Publications

Updated February 28, 2025 

Book edited
[1] Mark Alber, Bei Hu, and Joachim Rosenthal (eds.), Current and future directions in applied mathematics, Birkhäuser Boston Inc., Boston, MA, 1997. http://doi.org/10.1007/978-1-4612-2012-1.

Book translated
[1] Ya-Zhe Chen and Lan-Cheng Wu, Second order elliptic equations and elliptic systems, translated by Bei Hu, Translations of Mathematical Monographs, vol. 174, American Mathematical Society, Providence, RI, 1998. https://www.ams.org/books/mmono/174/.

Books
[1] Bei Hu, Blow-up Theories for Semilinear Parabolic Equations, Lecture Notes in Mathematics volume 2018, Springer, 2011,  http://doi.org/10.1007/978-3-642-18460-4.
[2] Jin Liang and Bei Hu, Credit Rating Migration Risks in Structure Models, Springer, 2024,  http://doi.org/10.1007/978-981-97-2179-5.

Referred papers
[1] Bei Hu, Fully nonlinear elliptic equations with gradient constraint, Beijing Daxue Xuebao (Journal of Peking University) 5 (1986), 78–91 (English). https://en.cnki.com.cn/Article_en/CJFDTotal-BJDZ198605006.htm.
[2] Bei Hu, Boundary value problems for fully nonlinear elliptic equations with sufficiently large coefficients in the zero-order terms, Journal of Mathematical Research and Exposition 7 (1987), no. 4, 615–626 (Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-SXYJ198704022.htm.
[3] Bei Hu, Periodic solutions of the parabolic Bellman equation and their stability, Advances in Mathematics (Beijing) 17 (1988), no. 2, 164–168 (Chinese, with English summary). https://www.cnki.com.cn/Article/CJFDTOTAL-SXJZ198802003.htm.
[4] Bei Hu, Obstacle problems for a class of nonlinear elliptic equations, Journal of Partial Differential Equations Ser. B 1 (1988), no. 1, 1–11 (Chinese).
[5] Avner Friedman and Bei Hu, The Stefan problem for a hyperbolic heat equation, Journal of Mathematical Analysis and Application 138 (1989), no. 1, 249–279,  http://doi.org/10.1016/0022-247X(89)90334-X.
[6] Bei Hu, A quasi-variational inequality arising in elastohydrodynamics, SIAM Journal on Mathematical Analysis 21 (1990), no. 1, 18–36,  http://doi.org/10.1137/0521002.
[7] Bei Hu, A free boundary problem for a Hamilton-Jacobi equation arising in ion etching, Journal of Differential Equations 86 (1990), no. 1, 158–182,  http://doi.org/10.1016/0022-0396(90)90046-R.
[8] Bei Hu, A fiber-tapering problem, Nonlinear Analysis: Theory, Method and Application 15 (1990), no. 6, 513–525,  http://doi.org/10.1016/0362-546X(90)90056-M.
[9] Avner Friedman and Bei Hu, A free boundary problem arising in electrophotography, Nonlinear Analysis: Theory, Method and Application 16 (1991), no. 9, 729–759,  http://doi.org/10.1016/0362-546X(91)90080-K.
[10] Bei Hu, Diffusion of penetrant in a polymer: a free boundary problem, SIAM Journal on Mathematical Analysis 22 (1991), no. 4, 934–956,  http://doi.org/10.1137/0522060.
[11] Avner Friedman and Bei Hu, Homogenization approach to light scattering from polymer-dispersed liquid crystal films, SIAM Journal on Applied Mathematics 52 (1992), no. 1, 46–64,  http://doi.org/10.1137/0152004.
[12] Bei Hu, A nonlinear nonlocal parabolic equation for channel flow, Nonlinear Analysis: Theory, Method and Application 18 (1992), no. 10, 973–992,  http://doi.org/10.1016/0362-546X(92)90133-Y.
[13] Avner Friedman, Bei Hu, and J. J. L. Velázquez, A free-boundary problem modeling loop dislocations in crystals, Archive for Rational Mechanics and Analysis 119 (1992), no. 3, 229–291,  http://doi.org/10.1007/BF00381671.
