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## Chen, Xinfu

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 Author ID: chen.xinfu Published as: Chen, X.; Chen, X. F.; Chen, Xinfu Homepage: http://www.math.pitt.edu/~xfc/ External Links: MGP · ResearchGate · dblp · GND
 Documents Indexed: 178 Publications since 1987
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#### Co-Authors

 15 single-authored 14 Chadam, John M. 13 Qi, Yuanwei 12 Friedman, Avner 11 Guo, Jong-Shenq 11 Zhang, Yajing 9 Hao, Jianghao 9 Qin, Cong 8 Bates, Peter W. 8 Lai, Xin 8 Wang, Mingxin 7 Alikakos, Nicholas D. 5 Caginalp, Gunduz 5 Lou, Yuan 4 Cheng, Huibin 4 Hu, Bei 4 Jiang, Huiqiang 4 Kowalczyk, Michał 4 Yu, Wanghui 3 Caginalp, Carey 3 Chmaj, Adam J. J. 3 Elliott, Charles M. 3 Fusco, Giorgio 3 Hastings, Stuart P. 3 Hilhorst, Danielle 3 Okamoto, Hisashi 3 Ricci, Riccardo 3 Wang, Xiaoping 2 Ai, Shangbing 2 Cheng, Lan 2 Eck, Christof 2 Ermentrout, Bard G. 2 Gao, Congyu 2 Gianni, Roberto 2 Huang, Tingting 2 Jiang, Lishang 2 Lam, King-Yeung 2 Law, Chun-Kong 2 Logak, Elisabeth 2 Lou, Bendong 2 Ninomiya, Hirokazu 2 Oshita, Yoshihito 2 Saunders, David J. 2 Sun, Bruce Qiang 2 Tsai, Je-Chiang 2 Wang, Xuefeng 2 Wu, Yaping 2 Xu, Xianmin 2 Yi, Fahuai 2 Zhao, Jennifer Jing 1 Betelú, Santiago I. 1 Bian, Baojun 1 Brochet, D. 1 Carrillo de la Plata, José Antonio 1 Chen, Zhixiong 1 Cheng, Yu-Hsiang 1 Cheng, Yuhui 1 Comparini, Elena 1 Cui, Shangbin 1 Dai, Min 1 Del Pino, Manuel A. 1 Deng, Xinyu 1 Ei, Shin-Ichiro 1 Esenturk, Emre 1 Fila, Marek 1 Fu, Sheng-Chen 1 Gardiner, Andy 1 Giletti, Thomas 1 Hambrock, Richard 1 Hamel, François 1 Hong, Jiaxing 1 Hou, Thomas Yizhao 1 Huang, Chaocheng 1 Illner, Reinhard 1 Jin, Shi 1 Jones, Chris K. R. T. 1 Jones, James D. 1 Kimura, Tsuyoshi 1 Landriault, David 1 Li, Bin 1 Li, Dongchen 1 Liang, Jin 1 Liu, Chun 1 Liu, Gui Rong 1 Liu, Guoqing 1 Lu, Guozhen 1 McLeod, John Bryce 1 Mimura, Masayasu 1 Namah, Gawtum 1 Pond, Cody 1 Reitich, Fernando 1 Roquejoffre, Jean-Michel 1 Sadhu, Susmita 1 Saunders, David A. 1 Starr, Thomas L. 1 Tang, Qi 1 Troy, William C. 1 Wang, Lihe 1 Wang, Qi 1 Wang, Xuelei 1 Wang, Zhian ...and 15 more Co-Authors
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#### Serials

 15 Journal of Differential Equations 14 SIAM Journal on Mathematical Analysis 10 Journal of Mathematical Analysis and Applications 9 Archive for Rational Mechanics and Analysis 9 European Journal of Applied Mathematics 8 Discrete and Continuous Dynamical Systems 7 Transactions of the American Mathematical Society 6 SIAM Journal on Applied Mathematics 4 Communications in Partial Differential Equations 4 Interfaces and Free Boundaries 4 Discrete and Continuous Dynamical Systems. Series B 4 SIAM Journal on Financial Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Physica D 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Calculus of Variations and Partial Differential Equations 2 Applicable Analysis 2 Journal of Computational Physics 2 Journal of Mathematical Biology 2 Indiana University Mathematics Journal 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Differential and Integral Equations 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Journal of Partial Differential Equations 2 Advances in Differential Equations 2 Mathematical Finance 2 RIMS Kokyuroku 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Differential Geometry 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Insurance Mathematics & Economics 1 Acta Mathematicae Applicatae Sinica. English Series 1 The Annals of Applied Probability 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Statistics. Simulation and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 The Canadian Applied Mathematics Quarterly 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Mathematical Sciences. University of Tokyo 1 Applied Mathematical Finance 1 Communications in Contemporary Mathematics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Networks and Heterogeneous Media
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#### Fields

 130 Partial differential equations (35-XX) 30 Biology and other natural sciences (92-XX) 27 Ordinary differential equations (34-XX) 21 Fluid mechanics (76-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Classical thermodynamics, heat transfer (80-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Probability theory and stochastic processes (60-XX) 10 Mechanics of deformable solids (74-XX) 8 Numerical analysis (65-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 Integral equations (45-XX) 4 Systems theory; control (93-XX) 3 Optics, electromagnetic theory (78-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

