Nonlinearity<\/a><\/em> 37<\/strong> (2024), no.11, Paper No. 115019. PDF<\/a><\/li>\n\n\n\n
  20. Matthew Enlow<\/a>, Adam Larios<\/a> and Jiahong Wu<\/a>, Calmed 3D Navier\u2013Stokes equations: global well-posedness, energy identities, global attractors, and convergence, J. Nonlinear Sci.<\/em> <\/a>34<\/strong> (2024), no. 6, Paper No. 112, 33 pp. PDF<\/a><\/li>\n\n\n\n
  21. Jiahong Wu<\/a> and Kazuo Yamazaki<\/a>, Convex integration solution of two-dimensional hyperbolic Navier\u2013Stokes equations, Nonlinearity<\/a><\/em> 37<\/strong> (2024), no.11, Paper No. 115014. PDF<\/a><\/li>\n\n\n\n
  22. Wen Feng, Weinan Wang<\/a> and Jiahong Wu<\/a>, Stability for a System of the 2D Incompressible MHD Equations with Fractional Dissipation, J. Math. Fluid Mech.<\/em><\/a> 26<\/strong> (2024), no. 4, Paper No. 57. PDF<\/a><\/li>\n\n\n\n
  23. Boqing Dong<\/a>, Jiahong Wu<\/a> and Xiaoping Zhai<\/a>, Stability and exponential decay for the compressible viscous non-resistive MHD system, Nonlinearity<\/em><\/a> 37<\/strong> (2024), no. 7, Paper No. 075012, 27 pp. PDF<\/a><\/li>\n\n\n\n
  24. Durga Jang K. C.<\/a>, Dipendra Regmi<\/a>, Lizheng Tao and Jiahong Wu<\/a>, The 2D Boussinesq-Navier-Stokes equations with logarithmically supercritical dissipation, J. Math. Study<\/em><\/a> 57<\/strong> (2024), no. 1, 101\u2013132. PDF<\/a><\/li>\n\n\n\n
  25. Haifeng Shang<\/a>, Jiahong Wu<\/a> and Qian Zhang<\/a>, Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation, J. Evol. Equ.<\/em><\/a> 24<\/strong> (2024), no.1, Paper No. 12, 41 pp. PDF<\/a><\/li>\n\n\n\n
  26. Jiahong Wu<\/a> and Xiaoping Zhai<\/a>, Global small solutions to the 3D compressible viscous non-resistive MHD system, Math. Models Methods Appl. Sci.<\/a> <\/em>33<\/strong> (2023), no. 13, 2629-2656. Article DOI: 10.1142\/S0218202523500574<\/a><\/li>\n\n\n\n
  27. Hongxia Lin<\/a>, Xiaoxiao Suo<\/a> and Jiahong Wu<\/a>, The global well-posedness and decay estimates for the 3D incompressible MHD equations with vertical dissipation in a strip, Int. Math. Res. Not. IMRN<\/em><\/a> 2023, no. 22, 19115\u201319155. PDF<\/a><\/li>\n\n\n\n
  28. Xiaoming Zheng<\/a>, Weiwei Hu<\/a> and Jiahong Wu<\/a>, Numerical algorithms and simulations of boundary dynamic control for optimal mixing in unsteady Stokes flows, Comput. Methods Appl. Mech. Engrg.<\/a><\/em> 417<\/strong> (2023), Part A, Paper No. 116455. PDF<\/a><\/li>\n\n\n\n
  29. Hongxia Lin<\/a>, Jiahong Wu<\/a> and Yi Zhu<\/a>, Global solutions to 3D incompressible MHD system with dissipation in only one dirction, SIAM J. Math. Anal.<\/em><\/a> 55<\/strong> (2023), no. 5, 4570-4598. PDF<\/a><\/li>\n\n\n\n
  30. Ruihong Ji<\/a>, Dan Li<\/a> and Jiahong Wu<\/a>, Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation, Commun. Math. Sci.<\/a><\/em> 21 (2023), no. 6, 1531-1548. PDF<\/a><\/li>\n\n\n\n
  31. Yichen Dai<\/a>, Zhong Tan<\/a> and Jiahong Wu<\/a>, A class of global large solutions to the Oldroyd-B-type model with fractional dissipation, Commun. Math. Sci.<\/a><\/em> 21<\/strong> (2023), no. 5, 1349\u20131362. PDF<\/a><\/li>\n\n\n\n
  32. Jiefeng Zhao<\/a> and Jiahong Wu<\/a>, Oldroyd-B model with high Weissenberg number and fractional velocity dissipation, J. Geom. Anal<\/em>. <\/a>33<\/strong> (2023), no. 9, Paper No. 296, 38 pp. PDF<\/a><\/li>\n\n\n\n
  33. Wen Feng<\/a>, Farzana Hafeez<\/a>, Jiahong Wu<\/a> and Dipendra Regmi<\/a>,  Stability and exponential decay for magnetohydrodynamic equations, Proc. Roy. Soc. Edinburgh Sect. A<\/a><\/em> 153<\/strong> (2023), no. 3, 853\u2013880.  PDF<\/a><\/li>\n\n\n\n
  34.  Jiahong Wu<\/a> and Kun Zhao<\/a>, On 2D incompressible Boussinesq systems: global stabilization under dynamic boundary conditions, J. Differential Equations<\/a><\/em> 367<\/strong> (2023), 246\u2013289.  PDF<\/a><\/li>\n\n\n\n
  35. Ruihong Ji<\/a>, Ling Tian<\/a> and Jiahong Wu<\/a>, 3D anisotropic Navier-Stokes equations in T2\u00d7R: stability and large-time behaviour, Nonlinearity<\/a><\/em> 36<\/strong> (2023), no. 6, 3219\u20133237.  PDF<\/a><\/li>\n\n\n\n
  36. Wen Feng<\/a>, Weinan Wang<\/a> and Jiahong Wu<\/a>, Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction, J. Evol. Equ.<\/em> <\/a>23<\/strong> (2023), no. 2, Paper No. 32, 37 pp. PDF<\/a><\/li>\n\n\n\n
  37. Tiantian Chen, Hongxia Lin<\/a> and Jiahong Wu<\/a>, The 2D magnetohydrodynamic system with Euler-like velocity equation and partial magnetic diffusion, Stud. Appl. Math.<\/em> <\/a>150<\/strong> (2023), no. 3, 629\u2013649. PDF<\/a><\/li>\n\n\n\n
  38. Wen Feng<\/a>, Farzana Hafeez<\/a> and Jiahong Wu<\/a>, Stabilizing effect of the magnetic field and large-time behavior of 2D incompressible MHD system with vertical dissipation, J. Math. Fluid Mech.<\/a> <\/em>25<\/strong> (2023), no. 2, Paper No. 33, 42 pp. PDF<\/a><\/li>\n\n\n\n
  39. Jiahong Wu<\/a> and Jiefeng Zhao<\/a>, Mild ill-posedness in L\u221e for 2D resistive MHD equations near a background magnetic field, Int. Math. Res. Not. IMRN<\/a><\/em> 2023, no. 6, 4839\u20134868. PDF<\/a><\/li>\n\n\n\n
  40. Boqing Dong<\/a>, Jiahong Wu<\/a> and Xiaoping Zhai<\/a>, Global small solutions to a special 212-D compressible viscous non-resistive MHD system, J. Nonlinear Sci.<\/a> <\/em>33<\/strong> (2023), no. 1, Paper No. 21, 37 pp. PDF<\/a><\/li>\n\n\n\n
  41. Oussama Ben Said<\/a>, Uddhaba Raj Pandey and Jiahong Wu<\/a>, The stabilizing effect of the temperature on buoyancy-driven fluids, Indiana Univ. Math. J.<\/em><\/a> 71<\/strong> (2022), no. 6, 2605\u20132645. PDF<\/a><\/li>\n\n\n\n
  42. Ruihong Ji<\/a>, Jiahong Wu<\/a> and Xiaojing Xu<\/a>, Global well-posedness of the 2D MHD equations of damped wave type in Sobolev space, SIAM J. Math. Anal.<\/em><\/a> 54 (2022), no. 6, 6018\u20136053. PDF<\/a><\/li>\n\n\n\n