[14] Avner Friedman and Bei Hu, The Stefan problem with kinetic condition at the free boundary, Annali della Scuola Normale Superiore – Pisa Cl. Sci. (4) 19 (1992), no. 1, 87–111. http://www.numdam.org/item/ASNSP_1992_4_19_1_87_0/.
[15] Bei Hu and Lihe Wang, A free boundary problem arising in electrophotography: solutions with connected toner region, SIAM Journal on Mathematical Analysis 23 (1992), no. 6, 1439–1454,  http://doi.org/10.1137/0523082.
[16] Avner Friedman and Bei Hu, A free boundary problem arising in superconductor modeling, Asymptotic Analysis 6 (1992), no. 2, 109–133,  http://doi.org/10.3233/ASY-1992-6201.
[17] Bei Hu and Hong-Ming Yin, Determination of the leading coefficient a(x) in the heat equation u_t = a(x)Δu, Quarterly of Applied Mathematics 51 (1993), no. 3, 577–583,  http://doi.org/10.1090/qam/1233531.
[18] Bei Hu, Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition, Differential and Integral Equations 7 (1994), no. 2, 301–313. https://projecteuclid.org/journals/differential-and-integral-equations/volume-7/issue-2/Nonexistence-of-a-positive-solution-of-the-Laplace-equation-with/die/1369330430.full.
[19] Bei Hu and Hong-Ming Yin, Global solutions and quenching to a class of quasilinear parabolic equations, Forum Mathematicum 6 (1994), no. 3, 371–383,  http://doi.org/10.1515/form.1994.6.371.
[20] Bei Hu and Hong-Ming Yin, The profile near blowup time for solution of the heat equation with a nonlinear boundary condition, Transactions of the American Mathematical Society 346 (1994), no. 1, 117–135,  http://doi.org/10.2307/2154944.
[21] Bei Hu and Hong-Ming Yin, Blowup of solution for the heat equation with a nonlinear boundary condition, Comparison methods and stability theory, Lecture Notes in Pure and Appl. Mathematical, vol. 162, Dekker, New York, 1994, pp. 189–198,  http://doi.org/10.1201/9781003072140-15.
[22] Bei Hu, A free boundary problem arising in smoulder combustion, Journal of Partial Differential Equations 7 (1994), no. 3, 193–214. https://www.global-sci.org/intro/article_detail/jpde/5682.html.
[23] Bei Hu, Nondegeneracy and single-point-blowup for solution of the heat equation with a nonlinear boundary condition, Journal of Mathematical Science, The University of Tokyo 1 (1994), no. 2, 251–276. https://www.ms.u-tokyo.ac.jp/journal/abstract_e/jms010201_e.html.
[24] Bei Hu and Jianhua Zhang, A free boundary problem arising in the modelling of internal oxidation of binary alloys, European Journal of Applied Mathematics 6 (1995), no. 3, 225–245,  http://doi.org/10.1017/S0956792500001819.
[25] Bei Hu and Jiongmin Yong, Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints, SIAM Journal on Control Optimization 33 (1995), no. 6, 1857–1880,  http://doi.org/10.1137/S0363012993250074.
[26] Bei Hu and Hong-Ming Yin, Semilinear parabolic equations with prescribed energy, Rendicenti del Circolo Matematico di Palermo (2) 44 (1995), no. 3, 479–505,  http://doi.org/10.1007/BF02844682.
[27] Bei Hu and Jianhua Zhang, Global existence for a class of non-Fickian polymer-penetrant systems, Journal of Partial Differential Equations 9 (1996), no. 3, 193–208. https://global-sci.org/intro/article_detail/jpde/5621.html.
[28] Avner Friedman and Bei Hu, A Stefan problem for multidimensional reaction-diffusion systems, SIAM Journal on Mathematical Analysis 27 (1996), no. 5, 1212–1234,  http://doi.org/10.1137/S0036141094272848.
[29] Bei Hu and Hong-Ming Yin, On critical exponents for the heat equation with a nonlinear boundary condition, Analyse Non Lineaire – Annales de l‘Institut Henri Poincaré 13 (1996), no. 6, 707–732,  http://doi.org/10.1016/S0294-1449(16)30120-2.