142 Publications have been cited 2,578 times in 1,793 Documents Cited by Year
Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Zbl 1023.35513
Chen, Xinfu
1997
Generation and propagation of interfaces for reaction-diffusion equations. Zbl 0765.35024
Chen, Xinfu
1992
Convergence of the Cahn-Hilliard equation to the Hele-Shaw model. Zbl 0828.35105
Alikakos, Nicholas D.; Bates, Peter W.; Chen, Xinfu
1994
Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. Zbl 1010.39004
Chen, Xinfu; Guo, Jong-Shenq
2002
Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Zbl 1086.34011
Chen, Xinfu; Guo, Jong-Shenq
2003
Traveling waves of bistable dynamics on a lattice. Zbl 1050.37041
Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J.
2003
Periodic traveling waves and locating oscillating patterns in multidimensional domains. Zbl 0929.35067
Alikakos, Nicholas D.; Bates, Peter W.; Chen, Xinfu
1999
A free boundary problem arising in a model of wound healing. Zbl 0972.35193
Chen, Xinfu; Friedman, Avner
2000
Existence and uniqueness of entire solutions for a reaction-diffusion equation. Zbl 1079.35046
Chen, Xinfu; Guo, Jong-Shenq
2005
Convergence of the phase field model to its sharp interface limits. Zbl 0930.35024
Caginalp, Gunduz; Chen, Xinfu
1998
Spectrum for the Allen-Cahn, Cahn-Hilliard, and phase-field equations for generic interfaces. Zbl 0811.35098
Chen, Xinfu
1994
Evolution of conditional dispersal: a reaction-diffusion-advection model. Zbl 1141.92040
Chen, Xinfu; Hambrock, Richard; Lou, Yuan
2008
Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060
Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq
2006
Finite dimensional exponential attractor for the phase field model. Zbl 0790.35052
Brochet, D.; Hilhorst, D.; Chen, Xinfu
1993
Global asymptotic limit of solutions of the Cahn-Hilliard equation. Zbl 0874.35045
Chen, Xinfu
1996
A nonlinear elliptic equation arising from gauge field theory and cosmology. Zbl 0813.35015
Chen, Xinfu; Hastings, Stuart; McLeod, J. Bryce; Yang, Yisong
1994
The Hele–Shaw problem and area-preserving curve-shortening motions. Zbl 0780.35117
Chen, Xinfu
1993
Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model. Zbl 1153.35056
Chen, Xinfu; Lou, Yuan
2008
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
2003
Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024
Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu
2006
Traveling waves with paraboloid like interfaces for balanced bistable dynamics. Zbl 1132.35396
Chen, Xinfu; Guo, Jong-Shenq; Hamel, François; Ninomiya, Hirokazu; Roquejoffre, Jean-Michel
2007
Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033
Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin
2008
Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling. Zbl 0761.35113
Chen, Xinfu; Reitich, Fernando
1992
A mathematical analysis of the optimal exercise boundary for American put options. Zbl 1305.91227
2007
Shooting method for vortex solutions of a complex-valued Ginzburg-Landau equation. Zbl 0816.34003
Chen, Xinfu; Elliott, Charles M.; Qi, Tang
1994
Dynamics of a reaction-diffusion-advection model for two competing species. Zbl 1258.35118
Chen, Xinfu; Lam, King-Yeung; Lou, Yuan
2012
An application of the modular function in nonlocal variational problem. Zbl 1147.74024
Chen, Xinfu; Oshita, Yoshihito
2007
Existence, uniqueness, and regularity of classical solutions of the Mullins-Sekerka problem. Zbl 0884.35177
Chen, Xinfu; Hong, Jiaxing; Yi, Fahuai
1996
Maxwell’s equations in a periodic structure. Zbl 0727.35131
Chen, Xinfu; Friedman, Avner
1991
Motion of a droplet by surface tension along the boundary. Zbl 0994.35052
Alikakos, Nicholas D.; Chen, Xinfu; Fusco, Giorgio
2000
A strongly coupled predator-prey system with non-monotonic functional response. Zbl 1387.35184
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2007
Periodicity and uniqueness of global minimizers of an energy functional containing a long-range interaction. Zbl 1114.49002
Chen, Xinfu; Oshita, Yoshihito
2006
Generation, propagation, and annihilation of metastable patterns. Zbl 1061.35014
Chen, Xinfu
2004
Heteroclinic solutions of a van der Waals model with infinite nonlocal interactions. Zbl 1086.49008
Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J.
