Research and publications

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

  1. Haifeng Shang, Jiahong Wu and Qian Zhang, Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation, J. Evol. Equ. 24 (2024), no.1, Paper No. 12, 41 pp. PDF
  2. Jiahong Wu and Xiaoping Zhai, Global small solutions to the 3D compressible viscous non-resistive MHD system, Math. Models Methods Appl. Sci. 33 (2023), no. 13, 2629-2656. Article DOI: 10.1142/S0218202523500574
  3. Hongxia Lin, Xiaoxiao Suo and Jiahong Wu, The global well-posedness and decay estimates for the 3D incompressible MHD equations with vertical dissipation in a strip, Int. Math. Res. Not. IMRN 2023, no. 22, 19115–19155. PDF
  4. Xiaoming Zheng, Weiwei Hu and Jiahong Wu, Numerical algorithms and simulations of boundary dynamic control for optimal mixing in unsteady Stokes flows, Comput. Methods Appl. Mech. Engrg. 417 (2023), Part A, Paper No. 116455. PDF
  5. Hongxia Lin, Jiahong Wu and Yi Zhu, Global solutions to 3D incompressible MHD system with dissipation in only one dirction, SIAM J. Math. Anal. 55 (2023), no. 5, 4570-4598. PDF
  6. Ruihong Ji, Dan Li and Jiahong Wu, Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation, Commun. Math. Sci. 21 (2023), no. 6, 1531-1548. PDF
  7. Yichen Dai, Zhong Tan and Jiahong Wu, A class of global large solutions to the Oldroyd-B-type model with fractional dissipation, Commun. Math. Sci. 21 (2023), no. 5, 1349–1362. PDF
  8. Jiefeng Zhao and Jiahong Wu, Oldroyd-B model with high Weissenberg number and fractional velocity dissipation, J. Geom. Anal. 33 (2023), no. 9, Paper No. 296, 38 pp. PDF
  9. Wen Feng, Farzana Hafeez, Jiahong Wu and Dipendra Regmi,  Stability and exponential decay for magnetohydrodynamic equations, Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), no. 3, 853–880.  PDF
  10.  Jiahong Wu and Kun Zhao, On 2D incompressible Boussinesq systems: global stabilization under dynamic boundary conditions, J. Differential Equations 367 (2023), 246–289.  PDF
  11. Ruihong Ji, Ling Tian and Jiahong Wu, 3D anisotropic Navier-Stokes equations in T2×R: stability and large-time behaviour, Nonlinearity 36 (2023), no. 6, 3219–3237.  PDF
  12. Wen Feng, Weinan Wang and Jiahong Wu, Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction, J. Evol. Equ. 23 (2023), no. 2, Paper No. 32, 37 pp. PDF
  13. Tiantian Chen, Hongxia Lin and Jiahong Wu, The 2D magnetohydrodynamic system with Euler-like velocity equation and partial magnetic diffusion, Stud. Appl. Math. 150 (2023), no. 3, 629–649. PDF
  14. Wen Feng, Farzana Hafeez and Jiahong Wu, Stabilizing effect of the magnetic field and large-time behavior of 2D incompressible MHD system with vertical dissipation, J. Math. Fluid Mech. 25 (2023), no. 2, Paper No. 33, 42 pp. PDF
  15. Jiahong Wu and Jiefeng Zhao, Mild ill-posedness in L∞ for 2D resistive MHD equations near a background magnetic field, Int. Math. Res. Not. IMRN 2023, no. 6, 4839–4868. PDF
  16. Boqing Dong, Jiahong Wu and Xiaoping Zhai, Global small solutions to a special 212-D compressible viscous non-resistive MHD system, J. Nonlinear Sci. 33 (2023), no. 1, Paper No. 21, 37 pp. PDF
  17. Oussama Ben Said, Uddhaba Raj Pandey and Jiahong Wu, The stabilizing effect of the temperature on buoyancy-driven fluids, Indiana Univ. Math. J. 71 (2022), no. 6, 2605–2645. PDF
  18. Ruihong Ji, Jiahong Wu and Xiaojing Xu, Global well-posedness of the 2D MHD equations of damped wave type in Sobolev space, SIAM J. Math. Anal. 54 (2022), no. 6, 6018–6053. PDF
  19. Wen Feng, Weinan Wang and Jiahong Wu, Global existence and stability for the 2D Oldroyd-B model with mixed partial dissipation, Proc. Amer. Math. Soc. 150 (2022), no. 12, 5321–5334. PDF
  20. Yeping Li, Zhen Luo and Jiahong Wu, Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion, Commun. Math. Sci. 20 (2022), no. 6, 1735–1762.