[30] Bei Hu and Hong-Ming Yin, Critical exponents for a system of heat equations coupled in a non-linear boundary condition, Mathematical Methods in the Applied Sciences 19 (1996), no. 14, 1099–1120,  3.0.CO;2-J” >http://doi.org/10.1002/(SICI)1099-1476(19960925)19:14¡1099::AID-MMA780¿3.0.CO;2-J.
[31] Bei Hu, Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition, Differential and Integral Equations 9 (1996), no. 5, 891–901. https://projecteuclid.org/journals/differential-and-integral-equations/volume-9/issue-5/Remarks-on-the-blowup-estimate-for-solution-of-the-heat/die/1367871522.full.
[32] Bei Hu and Hong-Ming Yin, The DeGiorgi-Nash-Moser type of estimate for parabolic Volterra integrodifferential equations, Pacific Journal of Mathematics 178 (1997), no. 2, 265–277,  http://doi.org/10.2140/pjm.1997.178.265.
[33] Jong-Shenq Guo and Bei Hu, The profile near quenching time for the solution of a singular semilinear heat equation, Proceedings of the Edinburgh Mathematical Society (2) 40 (1997), no. 3, 437–456,  http://doi.org/10.1017/S0013091500023932.
[34] Avner Friedman and Bei Hu, Head-media interaction in magnetic recording, Archive for Rational Mechanics and Analysis 140 (1997), no. 1, 79–101,  http://doi.org/10.1007/s002050050061.
[35] Bei Hu and Hong-Ming Yin, On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition, Journal of Mathematical Analysis and Applications 209 (1997), no. 2, 683–711,  http://doi.org/10.1006/jmaa.1997.5397.
[36] Avner Friedman, Bei Hu, and Yong Liu, A boundary value problem for the Poisson equation with multi-scale oscillating boundary, Journal of Differential Equations 137 (1997), no. 1, 54–93,  http://doi.org/10.1006/JDEQ.1997.3257.
[37] Avner Friedman and Bei Hu, A non-stationary multi-scale oscillating free boundary for the Laplace and heat equations, Journal of Differential Equations 137 (1997), no. 1, 119–165,  http://doi.org/10.1016/S0022-0396(06)80006-9.
[38] Avner Friedman and Bei Hu, Optimal control of a chemical vapor deposition reactor, Journal of Optimization Theory and Applications 97 (1998), no. 3, 623–644,  http://doi.org/10.1023/A:1022694210246.
[39] Avner Friedman, Bei Hu, and J. J. L. Velazquez, Asymptotics for the biharmonic equation near the tip of a crack, Indiana University Mathematics Journal 47 (1998), no. 4, 1327–1395. https://www.jstor.org/stable/24900069.
[40] Avner Friedman and Bei Hu, A Stefan problem for a protocell model, SIAM Journal on Mathematical Analysis 30 (1999), no. 4, 912–926,  http://doi.org/10.1137/S0036141098337588.
[41] Jong-Shenq Guo and Bei Hu, Quenching profile for a quasilinear parabolic equation, Quarterly of Applied Mathematics 58 (2000), no. 4, 613–626. https://www.jstor.org/stable/43638503.
[42] Avner Friedman, Bei Hu, and J. J. L. Velazquez, The evolution of stress intensity factors and the propagation of cracks in elastic media, Archive for Rational Mechanics and Analysis 152 (2000), no. 2, 103–139,  http://doi.org/10.1007/s002050000072.
[43] Avner Friedman, Bei Hu, and J. J. L. Velazquez, On the zeros of quotients of Bessel functions, Chinese Annals of Mathematics, Ser. B 21 (2000), no. 3, 285–296,  http://doi.org/10.1142/S0252959900000315.
[44] Avner Friedman, Bei Hu, and J. J. L. Velazquez, The evolution of stress intensity factors in the propagation of two dimensional cracks, European Journal of Applied Mathematics 11 (2000), no. 5, 453–471,  http://doi.org/10.1017/S0956792500004265.
[45] Avner Friedman, Bei Hu, and J. J. L. Velazquez, A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions, Interfaces and Free Boundaries 3 (2001), no. 2, 143–199,  http://doi.org/10.4171/IFB/37.
