基本介紹
人物簡介,教育經歷,工作經歷,研究方向,科研成果,社會兼職,
人物簡介
胡鋇，教授、博士生導師、就職於University of Notre Dame、美國數學會教授委員會成員、中國人民大學兼職教授。現任Nonlinear Analysis: Real World Applications、Discrete and Continuous Dynamical Systems - Series B等國際知名雜誌副主編。主持美國國家科學基金6項。兩次獲得Kaneb教學獎。組織國際學術會議8次。在重要學術會議做邀請報告百餘次。在Archive for Rational Mechanics and Analysis、Comm. Partial Differential Equations、J. Differential Equations、SIAM Journal on MathematicalAnalysis、SIAM Journal on Applied Mathematics、Transactions of the American Mathematical Society、Mathematical Models and Methods in Applied Sciences等知名雜誌發表論文百餘篇。
教育經歷
1982, 華東師範大學（上海）數學系， 學士
1984, 華東師範大學數學系， 碩士
工作經歷
1985-1987, 普渡大學（美國，印州，西拉斐特市）數學系， 教學助理
1990-1994, 聖母大學（美國，印州，聖母市）數學系， 助理教授
1994-1999, 聖母大學數學系， 副教授
1999-2010, 聖母大學數學系， 教授
2007-2008, 聖母大學數學系， 副系主任
2008-2010, 聖母大學數學系， 系主任
2010-2013, 聖母大學理學院， 副院長
2010-至今, 聖母大學套用計算數學統計系， 教授
2015-2018, 聖母大學套用計算數學統計系， 副系主任
研究方向
科研成果
Book edited
[1] Mark Alber, Bei Hu, and Jochim Rosenthal (eds.), Current and future directions in applied
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. MR 1616087 (99i:35016)
Book
[1] Bei Hu, Blow-up Theories for Semilinear Parabolic Equations, Lecture Notes in Mathematics,
vol. 2018 (Book series), Springer, New York, New York, 2011.
Refereed papers
[1] Bei Hu, Fully nonlinear elliptic equations with gradient constraint, Beijing Daxue Xuebao (Journal
of Peking University) (1986), no. 5, 78–91 (English). MR 959408 (89k:35102)
[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). MR 938240 (90a:35090)
[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). MR 960937
(89i:35008)
[4] Bei Hu, Obstruction problems for a class of nonlinear elliptic equations, Journal of Partial
Differential Equations Ser. B 1 (1988), no. 1, 1–11 (Chinese). MR 986423 (90c:35097)
[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. MR 988334 (90d:35307)
[6] Bei Hu, A quasi-variational inequality arising in elastohydrodynamics, SIAM Journal on Mathematical
Analysis 21 (1990), no. 1, 18–36. MR 1032725 (91c:35163)
[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. MR 1061895 (91k:35256)
[8] Bei Hu, A fiber-tapering problem, Nonlinear Analysis: Theory, Method and Application 15
(1990), no. 6, 513–525. MR 1072310 (92g:35212)
[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. MR 1097128
(92g:35241)
[10] Bei Hu, Diffusion of penetrant in a polymer: a free boundary problem, SIAM Journal on Mathematical
Analysis 22 (1991), no. 4, 934–956. MR 1112057 (92d:35309)
[11] Avner Friedman and Bei Hu, Homogenization approach to light scattering from polymerdispersed
liquid crystal films, SIAM Journal on Applied Mathematics 52 (1992), no. 1, 46–64.
MR 1148318 (92m:78016)
[12] Bei Hu, A nonlinear nonlocal parabolic equation for channel flow, Nonlinear Analysis: Theory,
Method and Application 18 (1992), no. 10, 973–992. MR 1166535 (93f:35120)
[13] Avner Friedman, Bei Hu, and J. J. L. Velazquez ´ , A free-boundary problem modeling
loop dislocations in crystals, Archive for Rational Mechanics and Analysis 119 (1992), no. 3,
229–291. MR 1179472 (93h:35217)
[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. MR 1183759
(93k:35277)
[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.
MR 1185637 (93i:35158)
[16] Avner Friedman and Bei Hu, A free boundary problem arising in superconductor modeling,
Asymptotic Analysis 6 (1992), no. 2, 109–133. MR 1193107 (93k:82071)
[17] Bei Hu and Hong-Ming Yin, Determination of the leading coefficient a(x) in the heat equation
ut = a(x)∆u, Quarterly of Applied Mathematics 51 (1993), no. 3, 577–583. MR 1233531
(94g:35219)
[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. MR 1255890
(95a:35047)
[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. MR 1269847 (95e:35092)
[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. MR 1270664 (95c:35040)
[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. MR 1291619 (95f:35123)
[22] Bei Hu, A free boundary problem arising in smoulder combustion, Journal of Partial Differential
Equations 7 (1994), no. 3, 193–214. MR 1294756 (95j:35242)
[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. MR 1317460 (95m:35077)
[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.
MR 1336426 (96d:35152)
[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. MR 1358099 (97a:49033)
[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. MR 1388759
(97c:35094)
[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. MR 1413446
(97k:35208)
[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. MR 1402437
(97c:35214)
[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 Poincar´e 13 (1996),
no. 6, 707–732. MR 1420495 (97g:35089)
[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. MR 1409541 (97h:35115)
[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. MR 1392086
(97e:35092)
[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.