  21. Jiahong Wu and Yi Zhu, Global well-posedness for 2D non-resistive compressible MHD system in periodic domain, J. Funct. Anal. 283 (2022), no. 7, Paper No. 109602, 49 pp. PDF
  22. Liangliang Ma, Jiahong Wu and Qian Zhang, Stability of 3D perturbations near a special 2D solution to the rotating Boussinesq equations, Stud. Appl. Math. 148 (2022), no. 4, 1624–1655. PDF
  23. Dhanapati Adhikari, Oussama Ben Said, Uddhaba Pandey and Jiahong Wu, Stability and large-time behavior for the 2D Boussinesq system with horizontal dissipation and vertical thermal diffusion, Nonlinear Differential Equations and Applications (NoDEA), 29 (2022), No.4, Paper No. 42. PDF
  24. Ruihong Ji, Li Yan and Jiahong Wu, Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance, Calculus of Variations and Partial Differential Equations, 61 (2022), No.4, Paper No. 136.     [PDF file]
  25. Suhua Lai, Jiahong Wu and Jianwen Zhang, Stabilizing effect of magnetic field on the 2D ideal magnetohydrodynamic flow with mixed partial damping, Calculus of Variations and Partial Differential Equations, 61 (2022), No.4, Paper No. 126. PDF
  26. Jiahong Wu and Jiefeng Zhao, Global regularity for the generalized incompressible Oldroyd-B model with only stress tensor dissipation in critical Besov spaces, Journal of Differential Equations, 316 (2022), 641-686. PDF
  27. Hongxia Lin, Youhua Wei and Jiahong Wu, 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, 66 (2022), Paper No.103513, 20 pp. PDF
  28. Peixin Wang, Jiahong Wu, Xiaojing Xu and Yueyuan Zhong, Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion, Journal of Functional Analysis, 282 (2022), No.4, Paper No. 109332.  PDF
  29. Peter Constantin, Jiahong Wu, Jiefeng Zhao and Yi Zhu, High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation, Journal of Evolution Equations, 21 (2021), No.3, 2787-2806, special issue in honor of the 60th birthday of Professor Matthias Hieber.     [PDF file]     Also posted in arXiv:2001.03703 [math.AP]   11 Jan 2020
  30. Suhua Lai, Jiahong Wu and Jianwen Zhang, Stabilizing phenomenon for 2D anisotropic magnetohydrodynamic System near a background magnetic field, SIAM Journal on Mathematical Analysis, 53 (2021), No.5, 6073-6093.     [PDF file]
  31. Wen Deng, Jiahong Wu and Ping Zhang, Stability of Couette flow for 2D Boussinesq system with vertical dissipation, Journal of Functional Analysis, 281 (2021), No.12, Paper No.109255.   [PDF file]    
    See also arXiv:2004.09292v1 [math.AP]   20 Apr 2020
  32. Bo-Qing Dong, Jiahong Wu, Xiaojing Xu and Ning Zhu, Stability and exponential decay for the 2D anisotropic Navier-Stokes equations with horizontal dissipation, Journal of Mathematical Fluid Mechanics, 23 (2021), No.4, 100.     [PDF file]
  33. Jiahong Wu and Qian Zhang, Stability and optimal decay for a system of 3D anisotropic Boussinesq equations, Nonlinearity, 34 (2021), No.8, 5456-5484.     [PDF file]
  34. Bo-Qing Dong, Jiahong Wu, Xiaojing Xu and Ning Zhu, Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation, Calculus of Variations and Partial Differential Equations, 60 (2021), No.3, Paper No. 116, 21 pp.     [PDF file]
  35. Ruihong Ji, Jiahong Wu and Wanrong Yang, Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation, Journal of Differential Equations, 290 (2021), 57-77.     [PDF file]
  36. Wen Feng, Farzana Hafeez and Jiahong Wu, Influence of a background magnetic field on a 2D magnetohydrodynamic flow, Nonlinearity, 34 (2021), No.4, 2527-2562.     [PDF file]
  37. Haifeng Shang and Jiahong Wu, 2D fractional maganeto-micropolar equations, Mathematische Zeitschrift, 297 (2021), No.1-2, 775-802.     [PDF file]
  38. Suhua Lai, Jiahong Wu, Xiaojing Xu, Jianwen Zhang and Yueyuan Zhong, Optimal decay estimates for the 2D Boussinesq equations with partial dissipation, Journal of Nonlinear Science, 31 (2021), No.1, 16.     [PDF file]
  39. Chaoying Li, Jiahong Wu and Xiaojing Xu, Smoothing and stabilization effects of magnetic field on electrically conducting fluids, Journal of Differential Equations, 276 (2021), 368-403.     [PDF file]
  40. Jiahong Wu and Yi Zhu, Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium, Advances in Mathematics, 377 (2021), 107466.     [PDF file]
