Edit Profile Hu, Bei Compute Distance To: Compute Author ID: hu.bei Published as: Hu, B.; Hu, Bei External Links: ORCID Documents Indexed: 126 Publications since 1984, including 2 Books all top 5 Co-Authors 13 single-authored 35 Friedman, Avner 10 Guo, Jong-Shenq 9 Hao, Wenrui 9 Liang, Jin 9 Yin, Hongming 7 Sommese, Andrew John 7 Zhang, Zhengce 6 Hauenstein, Jonathan D. 6 Velázquez, Juan J. L. 4 Chen, Xinfu 4 Huang, Yaodan 4 Jiang, Lishang 3 Liu, Yuan 3 Wu, Yuan 3 Xue, Chuan 3 Zhang, Yongtao 2 Nicholls, David P. 2 Zhang, Jianhua 2 Zhao, Xinyue Evelyn 1 Alber, Mark S. 1 Bazaliy, Borys V. 1 Bazaliy, Yaroslaw B. 1 Bian, Baojun 1 Fontelos López, Marco Antonio 1 Gu, Jiajun 1 Guo, Jong-Sheng 1 Guo, Yungjen Lin 1 Kao, Chiu-Yen 1 Keener, James P. 1 Li, Rui 1 Li, Shuwang 1 Li, Yan 1 Linnemann, Arno 1 Liu, Yong 1 Lu, Junfan 1 Mccoy, Timothy M. 1 Pan, Hongjing 1 Qu, Changzheng 1 Rosenthal, Joachim 1 Song, Lingyu 1 Wang, Chi-Jen 1 Wang, Lihe 1 Wei, Wei 1 Xing, Ruixiang 1 Yang, Xiaoli 1 Yong, Jiongmin 1 Zhang, Hua 1 Zhang, Yajing all top 5 Serials 10 Journal of Differential Equations 10 SIAM Journal on Mathematical Analysis 6 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Analysis and Applications 6 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Computational and Applied Mathematics 4 Quarterly of Applied Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Mathematical Methods in the Applied Sciences 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Real World Applications 2 Indiana University Mathematics Journal 2 Transactions of the American Mathematical Society 2 Journal of Scientific Computing 2 European Journal of Applied Mathematics 2 Differential and Integral Equations 2 Interfaces and Free Boundaries 1 Journal of Mathematical Biology 1 Nonlinearity 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 IEEE Transactions on Automatic Control 1 Journal of Optimization Theory and Applications 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series B 1 Advances in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Scientiarum Naturalium Universitatis Pekinensis 1 Asymptotic Analysis 1 Forum Mathematicum 1 Journal of Partial Differential Equations. Series B 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Partial Differential Equations 1 Journal of Mathematical Sciences. University of Tokyo 1 Taiwanese Journal of Mathematics 1 Mathematical Biosciences and Engineering 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 SIAM Journal on Financial Mathematics all top 5 Fields 95 Partial differential equations (35-XX) 31 Biology and other natural sciences (92-XX) 10 Numerical analysis (65-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 98 Publications have been cited 1,094 times in 722 Documents Cited by ▼ Year ▼ The profile near blowup time for solution of the heat equation with a nonlinear boundary condition. Zbl 0823.35020Hu, Bei; Yin, Hong-Ming 105 1994 Blow-up theories for semilinear parabolic equations. Zbl 1226.35001Hu, Bei 67 2011 Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030Fontelos, Marco A.; Friedman, Avner; Hu, Bei 46 2002 Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039Friedman, Avner; Hu, Bei 45 2006 Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition. Zbl 0820.35062Hu, Bei 44 1994 Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition. Zbl 0852.35072Hu, Bei 39 1996 Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106Friedman, Avner; Hu, Bei 34 2006 Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059Friedman, Avner; Hu, Bei 33 2008 Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107Friedman, Avner; Hu, Bei 32 2007 Semilinear parabolic equations with prescribed energy. Zbl 0856.35063Hu, Bei; Yin, Hong-Ming 31 1995 Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 25 2012 Analyticity of Dirichlet-Neumann operators on Hölder and Lipschitz domains. Zbl 1141.35364Hu, Bei; Nicholls, David P. 23 2005 Blowup rate estimates for the heat equation with a nonlinear