  43. Wen Feng<\/a>, Weinan Wang<\/a> and Jiahong Wu<\/a>, Global existence and stability for the 2D Oldroyd-B model with mixed partial dissipation, Proc. Amer. Math. Soc.<\/em><\/a> 150 (2022), no. 12, 5321\u20135334. PDF<\/a><\/li>\n\n\n\n
  44. Yeping Li<\/a>, Zhen Luo<\/a> and Jiahong Wu<\/a>, Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion, Commun. Math. Sci.<\/em><\/a> 20 (2022), no. 6, 1735\u20131762. <\/li>\n\n\n\n
  45. Jiahong Wu<\/a> and Yi Zhu<\/a>, Global well-posedness for 2D non-resistive compressible MHD system in periodic domain, J. Funct. Anal.<\/em> <\/a>283 (2022), no. 7, Paper No. 109602, 49 pp. PDF<\/a><\/li>\n\n\n\n
  46. Liangliang Ma<\/a>, Jiahong Wu<\/a> and Qian Zhang<\/a>, Stability of 3D perturbations near a special 2D solution to the rotating Boussinesq equations, Stud. Appl. Math.<\/em> <\/a>148 (2022), no. 4, 1624\u20131655. PDF<\/a><\/li>\n\n\n\n
  47. Dhanapati Adhikari<\/a>, Oussama Ben Said<\/a>, Uddhaba Pandey<\/a> and Jiahong Wu<\/a>, Stability and large-time behavior for the 2D Boussinesq system with horizontal dissipation and vertical thermal diffusion, Nonlinear Differential Equations and<\/a><\/em> Applications (NoDEA)<\/a><\/em>, 29<\/strong> (2022), No.4, Paper No. 42. PDF<\/a><\/li>\n\n\n\n
  48. Ruihong Ji<\/a>, Li Yan<\/a> and Jiahong Wu<\/a>, Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance, Calculus of Variations and Partial Differential Equations<\/a><\/em>, 61<\/strong> (2022), No.4, Paper No. 136.     [PDF file]<\/a><\/li>\n\n\n\n
  49. Suhua Lai<\/a>, Jiahong Wu<\/a> and Jianwen Zhang<\/a>, Stabilizing effect of magnetic field on the 2D ideal magnetohydrodynamic flow with mixed partial damping, Calculus of Variations and Partial Differential Equations<\/a><\/em>, 61<\/strong> (2022), No.4, Paper No. 126. PDF<\/a><\/li>\n\n\n\n
  50. Jiahong Wu<\/a> and Jiefeng Zhao<\/a>, Global regularity for the generalized incompressible Oldroyd-B model with only stress tensor dissipation in critical Besov spaces, Journal of Differential Equations<\/a><\/em>, 316<\/strong> (2022), 641-686. PDF<\/a><\/li>\n\n\n\n
  51. Hongxia Lin<\/a>, Youhua Wei<\/a> and Jiahong Wu<\/a>, Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only, Nonlinear Analysis: Real World Applications<\/a><\/em>, 66<\/strong> (2022), Paper No.103513, 20 pp. PDF<\/a><\/li>\n\n\n\n
  52. Peixin Wang<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Yueyuan Zhong<\/a>, Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion, Journal of Functional Analysis<\/a><\/em>, 282<\/strong> (2022), No.4, Paper No. 109332.  PDF<\/a><\/li>\n\n\n\n
  53. Peter Constantin<\/a>, Jiahong Wu<\/a>, Jiefeng Zhao<\/a> and Yi Zhu<\/a>, High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation, Journal of Evolution Equations<\/a><\/em>, 21<\/strong> (2021), No.3, 2787-2806, special issue in honor of the 60th birthday of Professor Matthias Hieber.     [PDF file]<\/a>     Also posted in arXiv:2001.03703 [math.AP]   11 Jan 2020<\/a><\/li>\n\n\n\n
  54. Suhua Lai<\/a>, Jiahong Wu<\/a> and Jianwen Zhang<\/a>, Stabilizing phenomenon for 2D anisotropic magnetohydrodynamic System near a background magnetic field, SIAM Journal on Mathematical Analysis<\/a><\/em>, 53<\/strong> (2021), No.5, 6073-6093.     [PDF file]<\/a><\/li>\n\n\n\n
  55. Wen Deng<\/a>, Jiahong Wu<\/a> and Ping Zhang<\/a>, Stability of Couette flow for 2D Boussinesq system with vertical dissipation, Journal of Functional Analysis<\/a><\/em>, 281<\/strong> (2021), No.12, Paper No.109255.   [PDF file]<\/a>    
    See also     arXiv:2004.09292v1 [math.AP]   20 Apr 2020<\/a><\/li>\n\n\n\n
  56. Bo-Qing Dong<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Ning Zhu<\/a>, Stability and exponential decay for the 2D anisotropic Navier-Stokes equations with horizontal dissipation, Journal of Mathematical Fluid Mechanics<\/a><\/em>, 23<\/strong> (2021), No.4, 100.     [PDF file]<\/a><\/li>\n\n\n\n
  57. Jiahong Wu<\/a> and Qian Zhang<\/a>, Stability and optimal decay for a system of 3D anisotropic Boussinesq equations, Nonlinearity<\/a><\/em>, 34<\/strong> (2021), No.8, 5456-5484.     [PDF file]<\/a><\/li>\n\n\n\n
  58. Bo-Qing Dong<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Ning Zhu<\/a>, Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation, Calculus of Variations and Partial Differential Equations<\/a><\/em>, 60<\/strong> (2021), No.3, Paper No. 116, 21 pp.     [PDF file]<\/a><\/li>\n\n\n\n
  59. Ruihong Ji<\/a>, Jiahong Wu<\/a> and Wanrong Yang<\/a>, Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation, Journal of Differential Equations<\/a><\/em>, 290<\/strong> (2021), 57-77.     [PDF file]<\/a><\/li>\n\n\n\n
  60. Wen Feng<\/a>, Farzana Hafeez<\/a> and Jiahong Wu<\/a>, Influence of a background magnetic field on a 2D magnetohydrodynamic flow, Nonlinearity<\/a><\/em>, 34<\/strong> (2021), No.4, 2527-2562.     [PDF file]<\/a><\/li>\n\n\n\n
  61. Haifeng Shang<\/a> and Jiahong Wu<\/a>, 2D fractional maganeto-micropolar equations, Mathematische Zeitschrift<\/a><\/em>, 297<\/strong> (2021), No.1-2, 775-802.     [PDF file]<\/a><\/li>\n\n\n\n
  62. Suhua Lai<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a>, Jianwen Zhang<\/a> and Yueyuan Zhong<\/a>, Optimal decay estimates for the 2D Boussinesq equations with partial dissipation, Journal of Nonlinear Science<\/a><\/em>, 31<\/strong> (2021), No.1, 16.     [PDF file]<\/a><\/li>\n\n\n\n
  63. Chaoying Li<\/a>, Jiahong Wu<\/a> and Xiaojing Xu<\/a>, Smoothing and stabilization effects of magnetic field on electrically conducting fluids, Journal of Differential Equations<\/a><\/em>, 276<\/strong> (2021), 368-403.     [PDF file]<\/a><\/li>\n\n\n\n
  64. Jiahong Wu<\/a> and Yi Zhu<\/a>, Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium, Advances in Mathematics<\/a><\/em>, 377<\/strong> (2021), 107466.     [PDF file]<\/a><\/li>\n\n\n\n