  41. Oussama Ben Said and Jiahong Wu, Unique weak solutions of the d-dimensional micropolar equation with fractional dissipation, Mathematical Methods in the Applied Sciences, 44 (2021), No.1, 345-377.     [PDF file]
  42. Suhua Lai, Jiahong Wu and Yueyuan Zhong, Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation, Journal of Differential Equations, 271 (2021), 764-796.     [PDF file]
  43. Nicki Boardman, Hongxia Lin and Jiahong Wu, Stabilization of a background magnetic field on a 2D magnetohydrodynamic flow, SIAM Journal on Mathematical Analysis, 52 (2020), No. 5, 5001–5035.   [PDF file]
  44. Yichen Dai, Ruihong Ji and Jiahong Wu, Unique weak solutions of the magnetohydrodynamic equations with fractional dissipation, Zeitschrift für Angewandte Mathematik und Mechanik, 100 (2020), No.7, e201900290, 20 pp.     [PDF file]
  45. Quansen Jiu, Xiaoxiao Suo, Jiahong Wu and Huan Yu, Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation, Communications in Mathematical Sciences, 18 (2020), No.4, 987-1022     [PDF file]
  46. Yichen Dai, Weiwei Hu, Jiahong Wu and Bei Xiao, The Littlewood-Paley decomposition for periodic functions and applications to the Boussinesq equations, Analysis and Applications, 18 (2020), No.4, 639-682.     [PDF file]
  47. Lizheng Tao, Jiahong Wu, Kun Zhao and Xiaoming Zheng, Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion, Archive for Rational Mechanics and Analysis, 237 (2020), No.2, 585-630.    [PDF file]
  48. Hongxia Lin, Ruihong Ji, Jiahong Wu and Li Yan, Stability of perturbations near a background magnetic field of the 2D incompressible MHD equations with mixed partial dissipation, Journal of Functional Analysis, 279 (2020), No.2, 108519.    [PDF file]
  49. Dehua Wang, Jiahong Wu and Zhuan Ye, Global regularity of the three-dimensional fractional micropolar equations, Journal of Mathematical Fluid Mechanics, 22 (2020), No.2, 28.     [PDF file].
  50. Siran Li, Jiahong Wu and Kun Zhao, On the degenerate Boussinesq equations on surfaces, Journal of Geometric Mechanics, 12 (2020), No.1, 107-140.     [PDF file]
  51. Bo-Qing Dong, Jiahong Wu and Zhuan Ye, 2D tropical climate model with fractional dissipation and without thermal diffusion, Communications in Mathematical Sciences, 18 (2020), No.1, 259-292.  [PDF file]
  52. Ruihong Ji and Jiahong Wu, The resistive magnetohydrodynamic equation near an equilibrium, Journal of Differential Equations, 268 (2020), No.4, 1854-1871.     [PDF file]
  53. Jiahong Wu, Xiaojing Xu and Ning Zhu, Stability and decay rates for a variant of the 2D Boussinesq-Benard system, Communications in Mathematical Sciences, 17 (2019), No.8, 2325-2352.     [PDF file]
  54. Nicole Boardman, Ruihong Ji, Hua Qiu and Jiahong Wu, Global existence and uniqueness of weak solutions to the Boussinesq equations without thermal diffusion, Communications in Mathematical Sciences, 17 (2019), No.6, 1595-1624.     [PDF file]
  55. Jianli Liu, Kejia Pan and Jiahong Wu, A class of large solutions to the supercritical surface quasi-geostrophic equation, Nonlinearity, 32 (2019), No.12, 5049-5059.     [PDF file]
  56. Weiwei Hu and Jiahong Wu, An approximating approach for boundary control of optimal mixing via Navier-Stokes flows, Journal of Differential Equations, 267 (2019), No.10, 5809-5850.     [PDF file]
  57. Yichen Dai, Zhong Tan and Jiahong Wu, A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation, Zeitschrift für angewandte Mathematik und Physik, 70 (2019), No.5, Paper No. 153.     [PDF file]
  58. Wanrong Yang, Quansen Jiu and Jiahong Wu, The 3D incompressible Navier-Stokes equations with partial hyperdissipation, Mathematische Nachrichten, 292 (2019), No.8, 1823-1836.     [PDF file]
  59. Bo-Qing Dong, Jingna Li and Jiahong Wu, Global regularity for the 2D MHD equations with partial hyperresistivity, International Mathematics Research Notices, 2019 (2019), No. 14, 4261-4280.     [PDF file]
  60. Ruihong Ji, Dan Li, Youhua Wei and Jiahong Wu, Stability of hydrostatic equilibrium to the 2D Boussinesq systems with partial dissipation, Applied Mathematics Letters, 98 (2019), 392-397.     [PDF file]
  61. Lizheng Tao and Jiahong Wu, The 2D Boussinesq equations with vertical dissipation and linear stability of shear flows, Journal of Differential Equations, 267 (2019), No.3, 1731–1747.     [PDF file]
  62. Bo-Qing Dong, Wenjun Wang, Jiahong Wu, Zhuan Ye and Hui Zhang, Global regularity for a class of 2D generalized tropical climate models, Journal of Differential Equations, 266 (2019), No.10, 6346-6382.    [PDF file]