[46] Jong-Shenq Guo and Bei Hu, Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary, Journal of Mathematical Analysis and Applications 269 (2002), no. 1, 28–49,  http://doi.org/10.1016/S0022-247X(02)00002-1.
[47] Marco A. Fontelos, Avner Friedman, and Bei Hu, Mathematical analysis of a model for the initiation of angiogenesis, SIAM Journal on Mathematical Analysis 33 (2002), no. 6, 1330–1355,  http://doi.org/10.1137/S0036141001385046.
[48] Jong-Shenq Guo and Bei Hu, Blowup behavior for a nonlinear parabolic equation of nondivergence form, Nonlinear Analysis: Theory, Method and Application 61 (2005), no. 4, 577–590,  http://doi.org/10.1016/j.na.2005.01.022.
[49] Bei Hu and David P. Nicholls, Analyticity of Dirichlet-Neumann operators on Hölder and Lipschitz domains, SIAM Journal on Mathematical Analysis 37 (2005), no. 1, 302–320,  http://doi.org/10.1137/S0036141004444810.
[50] Avner Friedman and Bei Hu, Bifurcation from stability to instability for a free boundary problem arising in a tumor model, Archive for Rational Mechanics and Analysis 180 (2006), no. 2, 293–330,  http://doi.org/10.1007/s00205-005-0408-z.
[51] Avner Friedman and Bei Hu, Asymptotic stability for a free boundary problem arising in a tumor model, Journal of Differential Equations 227 (2006), no. 2, 598–639,  http://doi.org/10.1016/j.jde.2005.09.008.
[52] Borys V. Bazaliy, Ya. B. Bazaliy, Avner Friedman, and Bei Hu, Energy considerations in a model of nematode sperm crawling, Mathematical Biosciences and Engineering 3 (2006), no. 2, 347–370,  http://doi.org/10.3934/mbe.2006.3.347.
[53] Jong-Shenq Guo and Bei Hu, On a two-point free boundary problem, Quarterly of Applied Mathematics 64 (2006), no. 3, 413-431,  http://doi.org/10.1090/S0033-569X-06-01021-1.
[54] Avner Friedman and Bei Hu, Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation, Journal of Mathematical Analysis and Application 327 (2007), no. 1, 643-664,  http://doi.org/10.1016/j.jmaa.2006.04.034.
[55] Avner Friedman and Bei Hu, Bifurcation for a free boundary problem modeling tumor growth by Stokes equation, SIAM Journal on Mathematical Analysis 39 (2007), no. 1, 174-194,  http://doi.org/10.1137/060656292.
[56] Jin Liang, Bei Hu, Lishang Jiang, and Baojun Bian, On the rate of convergence of the Binomial Tree Scheme for American Options, Numerische Mathematik 107 (2007), no. 2, 333-352,  http://doi.org/10.1007/s00211-007-0091-0.
[57] Avner Friedman and Bei Hu, Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems, Indiana University Mathematics Journal 56 (2007), no. 5, 2133-2158. https://www.jstor.org/stable/24902763.
[58] Avner Friedman and Bei Hu, Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems, Archive for Rational Mechanics and Analysis 186 (2007), no. 2, 251-274,  http://doi.org/10.1007/s00205-007-0069-1.
[59] Jong-Shenq Guo and Bei Hu, Blowup rate estimates for the heat equation with a nonlinear gradient source term, Discrete and Continuous Dynamical Systems – Series A 20 (2008), no. 4, 927-937,  http://doi.org/10.3934/DCDS.2008.20.927.
[60] Avner Friedman and Bei Hu, Stability and instability of Liapounov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model, Transactions of the American Mathematical Society 360 (2008), no. 10, 5291-5342,  http://doi.org/10.1090/S0002-9947-08-04468-1.
[61] Xinfu Chen, Avner Friedman, and Bei Hu, A Parabolic–Hyperbolic Quasilinear System, Communications in Partial Differential Equations 33 (2008), no. 6, 969–987,  http://doi.org/10.1080/03605300701588714.
[62] Avner Friedman and Bei Hu, The role of oxygen in tissue maintenance: a mathematical model, Mathematical Models and Methods in Applied Sciences 18 (2008), no. 8, 1409–1441,  http://doi.org/10.1142/S021820250800308X.