  65. Oussama Ben Said<\/a> and Jiahong Wu<\/a>, Unique weak solutions of the d-dimensional micropolar equation with fractional dissipation, Mathematical Methods in the Applied Sciences<\/a><\/em>, 44<\/strong> (2021), No.1, 345-377.     [PDF file]<\/a><\/li>\n\n\n\n
  66. Suhua Lai<\/a>, Jiahong Wu<\/a> and Yueyuan Zhong<\/a>, Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation, Journal of Differential Equations<\/a><\/em>, 271<\/strong> (2021), 764-796.     [PDF file]<\/a><\/li>\n\n\n\n
  67. Nicki Boardman<\/a>, Hongxia Lin<\/a> and Jiahong Wu<\/a>, Stabilization of a background magnetic field on a 2D magnetohydrodynamic flow, SIAM Journal on Mathematical Analysis<\/a><\/em>, 52<\/strong> (2020), No. 5, 5001\u20135035.   [PDF file]<\/a><\/li>\n\n\n\n
  68. Yichen Dai<\/a>, Ruihong Ji<\/a> and Jiahong Wu<\/a>, Unique weak solutions of the magnetohydrodynamic equations with fractional dissipation, Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik<\/a><\/em>, 100<\/strong> (2020), No.7, e201900290, 20 pp.     [PDF file]<\/a><\/li>\n\n\n\n
  69. Quansen Jiu<\/a>, Xiaoxiao Suo<\/a>, Jiahong Wu<\/a> and Huan Yu<\/a>, Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation, Communications in Mathematical Sciences<\/a><\/em>, 18<\/strong> (2020), No.4, 987-1022     [PDF file]<\/a><\/li>\n\n\n\n
  70. Yichen Dai<\/a>, Weiwei Hu<\/a>, Jiahong Wu<\/a> and Bei Xiao<\/a>, The Littlewood-Paley decomposition for periodic functions and applications to the Boussinesq equations, Analysis and Applications<\/a><\/em>, 18<\/strong> (2020), No.4, 639-682.     [PDF file]<\/a><\/li>\n\n\n\n
  71. Lizheng Tao<\/a>, Jiahong Wu<\/a>, Kun Zhao<\/a> and Xiaoming Zheng<\/a>, Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion, Archive for Rational Mechanics and Analysis<\/a><\/em>, 237<\/strong> (2020), No.2, 585-630.    [PDF file]<\/a><\/li>\n\n\n\n
  72. Hongxia Lin<\/a>, Ruihong Ji<\/a>, Jiahong Wu<\/a> and Li Yan<\/a>, Stability of perturbations near a background magnetic field of the 2D incompressible MHD equations with mixed partial dissipation, Journal of Functional Analysis<\/a><\/em>, 279<\/strong> (2020), No.2, 108519.    [PDF file]<\/a><\/li>\n\n\n\n
  73. Dehua Wang<\/a>, Jiahong Wu<\/a> and Zhuan Ye<\/a>, Global regularity of the three-dimensional fractional micropolar equations, Journal of Mathematical Fluid Mechanics<\/a><\/em>, 22<\/strong> (2020), No.2, 28.     [PDF file]<\/a>.<\/li>\n\n\n\n
  74. Siran Li<\/a>, Jiahong Wu<\/a> and Kun Zhao<\/a>, On the degenerate Boussinesq equations on surfaces, Journal of Geometric Mechanics<\/a><\/em>, 12<\/strong> (2020), No.1, 107-140.     [PDF file]<\/a><\/li>\n\n\n\n
  75. Bo-Qing Dong<\/a>, Jiahong Wu<\/a> and Zhuan Ye<\/a>, 2D tropical climate model with fractional dissipation and without thermal diffusion, Communications in Mathematical Sciences<\/a><\/em>, 18<\/strong> (2020), No.1, 259-292.  [PDF file]<\/a><\/li>\n\n\n\n
  76. Ruihong Ji<\/a> and Jiahong Wu<\/a>, The resistive magnetohydrodynamic equation near an equilibrium, Journal of Differential Equations<\/a><\/em>, 268<\/strong> (2020), No.4, 1854-1871.     [PDF file]<\/a><\/li>\n\n\n\n
  77. Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Ning Zhu<\/a>, Stability and decay rates for a variant of the 2D Boussinesq-Benard system, Communications in Mathematical Sciences<\/a><\/em>, 17<\/strong> (2019), No.8, 2325-2352.     [PDF file]<\/a><\/li>\n\n\n\n
  78. Nicole Boardman<\/a>, Ruihong Ji<\/a>, Hua Qiu<\/a> and Jiahong Wu<\/a>, Global existence and uniqueness of weak solutions to the Boussinesq equations without thermal diffusion, Communications in Mathematical Sciences<\/a><\/em>, 17<\/strong> (2019), No.6, 1595-1624.     [PDF file]<\/a><\/li>\n\n\n\n
  79. Jianli Liu<\/a>, Kejia Pan<\/a> and Jiahong Wu<\/a>, A class of large solutions to the supercritical surface quasi-geostrophic equation, Nonlinearity<\/a><\/em>, 32<\/strong> (2019), No.12, 5049-5059.     [PDF file]<\/a><\/li>\n\n\n\n
  80. Weiwei Hu<\/a> and Jiahong Wu<\/a>, An approximating approach for boundary control of optimal mixing via Navier-Stokes flows, Journal of Differential Equations<\/a><\/em>, 267<\/strong> (2019), No.10, 5809-5850.     [PDF file]<\/a><\/li>\n\n\n\n
  81. Yichen Dai<\/a>, Zhong Tan<\/a> and Jiahong Wu<\/a>, A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation, Zeitschrift f\u00fcr angewandte Mathematik und Physik<\/a><\/em>, 70<\/strong> (2019), No.5, Paper No. 153.     [PDF file]<\/a><\/li>\n\n\n\n
  82. Wanrong Yang<\/a>, Quansen Jiu<\/a> and Jiahong Wu<\/a>, The 3D incompressible Navier-Stokes equations with partial hyperdissipation, Mathematische Nachrichten<\/a><\/em>, 292<\/strong> (2019), No.8, 1823-1836.     [PDF file]<\/a><\/li>\n\n\n\n
  83. Bo-Qing Dong<\/a>, Jingna Li<\/a> and Jiahong Wu<\/a>, Global regularity for the 2D MHD equations with partial hyperresistivity, International Mathematics Research Notices<\/a><\/em>, 2019<\/strong> (2019), No. 14, 4261-4280.     [PDF file]<\/a><\/li>\n\n\n\n
  84. Ruihong Ji<\/a>, Dan Li<\/a>, Youhua Wei<\/a> and Jiahong Wu<\/a>, Stability of hydrostatic equilibrium to the 2D Boussinesq systems with partial dissipation, Applied Mathematics Letters<\/a><\/em>, 98<\/strong> (2019), 392-397.     [PDF file]<\/a><\/li>\n\n\n\n
  85. Lizheng Tao<\/a> and Jiahong Wu<\/a>, The 2D Boussinesq equations with vertical dissipation and linear stability of shear flows, Journal of Differential Equations<\/a><\/em>, 267<\/strong> (2019), No.3, 1731\u20131747.     [PDF file]<\/a><\/li>\n\n\n\n
  86. Bo-Qing Dong<\/a>, Wenjun Wang<\/a>, Jiahong Wu<\/a>, Zhuan Ye<\/a> and Hui Zhang<\/a>, Global regularity for a class of 2D generalized tropical climate models, Journal of Differential Equations<\/a><\/em>, 266<\/strong> (2019), No.10, 6346-6382.    [PDF file]<\/a><\/li>\n\n\n\n