gradient source term. Zbl 1159.35009Guo, Jong-Sheng; Hu, Bei 22 2008 Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints. Zbl 0840.49012Hu, Bei; Yong, Jiongmin 21 1995 Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 20 2012 Necessary and sufficient conditions for boundedness of some commutators with weighted Lipschitz functions. Zbl 1257.42023Hu, Bei; Gu, Jiajun 20 2008 Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013Friedman, Avner; Hu, Bei 20 2007 A nonlocal quenching problem arising in a micro-electro mechanical system. Zbl 1189.35328Guo, Jong-Shenq; Hu, Bei; Wang, Chi-Jen 19 2009 Optimal convergence rate of the explicit finite difference scheme for American option valuation. Zbl 1175.91180Hu, Bei; Liang, Jin; Jiang, Lishang 17 2009 Rate estimates of gradient blowup for a heat equation with exponential nonlinearity. Zbl 1189.35033Zhang, Zhengce; Hu, Bei 16 2010 Critical exponents for a system of heat equations coupled in a nonlinear boundary condition. Zbl 0857.35064Hu, Bei; Yin, Hong-Ming 16 1996 A boundary value problem for the Poisson equation with multi-scale oscillating boundary. Zbl 0878.35014Friedman, Avner; Hu, Bei; Liu, Yong 15 1997 Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J. 14 2013 A quasi-variational inequality arising in elastohydrodynamics. Zbl 0718.35101Hu, Bei 14 1990 The Stefan problem for a hyperbolic heat equation. Zbl 0695.35218Friedman, Avner; Hu, Bei 14 1989 A three-dimensional steady-state tumor system. Zbl 1238.92019Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. 13 2011 On the rate of convergence of the binomial tree scheme for American options. Zbl 1210.91147Liang, Jin; Hu, Bei; Jiang, Lishang; Bian, Baojun 12 2007 A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions. Zbl 0994.35124Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. 12 2001 A Stefan problem for a protocell model. Zbl 0933.35199Friedman, Avner; Hu, Bei 12 1999 Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195Friedman, Avner; Hu, Bei; Xue, Chuan 11 2010 Gradient blowup rate for a semilinear parabolic equation. Zbl 1191.35074Zhang, Zhengce; Hu, Bei 11 2010 Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. Zbl 1006.35054Guo, Jong-Shenq; Hu, Bei 11 2002 The profile near quenching time for the solution of a singular semilinear heat equation. Zbl 0903.35007Guo, Jong-Shenq; Hu, Bei 11 1997 On critical exponents for the heat equation with a nonlinear boundary condition. Zbl 0908.35066Hu, Bei; Yin, Hong-Ming 11 1996 A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. 10 2014 On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition. Zbl 0874.35051Hu, Bei; Yin, Hong-Ming 10 1997 Bifurcation for a free-boundary tumor model with angiogenesis. Zbl 1366.92060Huang, Yaodan; Zhang, Zhengce; Hu, Bei 9 2017 On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388Friedman, Avner; Hu, Bei; Xue, Chuan 8 2014 Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006Friedman, Avner; Hu, Bei 8 2007 Linear stability for a free boundary tumor model with a periodic supply of external nutrients. Zbl 1412.35343Huang, Yaodan; Zhang, Zhengce; Hu, Bei 7 2019 The domain of analyticity of Dirichlet-Neumann operators. Zbl 1194.35515Hu, Bei; Nicholls, David P. 7 2010 On a two-point free boundary problem. Zbl 1129.35084Guo, Jong-Shenq; Hu, Bei 7 2006 A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181Friedman, Avner; Hao, Wenrui; Hu, Bei 6 2015 Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012Hao, Wenrui; Hu, Bei; Sommese, Andrew J. 6 2013 A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076Friedman, Avner; Hu, Bei; Xue, Chuan 6 2012 Toward infinite-horizon optimality in nonlinear model predictive control. Zbl 1364.93339Hu, Bei; Linnemann, Arno 6 2002 The evolution of stress intensity factors and the propagation of cracks in elastic media. Zbl 0970.74058Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. 