  63. Bo-Qing Dong, Jiahong Wu and Zhuan Ye, Global regularity for a 2D tropical climate model with fractional dissipation, Journal of Nonlinear Science, 29 (2019), No.2, 511-550.     [PDF file]
  64. Ruihong Ji, Hongxia Lin, Jiahong Wu and Li Yan, Stability for a system of the 2D magnetohydrodynamic equations with partial dissipation, Applied Mathematics Letters , 94 (2019), 244-249.     [PDF file]
  65. Atanas Stefanov and Jiahong Wu, A global regularity result for the 2D Boussinesq equations with critical dissipation, Journal d’Analyse Mathematique, 137 (2019), No.1, 269-290.     [PDF file]
  66. Bo-Qing Dong, Wenjun Wang, Jiahong Wu and Hui Zhang, Global regularity results for the climate model with fractional dissipation, Discrete and Continuous Dynamical Systems – Series B (DCDS-B), 24 (2019), No.1, 211-229.    [PDF file]
  67. Daoguo Zhou, Zilai Li, Haifeng Shang, Jiahong Wu, Baoquan Yuan and Jiefeng Zhao, Global well-posedness for the 2D fractional Boussinesq Equations in the subcritical case, Pacific Journal of Mathematics, 298 (2019), No.1, 233-255. [PDF file]
  68. Wanrong Yang, Quansen Jiu and Jiahong Wu, The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation, Journal of Differential Equations, 266 (2019), No.1, 630-652.     [PDF file]
  69. Bo-Qing Dong, Yan Jia, Jingna Li and Jiahong Wu Global regularity and time decay for the 2D
    magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion,
    Journal of Mathematical Fluid Mechanics    , 20 (2018), No.4, 1541-1565.     [PDF file]
  70. Wanrong Yang, Quansen Jiu and Jiahong Wu, The 3D incompressible Boussinesq equations with fractional partial dissipation Communications in Mathematical Sciences, 16 (2018), No.3, 617-633.   [PDF file]
  71. Weiwei Hu and Jiahong Wu, Boundary control for optimal mixing via Navier-Stokes flows,
    SIAM Journal on Control and Optimization (SICON)    , 56 (2018), No.4, 2768-2801.     [PDF file]
  72. Charles Doering, Jiahong Wu, Kun Zhao and Xiaoming Zheng, Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion, Physica D: Nonlinear Phenomena, 376/377 (2018), 144-159.    [PDF file]
  73. Weiwei Hu, Yanzhen Wang, Jiahong Wu, Bei Xiao and Jia Yuan, Partially dissipative 2D Boussinesq equations with Navier type boundary conditions, Physica D: Nonlinear Phenomena, 376/377 (2018), 39-48.    [PDF file]
  74. Bo-Qing Dong, Jiahong Wu, Xiaojing Xu and Zhuan Ye, Global regularity for the 2D micropolar equations with fractional dissipation, Discrete and Continuous Dynamical Systems – Series A (DCDS-A), 38 (2018), No.8, 4133-4162.     [PDF file].
  75. Jiahong Wu, Xiaojing Xu and Zhuan Ye, The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion, Journal des Mathématiques Pures et Appliquées, 115 (2018), No.9, 187-217.     [PDF file]
  76. Jiahong Wu, The 2D magnetohydrodynamic equations with partial or fractional dissipation, Lectures on the Analysis of Nonlinear Partial Differential Equations, Part 5, 283–332, Morningside Lectures in Mathematics, 5, International Press, Somerville, MA, 2018.     [PDF file]
  77. Jingna Li, Bo-Qing Dong and Jiahong Wu, 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    , Conf. 24 (2017), No.5, pp.35-46.     [PDF file]
  78. Quansen Jiu, Jitao Liu, Jiahong Wu and Huan Yu, On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation, Zeitschrift fur Angewandte Mathematik und Physik, 68 (2017), No.5, 68:107.     [PDF file]
  79. Jiahong Wu, Xiaojing Xu and Zhuan Ye, Global regularity for several incompressible fluid models with partial dissipation, Journal of Mathematical Fluid Mechanics, 19 (2017), No.3, 423-444.     [PDF file]
  80. Jiahong Wu and Yifei Wu, Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion, Advances in Mathematics, 310 (2017), 759-888. [PDF file]
  81. Bo-Qing Dong, Jingna Li and Jiahong Wu, Global well-posedness and large-time decay for the 2D micropolar equations, Journal of Differential Equations, 262 (2017), No.6, 3488-3523.     [PDF file]
  82. Jiahong Wu, The 2D Boussinesq equations with partial or fractional dissipation, Lectures on the Analysis of Nonlinear Partial Differential Equations, Part 4, 223–269, Morningside Lectures in Mathematics, 4, International Press, Somerville, MA, 2016.