  87. Bo-Qing Dong<\/a>, Jiahong Wu<\/a> and Zhuan Ye<\/a>, Global regularity for a 2D tropical climate model with fractional dissipation, Journal of Nonlinear Science<\/a><\/em>, 29<\/strong> (2019), No.2, 511-550.     [PDF file]<\/a><\/li>\n\n\n\n
  88. Ruihong Ji<\/a>, Hongxia Lin<\/a>, Jiahong Wu<\/a> and Li Yan<\/a>, Stability for a system of the 2D magnetohydrodynamic equations with partial dissipation, Applied Mathematics Letters <\/a><\/em>, 94<\/strong> (2019), 244-249.     [PDF file]<\/a><\/li>\n\n\n\n
  89. Atanas Stefanov <\/a>and Jiahong Wu<\/a>, A global regularity result for the 2D Boussinesq equations with critical dissipation, Journal d’Analyse Mathematique<\/a><\/em>, 137<\/strong> (2019), No.1, 269-290.     [PDF file]<\/a><\/li>\n\n\n\n
  90. Bo-Qing Dong<\/a>, Wenjun Wang<\/a>, Jiahong Wu<\/a> and Hui Zhang<\/a>, Global regularity results for the climate model with fractional dissipation, Discrete and Continuous Dynamical Systems – Series B (DCDS-B)<\/a><\/em>, 24<\/strong> (2019), No.1, 211-229.    [PDF file]<\/a><\/li>\n\n\n\n
  91. Daoguo Zhou<\/a>, Zilai Li<\/a>, Haifeng Shang<\/a>, Jiahong Wu<\/a>, Baoquan Yuan<\/a> and Jiefeng Zhao<\/a>, Global well-posedness for the 2D fractional Boussinesq Equations in the subcritical case, Pacific Journal of Mathematics<\/a><\/em>, 298<\/strong> (2019), No.1, 233-255. [PDF file]<\/a><\/li>\n\n\n\n
  92. Wanrong Yang<\/a>, Quansen Jiu<\/a> and Jiahong Wu<\/a>, The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation, Journal of Differential Equations<\/a><\/em>, 266<\/strong> (2019), No.1, 630-652.     [PDF file]<\/a><\/li>\n\n\n\n
  93. Bo-Qing Dong<\/a>, Yan Jia<\/a>, Jingna Li<\/a> and Jiahong Wu<\/a> Global regularity and time decay for the 2D
    magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion,
    Journal of Mathematical Fluid Mechanics<\/a><\/em>, 20<\/strong> (2018), No.4, 1541-1565.         [PDF file]<\/a><\/li>\n\n\n\n
  94. Wanrong Yang<\/a>, Quansen Jiu<\/a> and Jiahong Wu<\/a>, The 3D incompressible Boussinesq equations with fractional partial dissipation Communications in Mathematical Sciences<\/a><\/em>, 16<\/strong> (2018), No.3, 617-633.   [PDF file]<\/a><\/li>\n\n\n\n
  95. Weiwei Hu<\/a> and Jiahong Wu<\/a>, Boundary control for optimal mixing via Navier-Stokes flows,
    SIAM Journal on Control and Optimization (SICON)<\/a><\/em>, 56<\/strong> (2018), No.4, 2768-2801.         [PDF file]<\/a><\/li>\n\n\n\n
  96. Charles Doering<\/a>, Jiahong Wu<\/a>, Kun Zhao<\/a> and Xiaoming Zheng<\/a>, Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion, Physica D: Nonlinear Phenomena<\/a><\/em>, 376\/377<\/strong> (2018), 144-159.    [PDF file]<\/a><\/li>\n\n\n\n
  97. Weiwei Hu<\/a>, Yanzhen Wang<\/a>, Jiahong Wu<\/a>, Bei Xiao<\/a> and Jia Yuan<\/a>, Partially dissipative 2D Boussinesq equations with Navier type boundary conditions, Physica D: Nonlinear Phenomena<\/a><\/em>, 376\/377<\/strong> (2018), 39-48.    [PDF file]<\/a><\/li>\n\n\n\n
  98. Bo-Qing Dong<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Zhuan Ye<\/a>, Global regularity for the 2D micropolar equations with fractional dissipation, Discrete and Continuous Dynamical Systems – Series A (DCDS-A)<\/a><\/em>, 38<\/strong> (2018), No.8, 4133-4162.     [PDF file]<\/a>.<\/li>\n\n\n\n
  99. Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Zhuan Ye<\/a>, The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion, Journal des Math\u00e9matiques Pures et Appliqu\u00e9es<\/a><\/em>, 115<\/strong> (2018), No.9, 187-217.     [PDF file]<\/a><\/li>\n\n\n\n
  100. Jiahong Wu<\/a>, The 2D magnetohydrodynamic equations with partial or fractional dissipation, Lectures on the Analysis of Nonlinear Partial Differential Equations, Part 5,<\/em> 283\u2013332, Morningside <\/a>Lectures in Mathematics, 5, International Press, Somerville, MA, 2018.     [PDF file]<\/a><\/li>\n\n\n\n
  101. Jingna Li<\/a>, Bo-Qing Dong<\/a> and Jiahong Wu<\/a>, Global regularity results for four systems of 2D MHD equations with partial dissipation, International Conference on Applications of Mathematics to Nonlinear Sciences, Electronic J. Differential
    Equations<\/a><\/em>, Conf. 24<\/strong> (2017), No.5, pp.35-46.         [PDF file]<\/a><\/li>\n\n\n\n
  102. Quansen Jiu<\/a>, Jitao Liu<\/a>, Jiahong Wu<\/a> and Huan Yu<\/a>, On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation, Zeitschrift fur Angewandte Mathematik und Physik<\/a><\/em>, 68<\/strong> (2017), No.5, 68:107.     [PDF file]<\/a><\/li>\n\n\n\n
  103. Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Zhuan Ye<\/a>, Global regularity for several incompressible fluid models with partial dissipation, Journal of Mathematical Fluid Mechanics<\/a><\/em>, 19<\/strong> (2017), No.3, 423-444.     [PDF file]<\/a><\/li>\n\n\n\n
  104. Jiahong Wu<\/a> and Yifei Wu<\/a>, Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion, Advances in Mathematics<\/a><\/em>, 310<\/strong> (2017), 759-888. [PDF file]<\/a><\/li>\n\n\n\n
  105. Bo-Qing Dong<\/a>, Jingna Li<\/a> and Jiahong Wu<\/a>, Global well-posedness and large-time decay for the 2D micropolar equations, Journal of Differential Equations<\/a><\/em>, 262<\/strong> (2017), No.6, 3488-3523.     [PDF file]<\/a><\/li>\n\n\n\n
  106. Jiahong Wu<\/a>, The 2D Boussinesq equations with partial or fractional dissipation, Lectures on the Analysis of Nonlinear Partial Differential Equations, Part 4<\/em>, 223\u2013269, Morningside <\/a>Lectures in Mathematics, 4, International Press, Somerville, MA, 2016.<\/li>\n\n\n\n
  107. Dipendra Regmi<\/a> and Jiahong Wu<\/a>, Global regularity for the 2D magneto-micropolar equations with partial dissipation, Journal of Mathematical Study<\/a><\/em>, 49<\/strong> (2016), No.2, 169-194.     [PDF file]<\/a><\/li>\n\n\n\n