2005
Phase field equations in the singular limit of sharp interface problems. Zbl 0760.76094
Caginalp, Gunduz; Chen, Xinfu
1992
Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
2010
The Gierer $$\&$$ Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025
del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu
2001
Asymptotics for a parabolic double obstacle problem. Zbl 0814.35044
Chen, Xinfu; Elliott, Charles M.
1994
Sharp estimates on minimum travelling wave speed of reaction diffusion systems modelling auto-catalysis. Zbl 1360.34065
Chen, Xinfu; Qi, Yuanwei
2007
Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications. Zbl 1316.35218
Chen, Xinfu; Lou, Yuan
2012
Lorenz equations. I: Existence and nonexistence of homoclinic orbits. Zbl 0861.34028
Chen, Xinfu
1996
Convexity of the exercise boundary of the American put option on a zero dividend asset. Zbl 1138.91425
Chen, Xinfu; Chadam, John; Jiang, Lishang; Zheng, Weian
2008
Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities. Zbl 1165.35363
Alikakos, Nicholas D.; Betelú, Santiago I.; Chen, Xinfu
2006
Generation and propagation of interfaces in reaction-diffusion systems. Zbl 0785.35006
Chen, Xinfu
1992
A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166
Chen, Xinfu; Cui, Shangbin; Friedman, Avner
2005
Convergence of numerical solutions to the Allen-Cahn equation. Zbl 0992.65096
Chen, Xinfu; Elliott, Charlie M.; Gardiner, Andy; Zhao, Jennifer Jing
1998
Asymptotic behavior of solutions of an Allen-Cahn equation with a nonlocal term. Zbl 0883.35013
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
1997
Propagation of local disturbances in reaction diffusion systems modeling quadratic autocatalysis. Zbl 1170.35454
Chen, Xinfu; Qi, Yuanwei
2008
The construction of 1D wavelet finite elements for structural analysis. Zbl 1181.74143
Xiang, J. W.; Chen, X. F.; He, Z. J.; Dong, H. B.
2007
Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Zbl 0863.35009
Chen, Xinfu; Kowalczyk, Michał
1996
Stability of spiky solution of Keller-Segel’s minimal chemotaxis model. Zbl 1302.35053
Chen, Xinfu; Hao, Jianghao; Wang, Xuefeng; Wu, Yaping; Zhang, Yajing
2014
Analysis of the Cahn-Hilliard equation with a relaxation boundary condition modeling the contact angle dynamics. Zbl 1293.35235
Chen, Xinfu; Wang, Xiaoping; Xu, Xianmin
2014
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
2008
Travelling waves of auto-catalytic chemical reaction of general order-an elliptic approach. Zbl 1180.34026
Chen, Xinfu; Qi, Yuanwei
2009
Analysis of an inverse first passage problem from risk management. Zbl 1127.60036
Cheng, Lan; Chen, Xinfu; Chadam, John; Saunders, David
2006
Layers and spikes in nonhomogeneous bistable reaction-diffusion equations. Zbl 1087.35007
Ai, Shangbing; Chen, Xinfu; Hastings, Stuart P.