MR 1447414 (98a:35051)
[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. MR 1475908 (98i:35087)
[34] Avner Friedman and Bei Hu, Head-media interaction in magnetic recording, Archive for
Rational Mechanics and Analysis 140 (1997), no. 1, 79–101. MR 1482929 (99c:76041)
[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. MR 1474632 (98j:35105)
[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. MR 1451536 (98j:35045)
[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. MR
1451538 (98g:35223)
[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. MR 1618369
(2000c:49020)
[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.
MR 1687134 (2000c:74049)
[40] Avner Friedman and Bei Hu, A Stefan problem for a protocell model, SIAM Journal on
Mathematical Analysis 30 (1999), no. 4, 912–926. MR 1684731 (2000m:92007)
[41] Jong-Shenq Guo and Bei Hu, Quenching profile for a quasilinear parabolic equation, Quarterly
of Applied Mathematics 58 (2000), no. 4, 613–626. MR 1788421 (2001m:35155)
[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. MR 1760415 (2001h:74026)
[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. MR 1788286
(2002d:33008)
[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. MR 1799921 (2001h:74027)
[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. MR 1825657 (2002b:35209)
[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. MR 1907872 (2003c:35098)
[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. MR 1920634 (2003e:35132)
[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,
DOI 10.1016/j.na.2005.01.022. MR 2126615 (2006a:35151)
[49] Bei Hu and David P. Nicholls, Analyticity of Dirichlet-Neumann operators on H¨older and
Lipschitz domains, SIAM Journal on Mathematical Analysis 37 (2005), no. 1, 302–320. MR
2176934 (2006f:35054)
[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, DOI 10.1007/s00205-005-0408-z. MR 2210911 (2006j:35246)
[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, DOI
10.1016/j.jde.2005.09.008. MR 2237681 (2007m:35285)
[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. MR 2213524 (2007b:92012)
[53] Jong-Shenq Guo and Bei Hu, On a two-point free boundary problem, Quarterly of Applied
Mathematics 64 (2006), no. 3, 413-431. MR 2259046 (2008f:35408)
[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, DOI 10.1016/j.jmaa.2006.04.034. MR 2277439
(2008e:35213)
[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, DOI
10.1137/060656292. MR 2318381 (2008f:35047)
[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, DOI 10.1007/s00211-007-0091-0. MR 2328850 (2008j:91070)
[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. MR 2360606 (2009a:35158)
[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, DOI 10.1007/s00205-007-0069-1. MR 2342203 (2009d:35174)
[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. MR 2379480 (2008k:35237)
[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. MR 2415075 (2009d:35353)
[61] Xinfu Chen, Avner Friedman, and Bei Hu, A Parabolic–Hyperbolic Quasilinear System,
Communications in Partial Differential Equations 33 (2008), no. 6, 969–987, DOI
10.1080/03605300701588714. MR 2424385 (2009d:35353)
[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.
MR 2439845 (2009j:35392)
[63] Xinfu Chen and Bei Hu, Viscosity solutions of a discontinuous Hamilton-Jacobi equation,
Interfaces and Free boundaries 10 (2008), no. 3, 339–359. MR 2453135 (2009i:35040)
[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, DOI
10.1016/j.na.2008.04.003. MR 2499746 (2010d:35420)
[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, DOI 10.1016/j.cam.2008.12.018. MR 2532350 (2010j:91218)
[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.
MR 2588232 (2010j:35288)
[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, DOI
10.1007/s00285-009-0290-7. MR 2606518 (2011a:92036)
[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, DOI
/10.3934/dcds.2009.26.767. MR 2556507 (2011b:35247)
[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, DOI /10.1016/j.na.2010.02.036. MR 2639207 (2011c:35582)
[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, DOI
/10.1017/S0308210509000493. MR 2608581 (2011c:35020)
[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, DOI /10.1137/090746239. MR 2592564 (2011a:65164)
[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, DOI
/10.1137/090772630. MR 2684309 (2011g:92046)
[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, DOI /10.3934/dcdss.2011.4.1413. MR 2754165 (2012a:35329)
[74] Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, and Andrew J. Sommese, A threedimensional
steady-state tumor system, Applied Mathematics and Computation 218 (2011),
no. 6, 2661–2669, DOI /10.1016/j.amc.2011.08.006. MR 2838173 (2012h:35346)
[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, DOI
/10.1016/j.nonrwa.2011.08.010. MR 2846874 (2012k:92046)
[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, DOI /10.3934/dcdsb.2012.17.2691. MR 2959247
[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),
[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, DOI /10.3934/dcdsb.2012.17.2001. MR 2924450
[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. MR 2887854
[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, DOI /10.1007/s10915-012-9575-
x. MR 2983099
[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, DOI /10.1016/j.cam.2012.06.001. MR 2966908
[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, DOI /10.1007/s10915-012-9678-4. MR 3071179
[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, DOI/10.1137/110842600. MR 3082491
[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, DOI
/10.1007/s00205-013-0665-1. MR 3182481
[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, DOI /10.1016/j.cam.2013.09.007.
MR 3116634
[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, DOI
/10.1016/j.jmaa.2015.03.040.
社會兼職
2009-至今, International Journal of Stochastic Analysis, 編委
2010- 至今, Discrete and Continuous Dynamical Systems, Series B, 編委
2015-至今, Nonlinear Analysis, Real World Applications, 編委