[63] Xinfu Chen and Bei Hu, Viscosity solutions of a discontinuous Hamilton-Jacobi equation, Interfaces and Free boundaries 10 (2008), no. 3, 339–359,  http://doi.org/10.4171/IFB/192.
[64] Hua Zhang, Changzhen Qu, and Bei Hu, Bifurcation for a free boundary problem modeling a protocell, Nonlinear Analysis, Theory, Method and Application 70 (2009), 2779–2795,  http://doi.org/10.1016/j.na.2008.04.003.
[65] Bei Hu, Lishang Jiang, and Jin Liang, Optimal convergence rate of the Binomial Tree Scheme for American options, Journal of Computational and Applied Mathematics 230 (2009), 583–599,  http://doi.org/10.1016/j.cam.2008.12.018.
[66] Jong-Shenq Guo, Bei Hu, and Chi-Jen Wang, A nonlocal quenching problem arising in micro-electro mechanical system, Quarterly of Applied Mathematics 67 (2009), no. 4, 725–734.
[67] Avner Friedman, Bei Hu, and Chiu-Yen Kao, Cell cycle control at the first restriction point and its effect on tissue growth, Journal of Mathematical Biology 60 (2010), 881–907,  http://doi.org/10.1007/s00285-009-0290-7.
[68] Zhengce Zhang and Bei Hu, Gradient blowup rate for a semilinear parabolic equation, Discrete and Continuous Dynamical Systems – Series A 26 (2010), no. 2, 767–779,  http://doi.org/10.3934/dcds.2009.26.767.
[69] Zhengce Zhang and Bei Hu, Rate estimates of gradient blowup for a heat equation with exponential nonlinearity, Nonlinear Analysis: Theory, Method and Application 72 (2010), 4594–4601,  http://doi.org/10.1016/j.na.2010.02.036.
[70] Bei Hu and David Nicholls, The domain of analyticity of Dirichlet to Neumann operators, Proceedings of The Royal Society of Edinburgh, Series A 140 (2010), no. 2, 367–389,  http://doi.org/10.1017/S0308210509000493.
[71] Jin Liang, Bei Hu, and Lishang Jiang, Optimal convergence rate of the binomial tree scheme for American options with jump diffusion and their free boundaries, SIAM Journal on Financial Mathematics 1 (2010), no. 1, 30–65,  http://doi.org/10.1137/090746239.
[72] Avner Friedman, Bei Hu, and Chuan Xue, Analysis of a mathematical model of ischemic cutaneous wounds, SIAM Journal on Mathematical Analysis 42 (2010), no. 5, 2013–2040,  http://doi.org/10.1137/090772630.
[73] Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, and Yong-Tao Zhang, Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning, Discrete and Continuous Dynamical Systems – Series S 4 (2011), no. 6, 1413–1428,  http://doi.org/10.3934/dcdss.2011.4.1413.
[74] Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, and Andrew J. Sommese, A three-dimensional steady-state tumor system, Applied Mathematics and Computation 218 (2011), no. 6, 2661–2669,  http://doi.org/10.1016/j.amc.2011.08.006.
[75] Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, and Yong-Tao Zhang, Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core, Nonlinear Analysis, Real World Applications 13 (2012), 694–709,  http://doi.org/10.1016/j.nonrwa.2011.08.010.
[76] Avner Friedman, Bei Hu, and Chuan Xue, A three dimensional model of wound healing: analysis and computation, Discrete and Continuous Dynamical Systems – Series B 17 (2012), no.  8, 2691–2712,  http://doi.org/10.3934/dcdsb.2012.17.2691.
[77] Xinfu Chen, Jongshenq Guo, and Bei Hu, Dead-core rates for the porous medium equation with a strong absorption, Discrete and Continuous Dynamical Systems – Series B 17 (2012), no. 6, 1761–1774,  http://doi.org/10.3934/dcdsb.2012.17.1761.
[78] Bei Hu, Lishang Jiang, Jin Liang, and Wei Wei, A Fully Nonlinear PDE Problem from Pricing CDS with Counterparty Risk, Discrete and Continuous Dynamical Systems – Series B 17 (2012), no. 6, 2001–2016,  http://doi.org/10.3934/dcdsb.2012.17.2001.