6 2000 Two kinds of \(C^0\)-type elements for buckling analysis of thin-walled curved beams. Zbl 0962.74059Hu, N.; Hu, B.; Yan, B.; Fukunaga, H.; Sekine, H. 6 1999 Quenching problem for a singular semilinear heat equation. Zbl 0896.35066Guo, Jong-Shenq; Hu, Bei 6 1997 Nondegeneracy and single-point-blowup for solution of the heat equation with a nonlinear boundary condition. Zbl 0839.35015Hu, Bei 6 1994 Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei 5 2012 Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024Friedman, Avner; Hu, Bei; Kao, Chiu-Yen 5 2010 Optimal convergence rate of the binomial tree scheme for American options with jump diffusion and their free boundaries. Zbl 1188.91234Liang, Jin; Hu, Bei; Jiang, Lishang 5 2010 Bifurcation for a free boundary problem modeling a protocell. Zbl 1157.35505Zhang, Hua; Qu, Changzheng; Hu, Bei 5 2009 Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019Chen, Xinfu; Hu, Bei 5 2008 The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524Friedman, Avner; Hu, Bei 5 2008 Quenching profile for a quasilinear parabolic equation. Zbl 1050.35006Guo, Jong-Shenq; Hu, Bei 5 2000 Convergence of boundary integral method for a free boundary system. Zbl 1386.35492Hao, Wenrui; Hu, Bei; Li, Shuwang; Song, Lingyu 4 2018 A free boundary problem for corporate bond with credit rating migration. Zbl 1315.91068Hu, Bei; Liang, Jin; Wu, Yuan 4 2015 Review of large scale computing in electromagnetics with fast integral equation solvers. Zbl 1059.78039Chew, W. C.; Song, J. M.; Cui, T. J.; Velamparambil, S.; Hastriter, M. I.; Hu, B. 4 2004 Yukawa textures, neutrino masses and Hořava-Witten M-theory. Zbl 1045.81565Arnowitt, R.; Dutta, B.; Hu, B. 4 2004 Head-media interaction in magnetic recording. Zbl 0894.35114Friedman, Avner; Hu, Bei 4 1997 A non-stationary multi-scale oscillating free boundary for the Laplace and heat equations. Zbl 0884.35175Friedman, Avner; Hu, Bei 4 1997 The DeGiorgi-Nash-Moser type of estimate for parabolic Volterra integrodifferential equations. Zbl 0868.45007Hu, Bei; Yin, Hong-Ming 4 1997 The Stefan problem with kinetic condition at the free boundary. Zbl 0767.35108Friedman, Avner; Hu, Bei 4 1992 The impact of time delay in a tumor model. Zbl 1433.35434Zhao, Xinyue Evelyn; Hu, Bei 3 2020 Asymptotic traveling wave solution for a credit rating migration problem. Zbl 1338.35096Liang, Jin; Wu, Yuan; Hu, Bei 3 2016 Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 3 2011 Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006Friedman, Avner; Hu, Bei 3 2007 Asymptotics for the biharmonic equation near the tip of a crack. Zbl 0930.35056Friedman, A.; Hu, B.; Velazquez, J. J. L. 3 1998 Global solutions and quenching to a class of quasilinear parabolic equations. Zbl 0803.35078Hu, Bei; Yin, Hong-Ming 3 1994 A free boundary problem arising in electrophotography. Zbl 0753.35126Friedman, Avner; Hu, Bei 3 1991 A free boundary problem with two moving boundaries modeling grain hydration. Zbl 1391.35430Pan, Hongjing; Xing, Ruixiang; Hu, Bei 2 2018 Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. Zbl 06824714Guo, Jong-Shenq; Hu, Bei 2 2018 Identification of filter management strategy in fluid power systems under uncertainty: an interval-fuzzy parameter integer nonlinear programming method. Zbl 1211.90323Nie, S. L.; Hu, B.; Li, Y. P.; Hu, Z.; Huang, G. H. 2 2011 A parabolic-hyperbolic quasilinear system. Zbl 1158.35004Chen, Xinfu; Friedman, Avner; Hu, Bei 2 2008 Blow up behavior for a nonlinear parabolic equation of nondivergence form. Zbl 1072.35086Guo, Jong-Shenq; Hu, Bei 2 2005 The evolution of stress intensity factors in the propagation of two-dimensional cracks. Zbl 0969.74056Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. 