  83. Dipendra Regmi and Jiahong Wu, Global regularity for the 2D magneto-micropolar equations with partial dissipation, Journal of Mathematical Study, 49 (2016), No.2, 169-194.     [PDF file]
  84. Jingna Li, Haifeng Shang, Jiahong Wu, Xiaojing Xu and Zhuan Ye, Regularity criteria for the 2D Boussinesq equations with supercritical dissipation, Communications in Mathematical Sciences, 14 (2016), No.7, 1999-2022.     [PDF file]
  85. Jiahong Wu, Xiaojing Xu, Liutang Xue and Zhuan Ye, Regularity results for the 2D Boussinesq equations with critical and supercritical dissipation, Communications in Mathematical Sciences, 14 (2016), No.7, 1963-1997.     [PDF file]
  86. Ying-Chieh Lin, Ching-Hsiao Cheng, John Meng-Kai Hong, Jiahong Wu and Juan-Ming Yuan, 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), 21 (2016), No.3, 763-779.   [PDF file]
  87. Dhanapati Adhikari, Chongsheng Cao, Haifeng Shang, Jiahong Wu, Xiaojing Xu and Zhuan Ye, Global regularity results for the 2D Boussinesq equations with partial dissipation, Journal of Differential Equations, 260 (2016), No.2, 1893-1917.    [PDF file]
  88. Quansen Jiu, Dongjuan Niu, Jiahong Wu, Xiaojing Xu and Huan Yu, The 2D magnetohydrodynamic equations with magnetic diffusion, Nonlinearity, 28 (2015), No.11, 3935-3955.     [PDF file]
  89. Peter Constantin, Vlad Vicol and Jiahong Wu, Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models, Advances in Mathematics, 285 (2015), No.11, 352-393.  [PDF file]     Also posted in arXiv:1403.5749 [math.AP]  23 Mar 2014
  90. Dongho Chae, Renhui Wan and Jiahong Wu, Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion, Journal of Mathematical Fluid Mechanics , 17 (2015), No.4, 627-638.   [PDF file]. Original version posted in arXiv:1404.0486 [math.AP]  2 Apr 2014
  91. Jiahong Wu, Yifei Wu and Xiaojing Xu, Global small solution to the 2D MHD system with a velocity damping term, SIAM Journal on Mathematical Analysis , 47 (2015), No.4, 2630-2656.     [PDF file]
  92. Alejandro Sarria and Jiahong Wu, Blowup in stagnation-point form solutions of the inviscid 2d Boussinesq equations, Journal of Differential Equations, 259 (2015), No.8, 3559-3576.     [PDF file]
  93. Jiahong Wu, Xiaojing Xu and Zhuan Ye, Global smooth solutions to the N-dimensional damped models of incompressible fluid mechanics with small initial datum, Journal of Nonlinear Science , 25 (2015), No.1, 157-192.     [PDF file]
  94. Quansen Jiu, Jiahong Wu, and Wanrong Yang, Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation, Journal of Nonlinear Science , 25 (2015), No.1, 37-58.     [PDF file]
  95. Quansen Jiu, Jiahong Wu, and Wanrong Yang, Viscous approximation and weak solutions of the 3D axisymmetric Euler equations, Mathematical Methods in the Applied Sciences, 38 (2015), No.3, 548-558.     [PDF file]
  96. Wanrong Yang, Quansen Jiu and Jiahong Wu, Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation, Journal of Differential Equations, 257 (2014), No.11, 4188-4213.   [PDF file]
  97. Quansen Jiu, Changxing Miao, Jiahong Wu, and Zhifei Zhang, The 2D incompressible Boussinesq equations with general critical dissipation, SIAM Journal on Mathematical Analysis , 46 (2014), No.5, 3426-3454.    [PDF file]
  98. Dongho Chae, Peter Constantin and Jiahong Wu, An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations, Journal of Mathematical Fluid Mechanics , 16 (2014), No.3, 473-480.    [PDF file]
  99. Dongho Chae, Peter Constantin and Jiahong Wu, Erratum to: An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations, Journal of Mathematical Fluid Mechanics , 16 (2014), No.3, 481.    [PDF file]
  100. Jiahong Wu and Xiaojing Xu, Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation, Nonlinearity, 27 (2014), No.9, 2215-2232.     [PDF file]
  101. Xiaoxia Ren, Jiahong Wu, Zhaoyin Xiang and Zhifei Zhang, Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion, Journal of Functional Analysis, 267 (2014), No.2, 503-541.   [PDF file]
  102. Durga KC, Dipendra Regmi, Lizheng Tao and Jiahong Wu, The 2D Boussinesq-Navier-Stokes equations with logarithmically supercritical dissipation, submitted for publication.     [PDF file]
  103. Durga KC, Dipendra Regmi, Lizheng Tao and Jiahong Wu, The 2D Euler-Boussinesq equations with a singular velocity, Journal of Differential Equations, 257 (2014), No.1, 82-108.     [PDF file]