  108. Jingna Li<\/a>, Haifeng Shang<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Zhuan Ye<\/a>, Regularity criteria for the 2D Boussinesq equations with supercritical dissipation, Communications in Mathematical Sciences<\/a><\/em>, 14<\/strong> (2016), No.7, 1999-2022.     [PDF file]<\/a><\/li>\n\n\n\n
  109. Jiahong Wu<\/a>, Xiaojing Xu<\/a>, Liutang Xue<\/a> and Zhuan Ye<\/a>, Regularity results for the 2D Boussinesq equations with critical and supercritical dissipation, Communications in Mathematical Sciences<\/a><\/em>, 14<\/strong> (2016), No.7, 1963-1997.     [PDF file]<\/a><\/li>\n\n\n\n
  110. Ying-Chieh Lin<\/a>, Ching-Hsiao Cheng<\/a>, John Meng-Kai Hong<\/a>, Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equation in the upper half plane, Discrete and Continuous Dynamical Systems – Series B (DCDS-B)<\/a><\/em>, 21<\/strong> (2016), No.3, 763-779.   [PDF file]<\/a><\/li>\n\n\n\n
  111. Dhanapati Adhikari<\/a>, Chongsheng Cao<\/a>, Haifeng Shang<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Zhuan Ye<\/a>, Global regularity results for the 2D Boussinesq equations with partial dissipation, Journal of Differential Equations<\/a><\/em>, 260<\/strong> (2016), No.2, 1893-1917.    [PDF file]<\/a><\/li>\n\n\n\n
  112. Quansen Jiu<\/a>, Dongjuan Niu<\/a>, Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Huan Yu<\/a>, The 2D magnetohydrodynamic equations with magnetic diffusion, Nonlinearity<\/a><\/em>, 28<\/strong> (2015), No.11, 3935-3955.     [PDF file]<\/a><\/li>\n\n\n\n
  113. Peter Constantin<\/a>, Vlad Vicol<\/a> and Jiahong Wu<\/a>, Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models, Advances in Mathematics<\/a><\/em>, 285<\/strong> (2015), No.11, 352-393.  [PDF file]<\/a>     Also posted in arXiv:1403.5749 [math.AP]  23 Mar 2014<\/a><\/li>\n\n\n\n
  114. Dongho Chae<\/a>, Renhui Wan<\/a> and Jiahong Wu<\/a>, Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion, Journal of Mathematical Fluid Mechanics <\/a><\/em>, 17<\/strong> (2015), No.4, 627-638.   [PDF file]<\/a>. Original version posted in arXiv:1404.0486 [math.AP]  2 Apr 2014<\/a><\/li>\n\n\n\n
  115. Jiahong Wu<\/a>, Yifei Wu<\/a> and Xiaojing Xu<\/a>, Global small solution to the 2D MHD system with a velocity damping term, SIAM Journal on Mathematical Analysis <\/a><\/em>, 47<\/strong> (2015), No.4, 2630-2656.     [PDF file]<\/a><\/li>\n\n\n\n
  116. Alejandro Sarria<\/a> and Jiahong Wu<\/a>, Blowup in stagnation-point form solutions of the inviscid 2d Boussinesq equations, Journal of Differential Equations<\/a><\/em>, 259<\/strong> (2015), No.8, 3559-3576.     [PDF file]<\/a><\/li>\n\n\n\n
  117. Jiahong Wu<\/a>, Xiaojing Xu<\/a> and Zhuan Ye<\/a>, Global smooth solutions to the N-dimensional damped models of incompressible fluid mechanics with small initial datum, Journal of Nonlinear Science <\/a><\/em>, 25<\/strong> (2015), No.1, 157-192.     [PDF file]<\/a><\/li>\n\n\n\n
  118. Quansen Jiu<\/a>, Jiahong Wu<\/a>, and Wanrong Yang<\/a>, Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation, Journal of Nonlinear Science <\/a><\/em>, 25<\/strong> (2015), No.1, 37-58.     [PDF file]<\/a><\/li>\n\n\n\n
  119. Quansen Jiu<\/a>, Jiahong Wu<\/a>, and Wanrong Yang<\/a>, Viscous approximation and weak solutions of the 3D axisymmetric Euler equations, Mathematical Methods in the Applied Sciences<\/a><\/em>, 38<\/strong> (2015), No.3, 548-558.     [PDF file]<\/a><\/li>\n\n\n\n
  120. Wanrong Yang<\/a>, Quansen Jiu<\/a> and Jiahong Wu<\/a>, Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation, Journal of Differential Equations<\/a><\/em>, 257<\/strong> (2014), No.11, 4188-4213.   [PDF file]<\/a><\/li>\n\n\n\n
  121. Quansen Jiu<\/a>, Changxing Miao<\/a>, Jiahong Wu<\/a>, and Zhifei Zhang<\/a>, The 2D incompressible Boussinesq equations with general critical dissipation, SIAM Journal on Mathematical Analysis <\/a><\/em>, 46<\/strong> (2014), No.5, 3426-3454.    [PDF file]<\/a><\/li>\n\n\n\n
  122. Dongho Chae<\/a>, Peter Constantin<\/a> and Jiahong Wu<\/a>, An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations, Journal of Mathematical Fluid Mechanics <\/a><\/em>, 16<\/strong> (2014), No.3, 473-480.    [PDF file]<\/a><\/li>\n\n\n\n
  123. Dongho Chae<\/a>, Peter Constantin<\/a> and Jiahong Wu<\/a>, Erratum to: An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations, Journal of Mathematical Fluid Mechanics <\/a><\/em>, 16<\/strong> (2014), No.3, 481.    [PDF file]<\/a><\/li>\n\n\n\n
  124. Jiahong Wu<\/a> and Xiaojing Xu<\/a>, Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation, Nonlinearity<\/a><\/em>, 27<\/strong> (2014), No.9, 2215-2232.     [PDF file]<\/a><\/li>\n\n\n\n
  125. Xiaoxia Ren<\/a>, Jiahong Wu<\/a>, Zhaoyin Xiang<\/a> and Zhifei Zhang<\/a>, Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion, Journal of Functional Analysis<\/a><\/em>, 267<\/strong> (2014), No.2, 503-541.   [PDF file]<\/a><\/li>\n\n\n\n
  126. Durga KC<\/a>, Dipendra Regmi<\/a>, Lizheng Tao<\/a> and Jiahong Wu<\/a>, The 2D Boussinesq-Navier-Stokes equations with logarithmically supercritical dissipation, submitted for publication.     [PDF file]<\/a><\/li>\n\n\n\n
  127. Durga KC<\/a>, Dipendra Regmi<\/a>, Lizheng Tao<\/a> and Jiahong Wu<\/a>, The 2D Euler-Boussinesq equations with a singular velocity, Journal of Differential Equations<\/a><\/em>, 257<\/strong> (2014), No.1, 82-108.     [PDF file]<\/a><\/li>\n\n\n\n
  128. Dhanapati Adhikari<\/a>, Chongsheng Cao<\/a>, Jiahong Wu<\/a> and Xiaojing Xu<\/a>, Small global solutions to the damped two-dimensional Boussinesq equations, Journal of Differential Equations<\/a><\/em>, 256<\/strong> (2014), No.11, 3594-3613. [PDF file]<\/a>   Also posted in arXiv:1308.1723v1 [math.AP]  8 Aug 2013<\/a><\/li>\n\n\n\n