2 2000 Gobal existence for a class of non-Fickian polymer-penetrant systems. Zbl 0860.35062Hu, Bei; Zhang, Jianhua 2 1996 Retractions of closed manifolds with nonpositive curvature. Zbl 0842.57003Hu, B. 2 1995 A free boundary problem arising in superconductor modeling. Zbl 0851.35137Friedman, Avner; Hu, Bei 2 1992 A free boundary problem arising in electrophotography: Solutions with connected toner region. Zbl 0769.35065Hu, Bei; Wang, Lihe 2 1992 Symmetry-breaking bifurcation for a free-boundary tumor model with time delay. Zbl 1439.35042Zhao, Xinyue Evelyn; Hu, Bei 1 2020 Bifurcation from stability to instability for a free boundary tumor model with angiogenesis. Zbl 1414.35236Huang, Yaodan; Zhang, Zhengce; Hu, Bei 1 2019 Finite groups whose \(n\)-maximal subgroups are modular. Zbl 06935983Huang, J.; Hu, B.; Zheng, X. 1 2018 Convergence rate of free boundary of numerical scheme for American option. Zbl 1410.91479Chen, Xinfu; Hu, Bei; Liang, Jin; Zhang, Yajing 1 2016 The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014Friedman, Avner; Hu, Bei; Keener, James P. 1 2013 Quark, lepton and neutrino masses in Horava-Witten inspired models. Zbl 1226.81156Arnowitt, R.; Dutta, B.; Hu, B. 1 2003 The Fejér average and the mean value of a quantity in a quasiclassical wave packet. Zbl 1059.81065Liu, Q. H.; Wang, X.; Qi, W. H.; Fu, L. P.; Hu, B. 1 2002 On the zeros of quotients of Bessel functions. Zbl 0961.33002Friedman, A.; Hu, B.; Velazquez, J. J. L. 1 2000 Chaos in the \(Z(2)\) gauge model on a generalized Bethe lattice of plaquettes. Zbl 1006.82008Ananikian, N. S.; Dallakian, S. K.; Hu, B.; Izmailian, N. Sh.; Oganessyan, K. A. 1 1999 Optimal control of a chemical vapor deposition reactor. Zbl 0908.90182Friedman, A.; Hu, B. 1 1998 Chaotic properties of the \(Q\)-state Potts model on the Bethe lattice: \(Q<2\). Zbl 0966.82003Ananikian, N. S.; Dallakian, S. K.; Hu, B. 1 1997 Current and future directions in applied mathematics. Proceedings of a symposium, Notre Dame, IN, USA, April 1996. Zbl 0863.00008Alber, Mark (ed.); Hu, Bei (ed.); Rosenthal, Joachim (ed.) 1 1997 A Stefan problem for multidimensional reaction-diffusion systems. Zbl 0859.35143Friedman, Avner; Hu, Bei 1 1996 Determination of the leading coefficient \(a(x)\) in the heat equation \(u_ t=a(x)\Delta u\). Zbl 0783.35081Hu, Bei; Yin, Hong-Ming 1 1993 A nonlinear nonlocal parabolic equation for channel flow. Zbl 0777.35030Hu, Bei 1 1992 A free-boundary problem modeling loop dislocations in crystals. Zbl 0776.73009Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. 1 1992 The impact of time delay in a tumor model. Zbl 1433.35434Zhao, Xinyue Evelyn; Hu, Bei 3 2020 Symmetry-breaking bifurcation for a free-boundary tumor model with time delay. Zbl 1439.35042Zhao, Xinyue Evelyn; Hu, Bei 1 2020 Linear stability for a free boundary tumor model with a periodic supply of external nutrients. Zbl 1412.35343Huang, Yaodan; Zhang, Zhengce; Hu, Bei 7 2019 Bifurcation from stability to instability for a free boundary tumor model with angiogenesis. Zbl 1414.35236Huang, Yaodan; Zhang, Zhengce; Hu, Bei 1 2019 Convergence of boundary integral method for a free boundary system. Zbl 1386.35492Hao, Wenrui; Hu, Bei; Li, Shuwang; Song, Lingyu 4 2018 A free boundary problem with two moving boundaries modeling grain hydration. Zbl 1391.35430Pan, Hongjing; Xing, Ruixiang; Hu, Bei 2 2018 Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. Zbl 06824714Guo, Jong-Shenq; Hu, Bei 2 2018 Finite groups whose \(n\)-maximal subgroups are modular. Zbl 06935983Huang, J.; Hu, B.; Zheng, X. 1 2018 Bifurcation for a free-boundary tumor model with angiogenesis. Zbl 1366.92060Huang, Yaodan; Zhang, Zhengce; Hu, Bei 9 2017 Asymptotic traveling wave solution for a credit rating migration problem. Zbl 1338.35096Liang, Jin; Wu, Yuan; Hu, Bei 3 2016 Convergence rate of free boundary of numerical scheme for American option. Zbl 1410.91479Chen, Xinfu; Hu, Bei; Liang, Jin; Zhang, Yajing 1 2016 A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181Friedman, Avner; Hao, Wenrui; Hu, Bei 6 2015 A free boundary problem for corporate bond with credit rating migration. Zbl 1315.91068Hu, Bei; Liang, Jin; Wu, Yuan 4 2015 A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. 