  104. Dhanapati Adhikari, Chongsheng Cao, Jiahong Wu and Xiaojing Xu, Small global solutions to the damped two-dimensional Boussinesq equations, Journal of Differential Equations, 256 (2014), No.11, 3594-3613. [PDF file]   Also posted in arXiv:1308.1723v1 [math.AP]  8 Aug 2013
  105. Chongsheng Cao, Jiahong Wu and Baoquan Yuan, The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion, SIAM Journal on Mathematical Analysis , 46 (2014), No.1, 588-602.     [PDF file] Also posted in arXiv:1306.3629v1 [math.AP]  16 Jun 2013
  106. Chongsheng Cao, Dipendra Regmi and Jiahong Wu, The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion, Journal of Differential Equations, 254 (2013), No.7, 2661-2681.     [PDF file]
  107. Chongsheng Cao and Jiahong Wu, Global regularity for the 2D anisotropic Boussinesq equations with vertical dissipation, Archive for Rational Mechanics and Analysis, 208 (2013), No.3, 985-1004.   [PDF file]    Also posted in arXiv:1108.2678v1 [math.AP]  12 Aug 2011
  108. Dongho Chae and Jiahong Wu, 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, 53 (2012), No.11, 115601, 15 pp.    [PDF file]
  109. Dongho Chae, Peter Constantin and Jiahong Wu, Deformation and symmetry in the inviscid SQG and the 3D Euler equations, Journal of Nonlinear Science, 22 (2012), No.5, 665-688.     [PDF file]
  110. Eric Devuyst, Jiahong Wu and Justin Garosi, Firm behavioral response to multiple sources of risky cash flow, Applied Mathematics Letters, 25 (2012), No.10, 1389-1393.
  111. Dongho Chae, Peter Constantin and Jiahong Wu, Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations, Indiana University Mathematics Journal, 61 (2012), No.5, 1997-2018.     Also posted in arXiv:1011.0171v1  [math.AP]  31 Oct 2010
  112. Dongho Chae and Jiahong Wu, The 2D Boussinesq equations with logarithmically supercritical velocities, Advances in Mathematics, 230 (2012), No.4-6, 1618-1645.     [PDF file]     Also posted in arXiv:1111.2082v1[math.AP]  9 Nov 2011
  113. John Meng-Kai Hong , Jiahong Wu and Juan-Ming Yuan, The generalized Buckley-Leverett and the regularized Buckley-Leverett equations, Journal of Mathematical Physics, 53 (2012), No. 5, 053701, 24 pp.     [PDF file]
  114. Dongho Chae, Peter Constantin, Diego Córdoba, Francisco Gancedo and Jiahong Wu, Generalized surface quasi-geostrophic equations with singular velocities, Communications on Pure and Applied Mathematics, 65 (2012), No.8, 1037-1066. [PDF file]     Also posted in arXiv:1101.3537v1  [math.AP]  18 Jan 2011
  115. Netra Khanal, Jiahong Wu and Juan-Ming Yuan, Fifth-order complex Korteweg<96>de Vries-type equations, J. Phys. A: Math. Theor., 45 (2012), No. 20, 205202, 17 pp     [PDF file]
  116. Quansen Jiu, Dongjuan Niu and Jiahong Wu, Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions, Nonlinearity, 25 (2012), No.3, 641-655.     [PDF file]
  117. Lizheng Tao and Jiahong Wu, A study on the global regularity for a model of the 3D axisymmetric Navier-Stokes equations, Nonlinear Analysis: TMA, 75 (2012), No.6, 3092-3098.    [PDF file]
  118. Peter Constantin, Ming-Chih Lai, Ramjee Sharma, Yu-Hou Tseng and Jiahong Wu, New numerical results for the surface quasi-geostrophic equation, Journal of Scientific Computing, 50 (2012), No.1, 1-28.     [PDF file, 18.7 MB]
  119. Chongsheng Cao and Jiahong Wu, Global regularity theory for the incompressible magnetohydrodynamic type equations, 19-45, in Lectures on the Analysis of Nonlinear Partial Differential Equations, Vol.2, Morningside Lectures in Mathematics, Edited by Fang-Hua Lin and Ping Zhang, International Press, Somerville, MA, 2012.
  120. Dongho Chae, Peter Constantin and Jiahong Wu, Inviscid models generalizing the 2D Euler and the surface quasi-geostrophic equations, Archive for Rational Mechanics and Analysis, 202 (2011), No.1, 35-62.     [PDF file]     Also posted in arXiv:1010.1506v1  [math.AP]  7 Oct 2010
  121. Dhanapati Adhikari, Chongsheng Cao and Jiahong Wu, Global regularity results for the 2D Boussinesq equations with vertical dissipation, Journal of Differential Equations, 251 (2011), No.6, 1637-1655.    [PDF file]
  122. Jiahong Wu, Global regularity for a class of generalized magnetohydrodynamic equations, Journal of Mathematical Fluid Mechanics, 13 (2011), No.2, 295-305.     [PDF file]
  123. Eric Devuyst, Justin Garosi and Jiahong Wu, Firm behavior under illiquidity risk, Applied Mathematics Letters, 24 (2011), No.5, 709-713.
