# zbMATH — the first resource for mathematics

## Hu, Bei

Compute Distance To:
 Author ID: hu.bei Published as: Hu, B.; Hu, Bei External Links: ORCID
 Documents Indexed: 126 Publications since 1984, including 2 Books
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#### 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
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#### 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
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#### 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)

#### 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 0823.35020
Hu, Bei; Yin, Hong-Ming
1994
Blow-up theories for semilinear parabolic equations. Zbl 1226.35001
Hu, Bei
2011
Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030
Fontelos, Marco A.; Friedman, Avner; Hu, Bei
2002
Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039
Friedman, Avner; Hu, Bei
2006
Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition. Zbl 0820.35062
Hu, Bei
1994
Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition. Zbl 0852.35072
Hu, Bei
1996
Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106
Friedman, Avner; Hu, Bei
2006
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059
Friedman, Avner; Hu, Bei
2008
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107
Friedman, Avner; Hu, Bei
2007
Semilinear parabolic equations with prescribed energy. Zbl 0856.35063
Hu, Bei; Yin, Hong-Ming
1995
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2012
Analyticity of Dirichlet-Neumann operators on Hölder and Lipschitz domains. Zbl 1141.35364
Hu, Bei; Nicholls, David P.
2005
Blowup rate estimates for the heat equation with a nonlinear gradient source term. Zbl 1159.35009
Guo, Jong-Sheng; Hu, Bei
2008
Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints. Zbl 0840.49012
Hu, Bei; Yong, Jiongmin
1995
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2012
Necessary and sufficient conditions for boundedness of some commutators with weighted Lipschitz functions. Zbl 1257.42023
Hu, Bei; Gu, Jiajun
2008
Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013
Friedman, Avner; Hu, Bei
2007
A nonlocal quenching problem arising in a micro-electro mechanical system. Zbl 1189.35328
Guo, Jong-Shenq; Hu, Bei; Wang, Chi-Jen
2009
Optimal convergence rate of the explicit finite difference scheme for American option valuation. Zbl 1175.91180
Hu, Bei; Liang, Jin; Jiang, Lishang
2009
Rate estimates of gradient blowup for a heat equation with exponential nonlinearity. Zbl 1189.35033
Zhang, Zhengce; Hu, Bei
2010
Critical exponents for a system of heat equations coupled in a nonlinear boundary condition. Zbl 0857.35064
Hu, Bei; Yin, Hong-Ming
1996
A boundary value problem for the Poisson equation with multi-scale oscillating boundary. Zbl 0878.35014
Friedman, Avner; Hu, Bei; Liu, Yong
1997
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J.
2013
A quasi-variational inequality arising in elastohydrodynamics. Zbl 0718.35101
Hu, Bei
1990
The Stefan problem for a hyperbolic heat equation. Zbl 0695.35218
Friedman, Avner; Hu, Bei
1989
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
2011
On the rate of convergence of the binomial tree scheme for American options. Zbl 1210.91147
Liang, Jin; Hu, Bei; Jiang, Lishang; Bian, Baojun
2007
A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions. Zbl 0994.35124
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
2001
A Stefan problem for a protocell model. Zbl 0933.35199
Friedman, Avner; Hu, Bei
1999
Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195
Friedman, Avner; Hu, Bei; Xue, Chuan
2010
Gradient blowup rate for a semilinear parabolic equation. Zbl 1191.35074
Zhang, Zhengce; Hu, Bei
2010
Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. Zbl 1006.35054
Guo, Jong-Shenq; Hu, Bei
2002
The profile near quenching time for the solution of a singular semilinear heat equation. Zbl 0903.35007
Guo, Jong-Shenq; Hu, Bei
1997
On critical exponents for the heat equation with a nonlinear boundary condition. Zbl 0908.35066
Hu, Bei; Yin, Hong-Ming
1996
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
2014
On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition. Zbl 0874.35051
Hu, Bei; Yin, Hong-Ming
1997
Bifurcation for a free-boundary tumor model with angiogenesis. Zbl 1366.92060
Huang, Yaodan; Zhang, Zhengce; Hu, Bei
2017
On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388
Friedman, Avner; Hu, Bei; Xue, Chuan
2014
Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006
Friedman, Avner; Hu, Bei
2007
Linear stability for a free boundary tumor model with a periodic supply of external nutrients. Zbl 1412.35343
Huang, Yaodan; Zhang, Zhengce; Hu, Bei
2019
The domain of analyticity of Dirichlet-Neumann operators. Zbl 1194.35515
Hu, Bei; Nicholls, David P.