  129. Chongsheng Cao<\/a>, Jiahong Wu<\/a> and Baoquan Yuan<\/a>, The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion, SIAM Journal on Mathematical Analysis <\/a><\/em>, 46<\/strong> (2014), No.1, 588-602.     [PDF file]<\/a> Also posted in arXiv:1306.3629v1 [math.AP]  16 Jun 2013<\/a><\/li>\n\n\n\n
  130. Chongsheng Cao<\/a>, Dipendra Regmi<\/a> and Jiahong Wu<\/a>, The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion, Journal of Differential Equations<\/a><\/em>, 254<\/strong> (2013), No.7, 2661-2681.     [PDF file]<\/a><\/li>\n\n\n\n
  131. Chongsheng Cao<\/a> and Jiahong Wu<\/a>, Global regularity for the 2D anisotropic Boussinesq equations with vertical dissipation, Archive for Rational Mechanics and Analysis<\/a><\/em>, 208<\/strong> (2013), No.3, 985-1004.   [PDF file]<\/a>    Also posted in arXiv:1108.2678v1 [math.AP]  12 Aug 2011<\/a><\/li>\n\n\n\n
  132. Dongho Chae<\/a> and Jiahong Wu<\/a>, Logarithmically regularized inviscid models in borderline Sobolev spaces, in a special issue dedicated to Professor Peter Constantin on the occasion of his sixtieth birthday, Journal of Mathematical Physics<\/a><\/em>, 53<\/strong> (2012), No.11, 115601, 15 pp.    [PDF file]<\/a><\/li>\n\n\n\n
  133. Dongho Chae<\/a>, Peter Constantin<\/a> and Jiahong Wu<\/a>, Deformation and symmetry in the inviscid SQG and the 3D Euler equations, Journal of Nonlinear Science<\/a><\/em>, 22<\/strong> (2012), No.5, 665-688.     [PDF file]<\/a><\/li>\n\n\n\n
  134. Eric Devuyst<\/a>, Jiahong Wu<\/a> and Justin Garosi<\/a>, Firm behavioral response to multiple sources of risky cash flow, Applied Mathematics Letters<\/a><\/em>, 25<\/strong> (2012), No.10, 1389-1393.<\/li>\n\n\n\n
  135. Dongho Chae<\/a>, Peter Constantin<\/a> and Jiahong Wu<\/a>, Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations, Indiana University Mathematics Journal<\/a><\/em>, 61<\/strong> (2012), No.5, 1997-2018.     Also posted in arXiv:1011.0171v1  [math.AP]  31 Oct 2010<\/a><\/li>\n\n\n\n
  136. Dongho Chae<\/a> and Jiahong Wu<\/a>, The 2D Boussinesq equations with logarithmically supercritical velocities, Advances in Mathematics<\/a><\/em>, 230<\/strong> (2012), No.4-6, 1618-1645.     [PDF file]<\/a>     Also posted in arXiv:1111.2082v1<\/a>[math.AP]  9 Nov 2011<\/a><\/li>\n\n\n\n
  137. John Meng-Kai Hong <\/a>, Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, The generalized Buckley-Leverett and the regularized Buckley-Leverett equations, Journal of Mathematical Physics<\/a><\/em>, 53<\/strong> (2012), No. 5, 053701, 24 pp.     [PDF file]<\/a><\/li>\n\n\n\n
  138. Dongho Chae<\/a>, Peter Constantin<\/a>, Diego C\u00f3rdoba<\/a>, Francisco Gancedo<\/a> and Jiahong Wu<\/a>, Generalized surface quasi-geostrophic equations with singular velocities, Communications on Pure and Applied Mathematics<\/a><\/em>, 65<\/strong> (2012), No.8, 1037-1066. [PDF file]<\/a>     Also posted in arXiv:1101.3537v1  [math.AP]  18 Jan 2011<\/a><\/li>\n\n\n\n
  139. Netra Khanal<\/a>, Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, Fifth-order complex Korteweg<96>de Vries-type equations, J. Phys. A:<\/a><\/em> Math. Theor.<\/a><\/em>, 45<\/strong> (2012), No. 20, 205202, 17 pp     [PDF file]<\/a><\/li>\n\n\n\n
  140. Quansen Jiu<\/a>, Dongjuan Niu<\/a> and Jiahong Wu<\/a>, Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions, Nonlinearity<\/a><\/em>, 25<\/strong> (2012), No.3, 641-655.     [PDF file]<\/a><\/li>\n\n\n\n
  141. Lizheng Tao<\/a> and Jiahong Wu<\/a>, A study on the global regularity for a model of the 3D axisymmetric Navier-Stokes equations, Nonlinear Analysis: TMA<\/a><\/em>, 75<\/strong> (2012), No.6, 3092-3098.    [PDF file]<\/a><\/li>\n\n\n\n
  142. Peter Constantin<\/a>, Ming-Chih Lai<\/a>, Ramjee Sharma<\/a>, Yu-Hou Tseng<\/a> and Jiahong Wu<\/a>, New numerical results for the surface quasi-geostrophic equation, Journal of Scientific Computing<\/a><\/em>, 50<\/strong> (2012), No.1, 1-28.     [PDF file, 18.7 MB]<\/a><\/li>\n\n\n\n
  143. Chongsheng Cao<\/a> and Jiahong Wu<\/a>, Global regularity theory for the incompressible magnetohydrodynamic type equations, 19-45, in Lectures on the Analysis of Nonlinear Partial Differential Equations, Vol.2<\/em>, Morningside <\/a>Lectures in Mathematics, Edited by Fang-Hua Lin and Ping Zhang, International Press, Somerville, MA, 2012.<\/li>\n\n\n\n
  144. Dongho Chae<\/a>, Peter Constantin<\/a> and Jiahong Wu<\/a>, Inviscid models generalizing the 2D Euler and the surface quasi-geostrophic equations, Archive for Rational Mechanics and Analysis<\/a><\/em>, 202<\/strong> (2011), No.1, 35-62.     [PDF file]<\/a>     Also posted in arXiv:1010.1506v1  [math.AP]  7 Oct 2010<\/a><\/li>\n\n\n\n
  145. Dhanapati Adhikari<\/a>, Chongsheng Cao<\/a> and Jiahong Wu<\/a>, Global regularity results for the 2D Boussinesq equations with vertical dissipation, Journal of Differential Equations<\/a><\/em>, 251<\/strong> (2011), No.6, 1637-1655.    [PDF file]<\/a><\/li>\n\n\n\n
  146. Jiahong Wu<\/a>, Global regularity for a class of generalized magnetohydrodynamic equations, Journal of Mathematical<\/a><\/em> Fluid Mechanics<\/a><\/em>, 13<\/strong> (2011), No.2, 295-305.     [PDF file]<\/a><\/li>\n\n\n\n
  147. Eric Devuyst<\/a>, Justin Garosi<\/a> and Jiahong Wu<\/a>, Firm behavior under illiquidity risk, Applied Mathematics Letters<\/a><\/em>, 24<\/strong> (2011), No.5, 709-713.<\/li>\n\n\n\n
  148. Chongsheng Cao<\/a> and Jiahong Wu<\/a>, Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion, Advances in Mathematics<\/a><\/em>, 226<\/strong> (2011), No.2, 1803-1822.     [PDF file]<\/a><\/li>\n\n\n\n
  149. Dhanapati Adhikari<\/a>, Chongsheng Cao<\/a> and Jiahong Wu<\/a>, The 2D Boussinesq equations with vertical viscosity and vertical diffusivity, Journal of Differential Equations<\/a><\/em>, 249<\/strong> (2010), No.5, 1078-1088.    [PDF file]<\/a><\/li>\n\n\n\n