10 2014 On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388Friedman, Avner; Hu, Bei; Xue, Chuan 8 2014 Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J. 14 2013 Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012Hao, Wenrui; Hu, Bei; Sommese, Andrew J. 6 2013 The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014Friedman, Avner; Hu, Bei; Keener, James P. 1 2013 Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 25 2012 Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 20 2012 A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076Friedman, Avner; Hu, Bei; Xue, Chuan 6 2012 Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei 5 2012 Blow-up theories for semilinear parabolic equations. Zbl 1226.35001Hu, Bei 67 2011 A three-dimensional steady-state tumor system. Zbl 1238.92019Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. 13 2011 Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao 3 2011 Identification of filter management strategy in fluid power systems under uncertainty: an interval-fuzzy parameter integer nonlinear programming method. Zbl 1211.90323Nie, S. L.; Hu, B.; Li, Y. P.; Hu, Z.; Huang, G. H. 2 2011 Rate estimates of gradient blowup for a heat equation with exponential nonlinearity. Zbl 1189.35033Zhang, Zhengce; Hu, Bei 16 2010 Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195Friedman, Avner; Hu, Bei; Xue, Chuan 11 2010 Gradient blowup rate for a semilinear parabolic equation. Zbl 1191.35074Zhang, Zhengce; Hu, Bei 11 2010 The domain of analyticity of Dirichlet-Neumann operators. Zbl 1194.35515Hu, Bei; Nicholls, David P. 7 2010 Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024Friedman, Avner; Hu, Bei; Kao, Chiu-Yen 5 2010 Optimal convergence rate of the binomial tree scheme for American options with jump diffusion and their free boundaries. Zbl 1188.91234Liang, Jin; Hu, Bei; Jiang, Lishang 5 2010 A nonlocal quenching problem arising in a micro-electro mechanical system. Zbl 1189.35328Guo, Jong-Shenq; Hu, Bei; Wang, Chi-Jen 19 2009 Optimal convergence rate of the explicit finite difference scheme for American option valuation. Zbl 1175.91180Hu, Bei; Liang, Jin; Jiang, Lishang 17 2009 Bifurcation for a free boundary problem modeling a protocell. Zbl 1157.35505Zhang, Hua; Qu, Changzheng; Hu, Bei 5 2009 Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059Friedman, Avner; Hu, Bei 33 2008 Blowup rate estimates for the heat equation with a nonlinear gradient source term. Zbl 1159.35009Guo, Jong-Sheng; Hu, Bei 22 2008 Necessary and sufficient conditions for boundedness of some commutators with weighted Lipschitz functions. Zbl 1257.42023Hu, Bei; Gu, Jiajun 20 2008 Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019Chen, Xinfu; Hu, Bei 5 2008 The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524Friedman, Avner; Hu, Bei 5 2008 A parabolic-hyperbolic quasilinear system. Zbl 1158.35004Chen, Xinfu; Friedman, Avner; Hu, Bei 2 2008 Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107Friedman, Avner; Hu, Bei 32 2007 Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013Friedman, Avner; Hu, Bei 20 2007 On the rate of convergence of the binomial tree scheme for American options. Zbl 1210.91147Liang, Jin; Hu, Bei; Jiang, Lishang; Bian, Baojun 12 2007 Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006Friedman, Avner; Hu, Bei 8 2007 Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006Friedman, Avner; Hu, Bei 3 2007 Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039Friedman, Avner; Hu, Bei 45 2006 Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106Friedman, Avner; Hu, Bei 34 2006 On a two-point free boundary problem. Zbl 1129.35084Guo, Jong-Shenq; Hu, Bei 7 2006 Analyticity of Dirichlet-Neumann operators on Hölder and Lipschitz domains. Zbl 1141.35364Hu, Bei; Nicholls, David P. 23 2005 Blow up behavior for a nonlinear parabolic equation of nondivergence form. Zbl 1072.35086Guo, Jong-Shenq; Hu, Bei 2 2005 Review of large scale computing in electromagnetics with fast integral equation solvers. Zbl 