2010
On a two-point free boundary problem. Zbl 1129.35084
Guo, Jong-Shenq; Hu, Bei
2006
A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181
Friedman, Avner; Hao, Wenrui; Hu, Bei
2015
Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012
Hao, Wenrui; Hu, Bei; Sommese, Andrew J.
2013
A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076
Friedman, Avner; Hu, Bei; Xue, Chuan
2012
Toward infinite-horizon optimality in nonlinear model predictive control. Zbl 1364.93339
Hu, Bei; Linnemann, Arno
2002
The evolution of stress intensity factors and the propagation of cracks in elastic media. Zbl 0970.74058
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
2000
Two kinds of $$C^0$$-type elements for buckling analysis of thin-walled curved beams. Zbl 0962.74059
Hu, N.; Hu, B.; Yan, B.; Fukunaga, H.; Sekine, H.
1999
Quenching problem for a singular semilinear heat equation. Zbl 0896.35066
Guo, Jong-Shenq; Hu, Bei
1997
Nondegeneracy and single-point-blowup for solution of the heat equation with a nonlinear boundary condition. Zbl 0839.35015
Hu, Bei
1994
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
2012
Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024
Friedman, Avner; Hu, Bei; Kao, Chiu-Yen
2010
Optimal convergence rate of the binomial tree scheme for American options with jump diffusion and their free boundaries. Zbl 1188.91234
Liang, Jin; Hu, Bei; Jiang, Lishang
2010
Bifurcation for a free boundary problem modeling a protocell. Zbl 1157.35505
Zhang, Hua; Qu, Changzheng; Hu, Bei
2009
Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019
Chen, Xinfu; Hu, Bei
2008
The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524
Friedman, Avner; Hu, Bei
2008
Quenching profile for a quasilinear parabolic equation. Zbl 1050.35006
Guo, Jong-Shenq; Hu, Bei
2000
Convergence of boundary integral method for a free boundary system. Zbl 1386.35492
Hao, Wenrui; Hu, Bei; Li, Shuwang; Song, Lingyu
2018
A free boundary problem for corporate bond with credit rating migration. Zbl 1315.91068
Hu, Bei; Liang, Jin; Wu, Yuan
2015
Review of large scale computing in electromagnetics with fast integral equation solvers. Zbl 1059.78039
Chew, W. C.; Song, J. M.; Cui, T. J.; Velamparambil, S.; Hastriter, M. I.; Hu, B.
2004
Yukawa textures, neutrino masses and Hořava-Witten M-theory. Zbl 1045.81565
Arnowitt, R.; Dutta, B.; Hu, B.
2004
Head-media interaction in magnetic recording. Zbl 0894.35114
Friedman, Avner; Hu, Bei
1997
A non-stationary multi-scale oscillating free boundary for the Laplace and heat equations. Zbl 0884.35175
Friedman, Avner; Hu, Bei
1997
The DeGiorgi-Nash-Moser type of estimate for parabolic Volterra integrodifferential equations. Zbl 0868.45007
Hu, Bei; Yin, Hong-Ming
1997
The Stefan problem with kinetic condition at the free boundary. Zbl 0767.35108
Friedman, Avner; Hu, Bei
1992
The impact of time delay in a tumor model. Zbl 1433.35434
Zhao, Xinyue Evelyn; Hu, Bei
2020
Asymptotic traveling wave solution for a credit rating migration problem. Zbl 1338.35096
Liang, Jin; Wu, Yuan; Hu, Bei
2016
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2011
Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006
Friedman, Avner; Hu, Bei
2007
Asymptotics for the biharmonic equation near the tip of a crack. Zbl 0930.35056
Friedman, A.; Hu, B.; Velazquez, J. J. L.