  150. Chongsheng Cao<\/a> and Jiahong Wu<\/a>, Two regularity criteria for the 3D MHD equations, Journal of Differential Equations<\/a><\/em>, 248<\/strong> (2010), No.9, 2263-2274.     [PDF file]<\/a>     Also posted in arXiv: 0903.2577v1  [math.AP]  14 Mar 2009<\/a><\/li>\n\n\n\n
  151. Netra Khanal<\/a>, Jiahong Wu<\/a>, Juan-Ming Yuan<\/a> and Bingyu Zhang<\/a>, Complex-valued Burgers and KdV-Burgers equations,
    Journal of Nonlinear Science<\/a><\/em>, 20<\/strong> (2010), No.3, 341-360.     [PDF file]<\/a><\/li>\n\n\n\n
  152. Juan-Ming Yuan<\/a> and Jiahong Wu<\/a>, A dual Petrov-Galerkin method for integrable fifth-order Korteweg-de Vries type equations, Discrete and Continuous Dynamical Systems-Series A<\/a><\/em>, 26<\/strong> (2010), No.4, 1525-1536.     [PDF file]<\/a><\/li>\n\n\n\n
  153. Yuelong Xiao<\/a>, Zhouping Xin<\/a> and Jiahong Wu<\/a>, Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition, Journal of Functional Analysis<\/a><\/em>, 257<\/strong> (2009), No.11, 3375-3394.     [PDF file]<\/a><\/li>\n\n\n\n
  154. Netra Khanal<\/a>, Ramjee Sharma<\/a>, Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, A dual Petrov-Galerkin method for extended fifth-order Korteweg-de Vries type equations,   Discrete Contin. Dyn. Syst. 2009, Dynamical Systems and Differential<\/a><\/em> Equations. Proceedings of the 7th AIMS International Conference, Suppl. <\/a><\/em>, 442-450.   [PDF file]<\/a><\/li>\n\n\n\n
  155. John Meng-Kai Hong <\/a>, Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, A new solution representation for the BBM equation in a quarter plane and the eventual periodicity, Nonlinearity<\/a><\/em>, 22<\/strong> (2009), No.8, 1927-1944.   [PDF file]<\/a><\/li>\n\n\n\n
  156. Wengu Chen<\/a>, Junfeng Li<\/a>, Changxing Miao<\/a> and Jiahong Wu<\/a>, Low regularity solutions of two fifth-order KdV type equations, Journal d’Analyse Math\u00e9matique<\/a><\/em>, 107<\/strong> (2009), No.1, 221-238.     [PDF file]<\/a><\/li>\n\n\n\n
  157. Peter Constantin<\/a> and Jiahong Wu<\/a>, H\u00f6lder continuity of solutions of supercritical dissipative hydrodynamic transport equations, Ann. Inst. H. Poincare Anal. Non Lineaire<\/a><\/em>, 26<\/strong> (2009), No.1, 159-180.     [PDF file]<\/a><\/li>\n\n\n\n
  158. Jerry Bona<\/a> and Jiahong Wu<\/a>, Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane, Discrete and Continuous Dynamical Systems-Series A<\/a><\/em>, 23<\/strong> (2009), No.4, 1141-1168.   [PDF file]<\/a><\/li>\n\n\n\n
  159. Peter Constantin<\/a>, Gautam Iyer<\/a> and Jiahong Wu<\/a>, Global regularity for a modified critical dissipative quasi-geostrophic equation, Indiana University Mathematics Journal<\/a><\/em>, 57<\/strong> (2008), No.6, 2681-2692.   [PDF file]<\/a><\/li>\n\n\n\n
  160. Peter Constantin<\/a> and Jiahong Wu<\/a>, Regularity of H\u00f6lder continuous solutions of the supercritical quasi-geostrophic equation, Ann. Inst. H. Poincare Anal. Non Lineaire<\/a><\/em>, 25<\/strong> (2008), No.6, 1103-1110.   [PDF file]<\/a><\/li>\n\n\n\n
  161. Netra Khanal<\/a>, Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, The Kawahara equation in weighted Sobolev spaces, Nonlinearity<\/a><\/em>, 21<\/strong> (2008), No.7, 1489-1505.     [PDF file]<\/a><\/li>\n\n\n\n
  162. Juan-Ming Yuan<\/a>, Jie Shen<\/a> and Jiahong Wu<\/a>, A dual-Petrov-Galerkin method for the Kawahara-type equations, Journal of Scientific Computing<\/a><\/em>, 34<\/strong> (2008), No.1, 48-63.     [PDF file]<\/a><\/li>\n\n\n\n
  163. Jiahong Wu<\/a>, Regularity criteria for the generalized MHD equations, Communications in Partial Differential Equations<\/a><\/em>, 33<\/strong> (2008), No.2, 285-306.     [PDF file]<\/a><\/li>\n\n\n\n
  164. Jie Shen<\/a>, Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, Eventual periodicity for the KdV equation on a half line, Physica D<\/a><\/em>, 227<\/strong> (2007), No.2, 105-119.     [PDF file]<\/a><\/li>\n\n\n\n
  165. Jiahong Wu<\/a>, Existence and Uniqueness results for the 2-D dissipative quasi-geostrophic equation, Nonlinear Analysis<\/a><\/em>, 67<\/strong> (2007), No.11, 3013-3036.     [PDF file]<\/a><\/li>\n\n\n\n
  166. Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, Local well-posedness and local (in space) regularity results for the complex KdV equation, Proceedings of the Royal Society of Edinburgh-Section A: Mathematics<\/a><\/em>, 137<\/strong> (2007), No. 1, 203-223.<\/li>\n\n\n\n
  167. Jiahong Wu<\/a>, Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces, Commun. Math. Phys.<\/a><\/em>, 263<\/strong> (2006), No. 3, 803-831.     [PDF file]<\/a><\/li>\n\n\n\n
  168. A. A. Alazman, John Albert<\/a>, Jerry Bona<\/a>, Min Chen<\/a> and Jiahong Wu<\/a>, Comparisons between the BBM equation and a Boussinesq system, Advances in Differential Equations<\/a><\/em>, 11<\/strong> (2006), No. 2, 121-166.   [PDF file]<\/a><\/li>\n\n\n\n
  169. Jiahong Wu<\/a> and Juan-Ming Yuan<\/a>, The effect of dissipation on solutions of the complex KdV equation, Math. Comput. Simulation<\/a><\/em>, 69<\/strong> (2005), No. 5-6, 589-599.     [PDF file]<\/a><\/li>\n\n\n\n
  170. Jiahong Wu<\/a>, Solutions of the 2D quasi-geostrophic equation in H\u00f6lder spaces, Nonlinear Analysis<\/a><\/em>, 62<\/strong> (2005), No. 4, 579-594.    [PDF file]<\/a><\/li>\n\n\n\n
  171. Jiahong Wu<\/a>, The 2D QG equation with critical or super-critical dissipation, Nonlinearity<\/a><\/em>, 18<\/strong> (2005), 139-154.<\/li>\n\n\n\n
  172. Juan-Ming Yuan<\/a> and Jiahong Wu<\/a>, The complex KdV equation with or without dissipation, Discrete Contin. Dyn. Syst. Ser. B<\/a><\/em>, 5<\/strong> (2005), No. 2, 489-512.     [PDF file]<\/a><\/li>\n\n\n\n
  173. Jiahong Wu<\/a>, Global solutions of the 2D dissipative QG equation in Besov spaces, SIAM J. Math. Anal.<\/a><\/em>, 36<\/strong> (2004\/2005), No. 3, 1014-1030.     [PDF file]<\/a><\/li>\n\n\n\n