1059.78039Chew, W. C.; Song, J. M.; Cui, T. J.; Velamparambil, S.; Hastriter, M. I.; Hu, B. 4 2004 Yukawa textures, neutrino masses and Hořava-Witten M-theory. Zbl 1045.81565Arnowitt, R.; Dutta, B.; Hu, B. 4 2004 Quark, lepton and neutrino masses in Horava-Witten inspired models. Zbl 1226.81156Arnowitt, R.; Dutta, B.; Hu, B. 1 2003 Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030Fontelos, Marco A.; Friedman, Avner; Hu, Bei 46 2002 Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. Zbl 1006.35054Guo, Jong-Shenq; Hu, Bei 11 2002 Toward infinite-horizon optimality in nonlinear model predictive control. Zbl 1364.93339Hu, Bei; Linnemann, Arno 6 2002 The Fejér average and the mean value of a quantity in a quasiclassical wave packet. Zbl 1059.81065Liu, Q. H.; Wang, X.; Qi, W. H.; Fu, L. P.; Hu, B. 1 2002 A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions. Zbl 0994.35124Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. 12 2001 The evolution of stress intensity factors and the propagation of cracks in elastic media. Zbl 0970.74058Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. 6 2000 Quenching profile for a quasilinear parabolic equation. Zbl 1050.35006Guo, Jong-Shenq; Hu, Bei 5 2000 The evolution of stress intensity factors in the propagation of two-dimensional cracks. Zbl 0969.74056Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. 2 2000 On the zeros of quotients of Bessel functions. Zbl 0961.33002Friedman, A.; Hu, B.; Velazquez, J. J. L. 1 2000 A Stefan problem for a protocell model. Zbl 0933.35199Friedman, Avner; Hu, Bei 12 1999 Two kinds of \(C^0\)-type elements for buckling analysis of thin-walled curved beams. Zbl 0962.74059Hu, N.; Hu, B.; Yan, B.; Fukunaga, H.; Sekine, H. 6 1999 Chaos in the \(Z(2)\) gauge model on a generalized Bethe lattice of plaquettes. Zbl 1006.82008Ananikian, N. S.; Dallakian, S. K.; Hu, B.; Izmailian, N. Sh.; Oganessyan, K. A. 1 1999 Asymptotics for the biharmonic equation near the tip of a crack. Zbl 0930.35056Friedman, A.; Hu, B.; Velazquez, J. J. L. 3 1998 Optimal control of a chemical vapor deposition reactor. Zbl 0908.90182Friedman, A.; Hu, B. 1 1998 A boundary value problem for the Poisson equation with multi-scale oscillating boundary. Zbl 0878.35014Friedman, Avner; Hu, Bei; Liu, Yong 15 1997 The profile near quenching time for the solution of a singular semilinear heat equation. Zbl 0903.35007Guo, Jong-Shenq; Hu, Bei 11 1997 On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition. Zbl 0874.35051Hu, Bei; Yin, Hong-Ming 10 1997 Quenching problem for a singular semilinear heat equation. Zbl 0896.35066Guo, Jong-Shenq; Hu, Bei 6 1997 Head-media interaction in magnetic recording. Zbl 0894.35114Friedman, Avner; Hu, Bei 4 1997 A non-stationary multi-scale oscillating free boundary for the Laplace and heat equations. Zbl 0884.35175Friedman, Avner; Hu, Bei 4 1997 The DeGiorgi-Nash-Moser type of estimate for parabolic Volterra integrodifferential equations. Zbl 0868.45007Hu, Bei; Yin, Hong-Ming 4 1997 Chaotic properties of the \(Q\)-state Potts model on the Bethe lattice: \(Q<2\). Zbl 0966.82003Ananikian, N. S.; Dallakian, S. K.; Hu, B. 1 1997 Current and future directions in applied mathematics. Proceedings of a symposium, Notre Dame, IN, USA, April 1996. Zbl 0863.00008Alber, Mark (ed.); Hu, Bei (ed.); Rosenthal, Joachim (ed.) 1 1997 Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition. Zbl 0852.35072Hu, Bei 39 1996 Critical exponents for a system of heat equations coupled in a nonlinear boundary condition. Zbl 0857.35064Hu, Bei; Yin, Hong-Ming 16 1996 On critical exponents for the heat equation with a nonlinear boundary condition. Zbl 0908.35066Hu, Bei; Yin, Hong-Ming 11 1996 Gobal existence for a class of non-Fickian polymer-penetrant systems. Zbl 0860.35062Hu, Bei; Zhang, Jianhua 2 1996 A Stefan problem for multidimensional reaction-diffusion systems. Zbl 0859.35143Friedman, Avner; Hu, Bei 1 1996 Semilinear parabolic equations with prescribed energy. Zbl 0856.35063Hu, Bei; Yin, Hong-Ming 