1998
Global solutions and quenching to a class of quasilinear parabolic equations. Zbl 0803.35078
Hu, Bei; Yin, Hong-Ming
1994
A free boundary problem arising in electrophotography. Zbl 0753.35126
Friedman, Avner; Hu, Bei
1991
A free boundary problem with two moving boundaries modeling grain hydration. Zbl 1391.35430
Pan, Hongjing; Xing, Ruixiang; Hu, Bei
2018
Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. Zbl 06824714
Guo, Jong-Shenq; Hu, Bei
2018
Identification of filter management strategy in fluid power systems under uncertainty: an interval-fuzzy parameter integer nonlinear programming method. Zbl 1211.90323
Nie, S. L.; Hu, B.; Li, Y. P.; Hu, Z.; Huang, G. H.
2011
A parabolic-hyperbolic quasilinear system. Zbl 1158.35004
Chen, Xinfu; Friedman, Avner; Hu, Bei
2008
Blow up behavior for a nonlinear parabolic equation of nondivergence form. Zbl 1072.35086
Guo, Jong-Shenq; Hu, Bei
2005
The evolution of stress intensity factors in the propagation of two-dimensional cracks. Zbl 0969.74056
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
2000
Gobal existence for a class of non-Fickian polymer-penetrant systems. Zbl 0860.35062
Hu, Bei; Zhang, Jianhua
1996
Retractions of closed manifolds with nonpositive curvature. Zbl 0842.57003
Hu, B.
1995
A free boundary problem arising in superconductor modeling. Zbl 0851.35137
Friedman, Avner; Hu, Bei
1992
A free boundary problem arising in electrophotography: Solutions with connected toner region. Zbl 0769.35065
Hu, Bei; Wang, Lihe
1992
Symmetry-breaking bifurcation for a free-boundary tumor model with time delay. Zbl 1439.35042
Zhao, Xinyue Evelyn; Hu, Bei
2020
Bifurcation from stability to instability for a free boundary tumor model with angiogenesis. Zbl 1414.35236
Huang, Yaodan; Zhang, Zhengce; Hu, Bei
2019
Finite groups whose $$n$$-maximal subgroups are modular. Zbl 06935983
Huang, J.; Hu, B.; Zheng, X.
2018
Convergence rate of free boundary of numerical scheme for American option. Zbl 1410.91479
Chen, Xinfu; Hu, Bei; Liang, Jin; Zhang, Yajing
2016
The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014
Friedman, Avner; Hu, Bei; Keener, James P.
2013
Quark, lepton and neutrino masses in Horava-Witten inspired models. Zbl 1226.81156
Arnowitt, R.; Dutta, B.; Hu, B.
2003
The Fejér average and the mean value of a quantity in a quasiclassical wave packet. Zbl 1059.81065
Liu, Q. H.; Wang, X.; Qi, W. H.; Fu, L. P.; Hu, B.
2002
On the zeros of quotients of Bessel functions. Zbl 0961.33002
Friedman, A.; Hu, B.; Velazquez, J. J. L.
2000
Chaos in the $$Z(2)$$ gauge model on a generalized Bethe lattice of plaquettes. Zbl 1006.82008
Ananikian, N. S.; Dallakian, S. K.; Hu, B.; Izmailian, N. Sh.; Oganessyan, K. A.
1999
Optimal control of a chemical vapor deposition reactor. Zbl 0908.90182
Friedman, A.; Hu, B.
1998
Chaotic properties of the $$Q$$-state Potts model on the Bethe lattice: $$Q<2$$. Zbl 0966.82003
Ananikian, N. S.; Dallakian, S. K.; Hu, B.
1997
Current and future directions in applied mathematics. Proceedings of a symposium, Notre Dame, IN, USA, April 1996. Zbl 0863.00008
Alber, Mark (ed.); Hu, Bei (ed.); Rosenthal, Joachim (ed.)