[79] Jong-Shenq Guo, Yung-Jen Lin Guo, and Bei Hu, Global existence of solution to a nonlocal parabolic problem modeling linear friction welding, Taiwanese Journal of Mathematics 16 (2012), no. 1, 107–112.
[80] Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, and Yong-Tao Zhang, Continuation along bifurcation branches for a tumor model with a necrotic core, Journal of Scientific Computing 53 (2012), no. 2, 395–413,  http://doi.org/10.1007/s10915-012-9575-x.
[81] Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Timothy McCoy, and Andrew J. Sommese, Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation, Journal of Computational and Applied Mathematics 237 (2013), no. 1, 326–344,  http://doi.org/10.1016/j.cam.2012.06.001.
[82] Wenrui Hao, Bei Hu, and Andrew J. Sommese, Cell cycle control and bifurcation for a free boundary problem modeling tissue growth, Journal of Scientific Computing 56 (2013), no. 2, 350–365,  http://doi.org/10.1007/s10915-012-9678-4.
[83] Avner Friedman, Bei Hu, and James P. Keener, The diffusion approximation for linear nonautonomous reaction-hyperbolic equations, SIAM Jounrnal of Mathematical Analysis 45 (2013), no.  4, 2285–2298,  http://doi.org/10.1137/110842600.
[84] Avner Friedman, Bei Hu, and Chuan Xue, On a Multiphase Multicomponent Model of Biofilm Growth, Archive for Rational Mechanics and Analysis 211 (2014), 257–300,  http://doi.org/10.1007/s00205-013-0665-1 .
[85] Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, and Andrew J. Sommese, A bootstrapping approach for computing multiple solutions of differential equations, Journal of Computational and Applied Mathematics 258 (2014), no. 2, 181–190,  http://doi.org/10.1016/j.cam.2013.09.007.
[86] Bei Hu, Jin Liang, and Yuan Wu, A free boundary problem for corporate bond with credit rating migration, Journal of Mathematical Analysis and Applications 428 (2015), 896–909,  http://doi.org/10.1016/j.jmaa.2015.03.040.
[87] Friedman Avner, Wenrui Hao, and Bei Hu, A free boundary problem for steady small plaques in the artery and their stability, Journal of Differential Equations 259 (2015), no. 4, 1227–1255,  http://doi.org/10.1016/j.jde.2015.02.002.
[88] Xinfu Chen, Bei Hu, Jin Liang, and Yajing Zhang, Convergence rate of free boundary of numerical scheme for America option, Discrete and Continuous Dynamical Systems, Ser. B 21 (2016), no.  5, 1435–1444,  http://doi.org/10.3934/dcdsb.2016004.
[89] Jin Liang, Yuan Wu, and Bei Hu, Asymptotic traveling wave solution for a credit rating migration problem, Journal of Differential Equations 261 (2016), 1017–1045,  http://doi.org/10.1016/j.jde.2016.03.032.
[90] Yaodan Huang, Zhengce Zhang, and Bei Hu, Bifurcation for a free-boundary tumor model with angiogenesis, Nonlinear Analysis: Real World Applications 35 (2017), 483–502,  http://doi.org/10.1016/j.nonrwa.2016.12.003.
[91] Xiaoli Yang, Jin Liang, and Bei Hu, Minimization of carbon abatement cost: modeling, analysis and simulation, Discrete and Continuous Dynamical Systems, Ser. B 22 (2017), no.  7, 2939–2969,  http://doi.org/10.3934/dcdsb.2017158.
[92] Jongshenq Guo and Bei Hu, Quenching rate for a nonlocal problem arising in the micro-electro mechanical system, Journal of Differential Equations 264 (2018), 3285-3311,  http://doi.org/10.1016/j.jde.2017.11.017.
[93] Wenrui Hao, Bei Hu, Shuwang Li, and Lingyu Song, Convergence of boundary integral method for a free boundary system, Journal of Computational and Applied Mathematics 334 (2018), 128–157,  http://doi.org/10.1016/j.cam.2017.11.016.