31 1995 Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints. Zbl 0840.49012Hu, Bei; Yong, Jiongmin 21 1995 Retractions of closed manifolds with nonpositive curvature. Zbl 0842.57003Hu, B. 2 1995 The profile near blowup time for solution of the heat equation with a nonlinear boundary condition. Zbl 0823.35020Hu, Bei; Yin, Hong-Ming 105 1994 Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition. Zbl 0820.35062Hu, Bei 44 1994 Nondegeneracy and single-point-blowup for solution of the heat equation with a nonlinear boundary condition. Zbl 0839.35015Hu, Bei 6 1994 Global solutions and quenching to a class of quasilinear parabolic equations. Zbl 0803.35078Hu, Bei; Yin, Hong-Ming 3 1994 Determination of the leading coefficient \(a(x)\) in the heat equation \(u_ t=a(x)\Delta u\). Zbl 0783.35081Hu, Bei; Yin, Hong-Ming 1 1993 The Stefan problem with kinetic condition at the free boundary. Zbl 0767.35108Friedman, Avner; Hu, Bei 4 1992 A free boundary problem arising in superconductor modeling. Zbl 0851.35137Friedman, Avner; Hu, Bei 2 1992 A free boundary problem arising in electrophotography: Solutions with connected toner region. Zbl 0769.35065Hu, Bei; Wang, Lihe 2 1992 A nonlinear nonlocal parabolic equation for channel flow. Zbl 0777.35030Hu, Bei 1 1992 A free-boundary problem modeling loop dislocations in crystals. Zbl 0776.73009Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. 1 1992 A free boundary problem arising in electrophotography. Zbl 0753.35126Friedman, Avner; Hu, Bei 3 1991 A quasi-variational inequality arising in elastohydrodynamics. Zbl 0718.35101Hu, Bei 14 1990 The Stefan problem for a hyperbolic heat equation. Zbl 0695.35218Friedman, Avner; Hu, Bei 14 1989 all cited Publications top 5 cited Publications all top 5 Cited by 872 Authors 37 Hu, Bei 23 Zheng, Sining 20 Zhang, Zhengce 19 Friedman, Avner 18 Liu, Bingchen 17 Cui, Shangbin 17 Hao, Wenrui 17 Li, Fengjie 17 Nicholls, David P. 15 Rossi, Julio Daniel 13 Guo, Jong-Shenq 13 Wang, Mingxin 13 Wu, Junde 12 Mu, Chunlai 12 Tao, Youshan 11 Song, Xianfa 11 Yin, Jingxue 10 Zhou, Fujun 9 Lin, Zhigui 8 Escher, Joachim 8 Winkler, Michael 7 Hauenstein, Jonathan D. 7 Liang, Jin 7 Sommese, Andrew John 7 Souplet, Philippe 7 Xie, Chunhong 6 Cai, Jingjing 6 Fang, Zhongbo 6 Lin, Ping 6 Lou, Bendong 6 Quirós Gracián, Fernando 6 Tello, José Ignacio 6 Vázquez Cendón, Carlos 5 Bayada, Guy 5 Ding, Juntang 5 Dong, Mengzhen 5 Gladkov, Alexander L’vovich 5 Ji, Ruihong 5 Li, Shuwang 5 Liu, Lanzhe 5 Wang, Xiaoliu 5 Wang, Zejia 5 Wang, Zhian 5 Xing, Ruixiang 5 Zhao, Kun 5 Zhou, Jun 4 Bian, Shen 4 Choi, Kyudong 4 Deng, Keng 4 Fernández Bonder, Julián 4 Fiedler, Bernold 4 Fila, Marek 4 Gao, Wenjie 4 Han, Yuzhu 4 Jiang, Zhaoxin 4 Jin, Chunhua 4 Kavallaris, Nikos I. 4 Lacey, Andrew A. 4 Leduc, Guillaume 4 Li, Huiling 4 Ma, Lingwei 4 Qu, Chengyuan 4 Quittner, Pavol 4 Wei, Xuemei 4 Wu, Yuan 4 Zhang, Yongtao 4 Zheng, Jiayue 4 Zhuang, Yuehong 3 Álamo, Teodoro 3 Arakelyan, Avetik 3 Attouchi, Amal 3 Barkhudaryan, Rafayel H. 3 Camacho, Eduardo Fernández 3 Chechkin, Gregory A. 3 Chen, Li 3 Chen, Qihong 3 Chen, Xinfu 3 El Alaoui Talibi, Mohamed 3 Ferreira, Raúl 3 Gandolfi, Alberto 3 Harada, Junichi 3 Huang, Yaodan 3 Kloeden, Peter Eris 3 Krause, Axel 3 Lam, King-Yeung 3 Laurençot, Philippe 3 Levine, Howard Allen 3 Limon, Daniel 3 Lowengrub, John Samuel 3 Lv, Xiaoshuang 3 Morales-Rodrigo, Cristian 3 Nikolopoulos, Christos V. 3 Pan, Hongjing 3 Parand, Kourosh 3 Perthame, Benoît 3 Qiao, Lan 3 Rad, Jamal Amani 3 Rocha, Carlos 3 Shi, Junping 3 Tzanetis, Dimitrios E. ...and 772 more Authors all top 5 Cited in 197 Serials 63 Journal of Mathematical Analysis and Applications 63 Journal of Differential Equations 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Nonlinear Analysis. Real World Applications 18 Applied Mathematics Letters 17 Applicable Analysis 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Discrete and Continuous Dynamical Systems. Series B 14 Applied Mathematics and Computation 