1997
A Stefan problem for multidimensional reaction-diffusion systems. Zbl 0859.35143
Friedman, Avner; Hu, Bei
1996
Determination of the leading coefficient $$a(x)$$ in the heat equation $$u_ t=a(x)\Delta u$$. Zbl 0783.35081
Hu, Bei; Yin, Hong-Ming
1993
A nonlinear nonlocal parabolic equation for channel flow. Zbl 0777.35030
Hu, Bei
1992
A free-boundary problem modeling loop dislocations in crystals. Zbl 0776.73009
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
1992
The impact of time delay in a tumor model. Zbl 1433.35434
Zhao, Xinyue Evelyn; Hu, Bei
2020
Symmetry-breaking bifurcation for a free-boundary tumor model with time delay. Zbl 1439.35042
Zhao, Xinyue Evelyn; Hu, Bei
2020
Linear stability for a free boundary tumor model with a periodic supply of external nutrients. Zbl 1412.35343
Huang, Yaodan; Zhang, Zhengce; Hu, Bei
2019
Bifurcation from stability to instability for a free boundary tumor model with angiogenesis. Zbl 1414.35236
Huang, Yaodan; Zhang, Zhengce; Hu, Bei
2019
Convergence of boundary integral method for a free boundary system. Zbl 1386.35492
Hao, Wenrui; Hu, Bei; Li, Shuwang; Song, Lingyu
2018
A free boundary problem with two moving boundaries modeling grain hydration. Zbl 1391.35430
Pan, Hongjing; Xing, Ruixiang; Hu, Bei
2018
Quenching rate for a nonlocal problem arising in the micro-electro mechanical system. Zbl 06824714
Guo, Jong-Shenq; Hu, Bei
2018
Finite groups whose $$n$$-maximal subgroups are modular. Zbl 06935983
Huang, J.; Hu, B.; Zheng, X.
2018
Bifurcation for a free-boundary tumor model with angiogenesis. Zbl 1366.92060
Huang, Yaodan; Zhang, Zhengce; Hu, Bei
2017
Asymptotic traveling wave solution for a credit rating migration problem. Zbl 1338.35096
Liang, Jin; Wu, Yuan; Hu, Bei
2016
Convergence rate of free boundary of numerical scheme for American option. Zbl 1410.91479
Chen, Xinfu; Hu, Bei; Liang, Jin; Zhang, Yajing
2016
A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181
Friedman, Avner; Hao, Wenrui; Hu, Bei
2015
A free boundary problem for corporate bond with credit rating migration. Zbl 1315.91068
Hu, Bei; Liang, Jin; Wu, Yuan
2015
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
2014
On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388
Friedman, Avner; Hu, Bei; Xue, Chuan
2014
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J.
2013
Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012
Hao, Wenrui; Hu, Bei; Sommese, Andrew J.
2013
The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014
Friedman, Avner; Hu, Bei; Keener, James P.
2013
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2012
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2012
A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076
Friedman, Avner; Hu, Bei; Xue, Chuan
2012
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
2012
Blow-up theories for semilinear parabolic equations. Zbl 1226.35001
Hu, Bei
2011
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
2011
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2011
Identification of filter management strategy in fluid power systems under uncertainty: an interval-fuzzy parameter integer nonlinear programming method. Zbl 1211.90323
Nie, S. L.; Hu, B.; Li, Y. P.; Hu, Z.; Huang, G. H.
2011
Rate estimates of gradient blowup for a heat equation with exponential nonlinearity. Zbl 1189.35033
Zhang, Zhengce; Hu, Bei
2010
Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195
Friedman, Avner; Hu, Bei; Xue, Chuan
2010
Gradient blowup rate for a semilinear parabolic equation. Zbl 1191.35074
Zhang, Zhengce; Hu, Bei
2010
The domain of analyticity of Dirichlet-Neumann operators. Zbl 1194.35515
Hu, Bei; Nicholls, David P.