  124. Chongsheng Cao and Jiahong Wu, Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion, Advances in Mathematics, 226 (2011), No.2, 1803-1822.     [PDF file]
  125. Dhanapati Adhikari, Chongsheng Cao and Jiahong Wu, The 2D Boussinesq equations with vertical viscosity and vertical diffusivity, Journal of Differential Equations, 249 (2010), No.5, 1078-1088.    [PDF file]
  126. Chongsheng Cao and Jiahong Wu, Two regularity criteria for the 3D MHD equations, Journal of Differential Equations, 248 (2010), No.9, 2263-2274.     [PDF file]     Also posted in arXiv: 0903.2577v1  [math.AP]  14 Mar 2009
  127. Netra Khanal, Jiahong Wu, Juan-Ming Yuan and Bingyu Zhang, Complex-valued Burgers and KdV-Burgers equations,
    Journal of Nonlinear Science, 20 (2010), No.3, 341-360.     [PDF file]
  128. Juan-Ming Yuan and Jiahong Wu, A dual Petrov-Galerkin method for integrable fifth-order Korteweg-de Vries type equations, Discrete and Continuous Dynamical Systems-Series A, 26 (2010), No.4, 1525-1536.     [PDF file]
  129. Yuelong Xiao, Zhouping Xin and Jiahong Wu, Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition, Journal of Functional Analysis, 257 (2009), No.11, 3375-3394.     [PDF file]
  130. Netra Khanal, Ramjee Sharma, Jiahong Wu and Juan-Ming Yuan, A dual Petrov-Galerkin method for extended fifth-order Korteweg-de Vries type equations,   Discrete Contin. Dyn. Syst. 2009, Dynamical Systems and Differential Equations. Proceedings of the 7th AIMS International Conference, Suppl. , 442-450.   [PDF file]
  131. John Meng-Kai Hong , Jiahong Wu and Juan-Ming Yuan, A new solution representation for the BBM equation in a quarter plane and the eventual periodicity, Nonlinearity, 22 (2009), No.8, 1927-1944.   [PDF file]
  132. Wengu Chen, Junfeng Li, Changxing Miao and Jiahong Wu, Low regularity solutions of two fifth-order KdV type equations, Journal d’Analyse Mathématique, 107 (2009), No.1, 221-238.     [PDF file]
  133. Peter Constantin and Jiahong Wu, Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations, Ann. Inst. H. Poincare Anal. Non Lineaire, 26 (2009), No.1, 159-180.     [PDF file]
  134. Jerry Bona and Jiahong Wu, Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane, Discrete and Continuous Dynamical Systems-Series A, 23 (2009), No.4, 1141-1168.   [PDF file]
  135. Peter Constantin, Gautam Iyer and Jiahong Wu, Global regularity for a modified critical dissipative quasi-geostrophic equation, Indiana University Mathematics Journal, 57 (2008), No.6, 2681-2692.   [PDF file]
  136. Peter Constantin and Jiahong Wu, Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation, Ann. Inst. H. Poincare Anal. Non Lineaire, 25 (2008), No.6, 1103-1110.   [PDF file]
  137. Netra Khanal, Jiahong Wu and Juan-Ming Yuan, The Kawahara equation in weighted Sobolev spaces, Nonlinearity, 21 (2008), No.7, 1489-1505.     [PDF file]
  138. Juan-Ming Yuan, Jie Shen and Jiahong Wu, A dual-Petrov-Galerkin method for the Kawahara-type equations, Journal of Scientific Computing, 34 (2008), No.1, 48-63.     [PDF file]
  139. Jiahong Wu, Regularity criteria for the generalized MHD equations, Communications in Partial Differential Equations, 33 (2008), No.2, 285-306.     [PDF file]
  140. Jie Shen, Jiahong Wu and Juan-Ming Yuan, Eventual periodicity for the KdV equation on a half line, Physica D, 227 (2007), No.2, 105-119.     [PDF file]
  141. Jiahong Wu, Existence and Uniqueness results for the 2-D dissipative quasi-geostrophic equation, Nonlinear Analysis, 67 (2007), No.11, 3013-3036.     [PDF file]
  142. Jiahong Wu and Juan-Ming Yuan, Local well-posedness and local (in space) regularity results for the complex KdV equation, Proceedings of the Royal Society of Edinburgh-Section A: Mathematics, 137 (2007), No. 1, 203-223.