[94] Hongjing Pan, Ruixiang Xing, and Bei Hu, A free boundary problem with two moving boundaries modeling grain hydration, Nonlinearity 31 (2018), 3591–3616,  http://doi.org/10.1088/1361-6544/aabf04.
[95] Yan Li, Zhengce Zhang, and Bei Hu, Convergence rate of an explicit finite difference scheme for a credit rating migration problem, SIAM Journal on Numerical Analysis 56 (2018), no.  4, 2430–2460,  http://doi.org/10.1137/17M1151833.
[96] Yaodan Huang, Zhengce Zhang, and Bei Hu, Bifurcation from stability to instability for a free-boundary tumor model with angiogenesis, Discrete and Continuous Dynamical Systems, Ser. A 39 (2019), no. 5, 2473–2510.
[97] Yaodan Huang, Zhengce Zhang, and Bei Hu, Linear stability for a free-boundary tumor model with a periodic supply of external nutrients, Mathematical Methods in Applied Sciences 42 (2019), 1039–1054,  http://doi.org/10.1002/MMA.5412.
[98] Rui Li and Bei Hu, A parabolic-hyperbolic system modeling the growth of a tumor, Journal of Differential Equations 267 (2019), 693–741,  http://doi.org/10.1016/j.jde.2019.01.020.
[99] Yuan Wu, Jin Liang, and Bei Hu, A free boundary problem for defaultable corporate bond with credit rating migration risk and its asymptotic behavior, Discrete and Continuous Dynamical Systems, Ser. B 25 (2020), no. 3, 1043–1058,  http://doi.org/10.3934/dcdsb.2019207.
[100] Xinyue Evelyn Zhao and Bei Hu, The impact of time delay in a tumor model, Nonlinear Analysis: Real World Applications 51 (2020), 103015 (February),  http://doi.org/10.1016/j.nonrwa.2019.103015.
[101] Xinyue Evelyn Zhao and Bei Hu, Symmetry-breaking bifurcation for a free-boundary tumor model with time delay, Journal of Differential Equations 269 (2020), 1829–1862,  http://doi.org/10.1016/j.jde.2020.01.022.
[102] Junfan Lu and Bei Hu, Bifurcation for a free boundary problem modeling the growth of multi-layer tumors with ECM and MDE interactions, Mathematical Methods in Applied Sciences 43 (2020), 3617–3636,  http://doi.org/10.1002/mma.6142.
[103] Bei Hu and Youshan Tao, Critical mass of lymphocytes for the coexistence in a chemotaxis system modeling tumor-immune cell interactions, Zeitschrift für Angewandte Mathematik und Physik 71 (2020), 5,  http://doi.org/10.1007/s00033-020-01405-6 .
[104] Yaodan Huang, Zhengce Zhang, and Bei Hu, Asymptotic stability for a free boundary tumor model with angiogenesis, Journal of Differential Equations 270 (2021), no.  167, 961–993,  http://doi.org/10.1016/j.jde.2020.08.050 .
[105] Huijuan Song, Bei Hu, and Zejia Wang, Stationary solutions of a free boundary problem modeling the growth of necrotic tumors with angiogenesis, Discrete and Continuous Dynamical Systems, Ser. B  261 (2021), 667–691,  http://doi.org/10.3934/dcdsb.2020084.
[106] Xinyue Evelyn Zhao and Bei Hu, Bifurcation for a free boundary problem modeling a small arterial plaque, Journal of Differential Equations 288 (2021), 250–287,  http://doi.org/10.1016/j.jde.2021.04.008.
[107] Xinyue Evelyn Zhao, Wenrui Hao, and Bei Hu, Convergence analysis of neural networks for solving a free boundary system, Computers and Mathematics with Applications 93 (2021), 144–155,  http://doi.org/10.1016/j.camwa.2021.03.032.
[108] Xinyue Evelyn Zhao and Bei Hu, On the first bifurcation point for a free boundary problem modeling a small arterial plaque, Mathematical Methods in the Applied Sciences 45 (2022), no. 9, 4974–4988,  http://doi.org/10.1002/mma.8087.