2010
Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024
Friedman, Avner; Hu, Bei; Kao, Chiu-Yen
2010
Optimal convergence rate of the binomial tree scheme for American options with jump diffusion and their free boundaries. Zbl 1188.91234
Liang, Jin; Hu, Bei; Jiang, Lishang
2010
A nonlocal quenching problem arising in a micro-electro mechanical system. Zbl 1189.35328
Guo, Jong-Shenq; Hu, Bei; Wang, Chi-Jen
2009
Optimal convergence rate of the explicit finite difference scheme for American option valuation. Zbl 1175.91180
Hu, Bei; Liang, Jin; Jiang, Lishang
2009
Bifurcation for a free boundary problem modeling a protocell. Zbl 1157.35505
Zhang, Hua; Qu, Changzheng; Hu, Bei
2009
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059
Friedman, Avner; Hu, Bei
2008
Blowup rate estimates for the heat equation with a nonlinear gradient source term. Zbl 1159.35009
Guo, Jong-Sheng; Hu, Bei
2008
Necessary and sufficient conditions for boundedness of some commutators with weighted Lipschitz functions. Zbl 1257.42023
Hu, Bei; Gu, Jiajun
2008
Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019
Chen, Xinfu; Hu, Bei
2008
The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524
Friedman, Avner; Hu, Bei
2008
A parabolic-hyperbolic quasilinear system. Zbl 1158.35004
Chen, Xinfu; Friedman, Avner; Hu, Bei
2008
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107
Friedman, Avner; Hu, Bei
2007
Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013
Friedman, Avner; Hu, Bei
2007
On the rate of convergence of the binomial tree scheme for American options. Zbl 1210.91147
Liang, Jin; Hu, Bei; Jiang, Lishang; Bian, Baojun
2007
Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006
Friedman, Avner; Hu, Bei
2007
Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006
Friedman, Avner; Hu, Bei
2007
Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039
Friedman, Avner; Hu, Bei
2006
Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106
Friedman, Avner; Hu, Bei
2006
On a two-point free boundary problem. Zbl 1129.35084
Guo, Jong-Shenq; Hu, Bei
2006
Analyticity of Dirichlet-Neumann operators on Hölder and Lipschitz domains. Zbl 1141.35364
Hu, Bei; Nicholls, David P.
2005
Blow up behavior for a nonlinear parabolic equation of nondivergence form. Zbl 1072.35086
Guo, Jong-Shenq; Hu, Bei
2005
Review of large scale computing in electromagnetics with fast integral equation solvers. Zbl 1059.78039
Chew, W. C.; Song, J. M.; Cui, T. J.; Velamparambil, S.; Hastriter, M. I.; Hu, B.
2004
Yukawa textures, neutrino masses and Hořava-Witten M-theory. Zbl 1045.81565
Arnowitt, R.; Dutta, B.; Hu, B.
2004
Quark, lepton and neutrino masses in Horava-Witten inspired models. Zbl 1226.81156
Arnowitt, R.; Dutta, B.; Hu, B.
2003
Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030
Fontelos, Marco A.; Friedman, Avner; Hu, Bei
2002
Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. Zbl 1006.35054
Guo, Jong-Shenq; Hu, Bei
2002
Toward infinite-horizon optimality in nonlinear model predictive control. Zbl 1364.93339
Hu, Bei; Linnemann, Arno
2002
The Fejér average and the mean value of a quantity in a quasiclassical wave packet. Zbl 1059.81065
Liu, Q. H.; Wang, X.; Qi, W. H.; Fu, L. P.; Hu, B.
2002
A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions. Zbl 0994.35124
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
2001
The evolution of stress intensity factors and the propagation of cracks in elastic media. Zbl 0970.74058
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
2000
Quenching profile for a quasilinear parabolic equation. Zbl 1050.35006
Guo, Jong-Shenq; Hu, Bei
2000
The evolution of stress intensity factors in the propagation of two-dimensional cracks. Zbl 0969.74056
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
2000
On the zeros of quotients of Bessel functions. Zbl 0961.33002
Friedman, A.; Hu, B.; Velazquez, J. J. L.
2000
A Stefan problem for a protocell model. Zbl 0933.35199
Friedman, Avner; Hu, Bei
1999
Two kinds of $$C^0$$-type elements for buckling analysis of thin-walled curved beams. Zbl 0962.74059
Hu, N.; Hu, B.; Yan, B.; Fukunaga, H.; Sekine, H.
1999
Chaos in the $$Z(2)$$ gauge model on a generalized Bethe lattice of plaquettes. Zbl 1006.82008
Ananikian, N. S.; Dallakian, S. K.; Hu, B.; Izmailian, N. Sh.; Oganessyan, K. A.
1999
Asymptotics for the biharmonic equation near the tip of a crack. Zbl 0930.35056
Friedman, A.; Hu, B.; Velazquez, J. J. L.
1998
Optimal control of a chemical vapor deposition reactor. Zbl 0908.90182
Friedman, A.; Hu, B.