13 Computers & Mathematics with Applications 13 Journal of Computational and Applied Mathematics 13 Discrete and Continuous Dynamical Systems 11 Archive for Rational Mechanics and Analysis 11 Calculus of Variations and Partial Differential Equations 10 Journal of Scientific Computing 10 Journal of Inequalities and Applications 9 Journal of Computational Physics 9 Journal of Mathematical Biology 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Mathematical Methods in the Applied Sciences 7 Communications in Partial Differential Equations 6 Rocky Mountain Journal of Mathematics 6 Mathematische Annalen 6 Transactions of the American Mathematical Society 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Applied Mathematics. Series B (English Edition) 6 Abstract and Applied Analysis 6 Acta Mathematica Sinica. English Series 6 Boundary Value Problems 6 Discrete and Continuous Dynamical Systems. Series S 5 Bulletin of Mathematical Biology 5 Archiv der Mathematik 5 Acta Applicandae Mathematicae 5 European Journal of Applied Mathematics 5 Communications on Pure and Applied Analysis 4 Nonlinearity 4 Journal of Functional Analysis 4 Journal of Optimization Theory and Applications 4 Quarterly of Applied Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Communications in Nonlinear Science and Numerical Simulation 4 Communications in Contemporary Mathematics 4 Mathematical Control and Related Fields 4 Nonlinear Analysis. Theory, Methods & Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Nuclear Physics. B 3 Automatica 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 Applied Mathematical Modelling 3 Journal of Dynamics and Differential Equations 3 SIAM Journal on Scientific Computing 3 NoDEA. Nonlinear Differential Equations and Applications 3 Mathematical Problems in Engineering 3 Journal of Dynamical and Control Systems 3 Differential Equations 2 Bulletin of the Australian Mathematical Society 2 International Journal of Systems Science 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Duke Mathematical Journal 2 Mathematische Nachrichten 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 SIAM Journal on Control and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Stochastic Analysis and Applications 2 Bulletin of the Iranian Mathematical Society 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Symbolic Computation 2 Mathematical and Computer Modelling 2 Science in China. Series A 2 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Sciences (New York) 2 Complexity 2 Engineering Analysis with Boundary Elements 2 Engineering Computations 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 International Journal of Fracture 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Networks and Heterogeneous Media 2 São Paulo Journal of Mathematical Sciences 2 International Journal of Differential Equations 2 Science China. Mathematics 2 Journal of Theoretical Biology 2 Journal of Function Spaces 1 Communications in Mathematical Physics 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences 1 Mathematical Notes ...and 97 more Serials all top 5 Cited in 44 Fields 563 Partial differential equations (35-XX) 134 Biology and other natural sciences (92-XX) 71 Numerical analysis (65-XX) 57 Fluid mechanics (76-XX) 49 Mechanics of deformable solids (74-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 26 Ordinary differential equations (34-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Systems theory; control (93-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Probability theory and stochastic processes (60-XX) 16 Functional analysis (46-XX) 15 Operator theory (47-XX) 12 Integral equations (45-XX) 11 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Differential geometry (53-XX) 6 Statistics (62-XX) 5 Potential theory (31-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 3 Combinatorics (05-XX) 3 Manifolds and cell complexes (57-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Citations by Year