[109] Wenhua He, Ruixiang Xing, and Bei Hu, Linear stability analysis for a free boundary problem modeling multi-layer tumor growth with time delay, SIAM Journal on Mathematical Analysis 54 (2022), no. 4, 4238–4276,  http://doi.org/10.1137/21M1437494.
[110] Wenhua He, Ruixiang Xing, and Bei Hu, The linear stability for a free boundary problem modeling multi-layer tumor growth with time delay, Mathematical Methods in the Applied Sciences 45 (2022), no. 11, 7096–7118,  http://doi.org/10.1002/mma.8227.
[111] Heqian Lu, Bei Hu, and Zhengce Zhang, Blowup time estimates for the heat equation with a nonlocal boundary condition, Zeitschrift für Angewandte Mathematik und Physik 73 (2022), Article 60,  http://doi.org/10.1007/s00033-022-01698-9.
[112] Caihong Chang, Bei Hu, and Zhengce Zhang, Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms, Nonlinear Analysis: Theory, Method and Application 220 (2022), Article 112873,  http://doi.org/10.1016/j.na.2022.112873.
[113] Xinyue Evelyn Zhao, Wenrui Hao, and Bei Hu, Two neural-network-based methods for solving elliptic obstacle problems, Chaos, Solitons and Fractals: the Interdisciplinary Journal of Nonlinear Science 161 (2022), 112313,  http://doi.org/10.1016/j.chaos.2022.112313.
[114] Yaodan Huang and Bei Hu, Symmetry-breaking longitude bifurcations for a free boundary problem modeling small plaques in three dimensions, Journal of Mathematical Biology  85 (2022), no. 5, Article 58,  http://doi.org/10.1007/s00285-022-01827-y.
[115] Xiaohong Zhang, Bei Hu, and Zhengce Zhang, A three-dimensional angiogenesis model with time-delay, Discrete and Continuous Dynamical Systems, Ser. B  28 (2023), no. 3, 1823 – 1854,  http://doi.org/10.3934/dcdsb.2022149.
[116] Xiaohong Zhang, Bei Hu, and Zhengce Zhang, Bifurcation for a free-boundary problem modeling small plaques with reverse cholesterol transport, Journal of Mathematical Analysis and Application  517 (2023), Article 126604,  http://doi.org/10.1016/j.jmaa.2022.126604.
[117] Min-Jhe Lu, Wenrui Hao, Bei Hu, and Shuwang Li, Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis, Journal of Mathematical Biology  86 (2023), no. 1, Article 19,  http://doi.org/10.1007/s00285-022-01862-9.
[118] Caihong Chang, Bei Hu, and Zhengce Zhang, Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity, Journal of Differential Equations  359 (2023), 23–66,  http://doi.org/10.1016/j.jde.2023.02.030.
[119] Yaodan Huang and Bei Hu, Periodic solution for a free boundary problem modeling small plaques, Communications in Information and Systems 23 (2023), no. 3, 263–287,  http://doi.org/10.4310/CIS.2023.v23.n3.a3.
[120] Xinfu Chen, Bei Hu, Jin Liang, and Hongming Yin, The free boundary problem for measuring credit rating migration risks (in Chinese), Scientia Sinica Mathematica  54 (2024), no. 3, 285–312,  http://doi.org/10.1360/SSM-2022-0151.
[121] Yaodan Huang and Bei Hu, Symmetry-breaking combined latitude-longitude bifurcations for a free boundary problem modeling small plaques, Discrete and Continuous Dynamical Systems, Ser. B  29 (2024), no. 10, 4120–4149,  http://doi.org/10.3934/dcdsb.2024037.
[122] Yaodan Huang and Bei Hu, Periodic solution for a free-boundary tumor model with small diffusion-to-growth ratio, Journal of Differential Equations 399 (2024), 252–280,  http://doi.org/10.1016/j.jde.2024.03.028.
[123] Jin Liang and Bei Hu, Credit Rating Migration Risks in Structure Models, Lecture Notes in Mathematics volume 2018, Springer, 2024,  http://doi.org/10.1007/978-981-97-2179-5.
[124] Jiangyi Liu and Bei Hu, Stability of periodic solution for a free boundary problem modeling small plaques, Mathematical Biosciences 382 (2025), Article 109397,  http://doi.org//10.1016/j.mbs.2025.109397.