  143. Jiahong Wu, Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces, Commun. Math. Phys., 263 (2006), No. 3, 803-831.     [PDF file]
  144. A. A. Alazman, John Albert, Jerry Bona, Min Chen and Jiahong Wu, Comparisons between the BBM equation and a Boussinesq system, Advances in Differential Equations, 11 (2006), No. 2, 121-166.   [PDF file]
  145. Jiahong Wu and Juan-Ming Yuan, The effect of dissipation on solutions of the complex KdV equation, Math. Comput. Simulation, 69 (2005), No. 5-6, 589-599.     [PDF file]
  146. Jiahong Wu, Solutions of the 2D quasi-geostrophic equation in Hölder spaces, Nonlinear Analysis, 62 (2005), No. 4, 579-594.    [PDF file]
  147. Jiahong Wu, The 2D QG equation with critical or super-critical dissipation, Nonlinearity, 18 (2005), 139-154.
  148. Juan-Ming Yuan and Jiahong Wu, The complex KdV equation with or without dissipation, Discrete Contin. Dyn. Syst. Ser. B, 5 (2005), No. 2, 489-512.     [PDF file]
  149. Jiahong Wu, Global solutions of the 2D dissipative QG equation in Besov spaces, SIAM J. Math. Anal., 36 (2004/2005), No. 3, 1014-1030.     [PDF file]
  150. Jiahong Wu, The generalized imcompressible Navier-Stokes equations in Besov spaces, Dynamics of Partial Differential Equations, 1 (2004), No. 4, 381-400.     [PDF file]
  151. Jiahong Wu, Regularity results for weak solutions of the 3D MHD equations, Partial Differential Equations and Applications, Discrete Contin. Dyn. Syst., 10 (2004), No. 1-2, 543-556. PDF
  152. Jiahong Wu, Generalized MHD equations, J. Differential Equations, 195 (2003), No.2, 284-312.     [PDF file]
  153. Jiahong Wu, The 2D dissipative quasi-geostrophic equation, Applied Math. Letters, 15 (2002), 925-930.
  154. Jerry Bona and Jiahong Wu, The zero-viscosity limit of the 2D Navier-Stokes equations, Studies in Applied Math., 109 (2002), No. 4, 265-278.     [PDF file]
  155. Jiahong Wu, Bounds and new approaches for the 3D MHD equations, J. Nonlinear Science, 12 (2002), No. 4, 395-413. [PDF file]
  156. Jiahong Wu, The quasi-geostrophic equation and its two regularizations, Communications in Partial Differential Equations, 27 (2002), No. 5/6, 1161-1181.     [PDF file]
  157. Jiahong Wu, Dissipative quasi-geostrophic equations with $L^p$ data, Electron J. Differential Equations, 2001 (2001), 1-13.     [PDF file]
  158. Peter Constantin, Diego Córdoba and Jiahong Wu, On the critical dissipative quasi-geostrophic equation, Indiana University Mathematics Journal, 50 (2001), No. 1, 97-107.     [PDF file]
  159. Jerry Bona and Jiahong Wu, Zero dissipation limits of nonlinear waves, Modélisation Mathématique et Analyse Numérique, 34 (2000), 275-301.
  160. Jiahong Wu, Analytic results related to magneto-hydrodynamic turbulence, Physica D, 136 (2000), 353-372.
  161. Peter Constantin and Jiahong Wu, Behavior of solutions of 2D quasi-geostrophic equations, SIAM J. Math. Anal., 30 (1999), 937-948.     [PDF file]
  162. Jiahong Wu, The complex Ginzburg-Landau equation with data in Sobolev spaces of negative indices, Houston J. Math. , 25 (1999), No. 2, 387-397.     [PDF file]
  163. Jiahong Wu, Well-posedness of a semi-linear heat equation with weak initial data, J. Fourier Analysis and Applications, 4 (1998), 629-642.     [PDF file]
  164. Jiahong Wu, The inviscid limit of the complex Ginzburg-Landau equation, J. Differential Equations, 142 (1998), 413-433. [PDF file]
  165. Jiahong Wu, Quasi-geostrophic type equations with weak initial data, Electron J. Differential Equations, 1998 (1998), 1-10. [PDF file]
  166. Jiahong Wu, Inviscid limits and regularity estimates for the solutions of the 2D dissipative quasi-geostrophic equations, Indiana University Mathematics Journal, 46 (1997), No. 4, 1113-1124.     [PDF file]
  167. Jiahong Wu, Viscous and inviscid magneto-hydrodynamics equations, Journal d’Analyse Mathématique, 73 (1997), 251-265.
  168. Jiahong Wu, Quasi-geostrophic type equations with initial data in Morrey spaces, Nonlinearity, 10 (1997), 1409-1420.     [PDF file]
  169. Peter Constantin and Jiahong Wu, Statistical solutions of the Navier-Stokes equations on the phase space of vorticity and their inviscid limits, J. Math. Phys. , 38 (1997), 3031-3045.
  170. Peter Constantin and Jiahong Wu, The inviscid limit for non-smooth vorticity, Indiana University Mathematics Journal, 45 (1996), No. 1, 67-81.     [PDF file]
  171. Peter Constantin and Jiahong Wu, Vanishing viscosity limit for vortex patches, Institut Mittag-Leffler, 26 (1995), 1-15.
  172. Peter Constantin and Jiahong Wu, Inviscid limit for vortex patches, Nonlinearity, 8 (1995), 735-742.   [PDF file]