  174. Jiahong Wu<\/a>, The generalized imcompressible Navier-Stokes equations in Besov spaces, Dynamics of Partial Differential<\/a><\/em> Equations<\/a><\/em>, 1<\/strong> (2004), No. 4, 381-400.     [PDF file]<\/a><\/li>\n\n\n\n
  175. Jiahong Wu<\/a>, Regularity results for weak solutions of the 3D MHD equations, Partial Differential Equations and Applications, Discrete Contin. Dyn. Syst.<\/a><\/em>, 10<\/strong> (2004), No. 1-2, 543-556. PDF<\/a><\/li>\n\n\n\n
  176. Jiahong Wu<\/a>, Generalized MHD equations, J. Differential Equations<\/a><\/em>, 195<\/strong> (2003), No.2, 284-312.     [PDF file]<\/a><\/li>\n\n\n\n
  177. Jiahong Wu<\/a>, The 2D dissipative quasi-geostrophic equation, Applied Math. Letters<\/a><\/em>, 15<\/strong> (2002), 925-930.<\/li>\n\n\n\n
  178. Jerry Bona<\/a> and Jiahong Wu<\/a>, The zero-viscosity limit of the 2D Navier-Stokes equations, Studies in Applied Math.<\/a><\/em>, 109<\/strong> (2002), No. 4, 265-278.     [PDF file]<\/a><\/li>\n\n\n\n
  179. Jiahong Wu<\/a>, Bounds and new approaches for the 3D MHD equations, J. Nonlinear Science<\/a><\/em>, 12<\/strong> (2002), No. 4, 395-413. [PDF file]<\/a><\/li>\n\n\n\n
  180. Jiahong Wu<\/a>, The quasi-geostrophic equation and its two regularizations, Communications in Partial Differential Equations<\/a><\/em>, 27<\/strong> (2002), No. 5\/6, 1161-1181.     [PDF file]<\/a><\/li>\n\n\n\n
  181. Jiahong Wu<\/a>, Dissipative quasi-geostrophic equations with $L^p$ data, Electron J. Differential Equations<\/a><\/em>, 2001<\/strong> (2001), 1-13.     [PDF file]<\/a><\/li>\n\n\n\n
  182. Peter Constantin<\/a>, Diego C\u00f3rdoba<\/a> and Jiahong Wu<\/a>, On the critical dissipative quasi-geostrophic equation, Indiana University<\/a><\/em> Mathematics Journal<\/a><\/em>, 50<\/strong> (2001), No. 1, 97-107.     [PDF file]<\/a><\/li>\n\n\n\n
  183. Jerry Bona<\/a> and Jiahong Wu<\/a>, Zero dissipation limits of nonlinear waves, Mod\u00e9lisation Math\u00e9matique et Analyse Num\u00e9rique<\/a><\/em>, 34<\/strong> (2000), 275-301.<\/li>\n\n\n\n
  184. Jiahong Wu<\/a>, Analytic results related to magneto-hydrodynamic turbulence, Physica D<\/a><\/em>, 136<\/strong> (2000), 353-372.<\/li>\n\n\n\n
  185. Peter Constantin<\/a> and Jiahong Wu<\/a>, Behavior of solutions of 2D quasi-geostrophic equations, SIAM J. Math. Anal.<\/a><\/em>, 30<\/strong> (1999), 937-948.     [PDF file]<\/a><\/li>\n\n\n\n
  186. Jiahong Wu<\/a>, The complex Ginzburg-Landau equation with data in Sobolev spaces of negative indices, Houston J. Math. <\/a><\/em>, 25<\/strong> (1999), No. 2, 387-397.     [PDF file]<\/a><\/li>\n\n\n\n
  187. Jiahong Wu<\/a>, Well-posedness of a semi-linear heat equation with weak initial data, J. Fourier Analysis and Applications<\/a><\/em>, 4<\/strong> (1998), 629-642.     [PDF file]<\/a><\/li>\n\n\n\n
  188. Jiahong Wu<\/a>, The inviscid limit of the complex Ginzburg-Landau equation, J. Differential Equations<\/a><\/em>, 142<\/strong> (1998), 413-433. [PDF file]<\/a><\/li>\n\n\n\n
  189. Jiahong Wu<\/a>, Quasi-geostrophic type equations with weak initial data, Electron J. Differential Equations<\/a><\/em>, 1998<\/strong> (1998), 1-10. [PDF file]<\/a><\/li>\n\n\n\n
  190. Jiahong Wu<\/a>, Inviscid limits and regularity estimates for the solutions of the 2D dissipative quasi-geostrophic equations, Indiana University<\/a><\/em> Mathematics Journal<\/a><\/em>, 46<\/strong> (1997), No. 4, 1113-1124.     [PDF file]<\/a><\/li>\n\n\n\n
  191. Jiahong Wu<\/a>, Viscous and inviscid magneto-hydrodynamics equations, Journal d’Analyse Math\u00e9matique<\/a><\/em>, 73<\/strong> (1997), 251-265.<\/li>\n\n\n\n
  192. Jiahong Wu<\/a>, Quasi-geostrophic type equations with initial data in Morrey spaces, Nonlinearity<\/a><\/em>, 10<\/strong> (1997), 1409-1420.     [PDF file]<\/a><\/li>\n\n\n\n
  193. Peter Constantin<\/a> and Jiahong Wu<\/a>, Statistical solutions of the Navier-Stokes equations on the phase space of vorticity and their inviscid limits, J. Math. Phys. <\/a><\/em>, 38<\/strong> (1997), 3031-3045.<\/li>\n\n\n\n
  194. Peter Constantin<\/a> and Jiahong Wu<\/a>, The inviscid limit for non-smooth vorticity, Indiana University Mathematics Journal<\/a><\/em>, 45<\/strong> (1996), No. 1, 67-81.     [PDF file]<\/a><\/li>\n\n\n\n
  195. Peter Constantin<\/a> and Jiahong Wu<\/a>, Vanishing viscosity limit for vortex patches, Institut Mittag-Leffler<\/a><\/em>, 26<\/strong> (1995), 1-15.<\/li>\n\n\n\n
  196. Peter Constantin<\/a> and Jiahong Wu<\/a>, Inviscid limit for vortex patches, Nonlinearity<\/a><\/em>, 8<\/strong> (1995), 735-742.   [PDF file]<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    Nonlinear partial differential equations, mathematical fluid mechanics, numerical computation and analysis My publications can be found at Google Scholar and MathSciNet. A list of selected publications can be found below: Publications<\/p>\n","protected":false},"author":4651,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-14","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/jiahong-wu\/wp-json\/wp\/v2\/pages\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/jiahong-wu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/jiahong-wu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/jiahong-wu\/wp-json\/wp\/v2\/users\/4651"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/jiahong-wu\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":106,"href":"https:\/\/sites.nd.edu\/jiahong-wu\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":234,"href":"https:\/\/sites.nd.edu\/jiahong-wu\/wp-json\/wp\/v2\/pages\/14\/revisions\/234"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/jiahong-wu\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}