1998
A boundary value problem for the Poisson equation with multi-scale oscillating boundary. Zbl 0878.35014
Friedman, Avner; Hu, Bei; Liu, Yong
1997
The profile near quenching time for the solution of a singular semilinear heat equation. Zbl 0903.35007
Guo, Jong-Shenq; Hu, Bei
1997
On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition. Zbl 0874.35051
Hu, Bei; Yin, Hong-Ming
1997
Quenching problem for a singular semilinear heat equation. Zbl 0896.35066
Guo, Jong-Shenq; Hu, Bei
1997
Head-media interaction in magnetic recording. Zbl 0894.35114
Friedman, Avner; Hu, Bei
1997
A non-stationary multi-scale oscillating free boundary for the Laplace and heat equations. Zbl 0884.35175
Friedman, Avner; Hu, Bei
1997
The DeGiorgi-Nash-Moser type of estimate for parabolic Volterra integrodifferential equations. Zbl 0868.45007
Hu, Bei; Yin, Hong-Ming
1997
Chaotic properties of the $$Q$$-state Potts model on the Bethe lattice: $$Q<2$$. Zbl 0966.82003
Ananikian, N. S.; Dallakian, S. K.; Hu, B.
1997
Current and future directions in applied mathematics. Proceedings of a symposium, Notre Dame, IN, USA, April 1996. Zbl 0863.00008
Alber, Mark (ed.); Hu, Bei (ed.); Rosenthal, Joachim (ed.)
1997
Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition. Zbl 0852.35072
Hu, Bei
1996
Critical exponents for a system of heat equations coupled in a nonlinear boundary condition. Zbl 0857.35064
Hu, Bei; Yin, Hong-Ming
1996
On critical exponents for the heat equation with a nonlinear boundary condition. Zbl 0908.35066
Hu, Bei; Yin, Hong-Ming
1996
Gobal existence for a class of non-Fickian polymer-penetrant systems. Zbl 0860.35062
Hu, Bei; Zhang, Jianhua
1996
A Stefan problem for multidimensional reaction-diffusion systems. Zbl 0859.35143
Friedman, Avner; Hu, Bei
1996
Semilinear parabolic equations with prescribed energy. Zbl 0856.35063
Hu, Bei; Yin, Hong-Ming
1995
Pontryagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints. Zbl 0840.49012
Hu, Bei; Yong, Jiongmin
1995
Retractions of closed manifolds with nonpositive curvature. Zbl 0842.57003
Hu, B.
1995
The profile near blowup time for solution of the heat equation with a nonlinear boundary condition. Zbl 0823.35020
Hu, Bei; Yin, Hong-Ming
1994
Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition. Zbl 0820.35062
Hu, Bei
1994
Nondegeneracy and single-point-blowup for solution of the heat equation with a nonlinear boundary condition. Zbl 0839.35015
Hu, Bei
1994
Global solutions and quenching to a class of quasilinear parabolic equations. Zbl 0803.35078
Hu, Bei; Yin, Hong-Ming
1994
Determination of the leading coefficient $$a(x)$$ in the heat equation $$u_ t=a(x)\Delta u$$. Zbl 0783.35081
Hu, Bei; Yin, Hong-Ming
1993
The Stefan problem with kinetic condition at the free boundary. Zbl 0767.35108
Friedman, Avner; Hu, Bei
1992
A free boundary problem arising in superconductor modeling. Zbl 0851.35137
Friedman, Avner; Hu, Bei
1992
A free boundary problem arising in electrophotography: Solutions with connected toner region. Zbl 0769.35065
Hu, Bei; Wang, Lihe
1992
A nonlinear nonlocal parabolic equation for channel flow. Zbl 0777.35030
Hu, Bei
1992
A free-boundary problem modeling loop dislocations in crystals. Zbl 0776.73009
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
1992
A free boundary problem arising in electrophotography. Zbl 0753.35126
Friedman, Avner; Hu, Bei
1991
A quasi-variational inequality arising in elastohydrodynamics. Zbl 0718.35101
Hu, Bei
1990
The Stefan problem for a hyperbolic heat equation. Zbl 0695.35218
Friedman, Avner; Hu, Bei
1989
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
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#### 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