2006
Self-similar singular solutions of a $$p$$-Laplacian evolution equation with absorption. Zbl 1028.34031
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2003
Dynamics of an interior spike in the Gierer-Meinhardt system. Zbl 0993.35012
Chen, Xinfu; Kowalczyk, Michał
2001
Global existence of solutions to the Proudman-Johnson equation. Zbl 0966.35002
Chen, Xinfu; Okamoto, Hisashi
2000
Transition fronts and localized structures in bistable reaction-diffusion equations. Zbl 0935.35069
Ermentrout, Bard; Chen, Xinfu; Chen, Zhixiong
1997
Reconstructing potentials from zeros of one eigenfunction. Zbl 1232.34021
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
2011
Traveling waves of a curvature flow in almost periodic media. Zbl 1182.35073
Lou, Bendong; Chen, Xinfu
2009
Discontinuous solutions of steady state, viscous compressible Navier- Stokes equations. Zbl 0812.35093
Chen, Xinfu; Xie, Weiqing
1995
Longtime behavior of solutions of a SIS epidemiological model. Zbl 1378.35310
Chen, Xinfu; Tsai, Je-Chiang; Wu, Yaping
2017
Long time behavior of solutions of a reaction-diffusion equation on unbounded intervals with Robin boundary conditions. Zbl 1332.35168
Chen, Xinfu; Lou, Bendong; Zhou, Maolin; Giletti, Thomas
2016
On minimizing drawdown risks of lifetime investments. Zbl 1348.91249
Chen, Xinfu; Landriault, David; Li, Bin; Li, Dongchen
2015
Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010
Chen, Xinfu; Guo, Jong-Shenq
2007
Steady states of a strongly coupled prey-predator model. Zbl 1144.35470
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2005
Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025
Chen, Xinfu; Kowalczyk, Michał
2001
An efficient boundary integral method for the Mullins-Sekerka problem. Zbl 0879.65092
Zhu, Jingyi; Chen, Xinfu; Hou, Thomas Y.
1996
Effective boundary conditions resulting from anisotropic and optimally aligned coatings: the two dimensional case. Zbl 1376.80003
Chen, Xinfu; Pond, Cody; Wang, Xuefeng
2012
A Tikhonov regularization for the inverse nodal problem for $$p$$-Laplacian. Zbl 1253.34024
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
2012
Interface conditions for a phase field model with anisotropic and non-local interactions. Zbl 1256.35209
Chen, Xinfu; Caginalp, Gunduz; Esenturk, Emre
2011
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
2011
Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054
Chen, Xinfu; Guo, Jong-Shenq
2011
Singular solutions of parabolic $$p$$-Laplacian with absorption. Zbl 1213.35267
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2007
Existence and regularity of solutions of a nonlinear nonuniformly elliptic system arising from a thermistor problem. Zbl 0830.35045
Chen, Xinfu
1994
The thermistor problem for conductivity which vanishes at large temperature. Zbl 0803.35051
Chen, Xinfu; Friedman, Avner
1993
Existence and uniqueness of global classical solutions of a gradient flow of the Landau-de Gennes energy. Zbl 1342.35041
Chen, Xinfu; Xu, Xiang
2016
Characterization of optimal strategy for multiasset investment and consumption with transaction costs. Zbl 1283.91165
Chen, Xinfu; Dai, Min
2013
Nonconvexity of the optimal exercise boundary for an American put option on a dividend-paying asset. Zbl 1282.91326
Chen, Xinfu; Cheng, Huibin; Chadam, John
2013
Effective contact angle for rough boundary. Zbl 1322.76013
Chen, Xinfu; Wang, Xiao-Ping; Xu, Xianmin
2013
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
2012
Existence and uniqueness of solutions to the inverse boundary crossing problem for diffusions. Zbl 1244.60078
Chen, Xinfu; Cheng, Lan; Chadam, John; Saunders, David
2011
Self-motion of camphor discs: model and analysis. Zbl 1189.80044
Chen, Xinfu; Ei, Shin-Ichiro; Mimura, Masayasu
2009
Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019
Chen, Xinfu; Hu, Bei
2008
A rapidly converging phase field model. Zbl 1119.80009
Chen, Xinfu; Caginalp, Gunduz; Eck, Christof
2006
Long time behavior of solutions to $$p$$-Laplacian equation with absorption. Zbl 1047.35021
Chen, Xinfu; Qi, Y. W.; Wang, Mingxin
2003
Global existence of solutions to the generalized Proudman-Johnson equation. Zbl 1020.35002
Chen, Xinfu; Okamoto, Hisashi
2002
Nonstationary filtration in partially saturated porous media. Zbl 0818.76082
Chen, Xinfu; Friedman, Avner; Kimura, Tsuyoshi
1994
Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139
Su, Z.; Zhu, G.; Chen, X.; Yang, Y.
2016
Existence of traveling waves of auto-catalytic systems with decay. Zbl 1387.34070
Chen, Xinfu; Qi, Yuanwei; Zhang, Yajing
2016
Existence, uniqueness, and stability of bubble solutions of a chemotaxis model. Zbl 1326.92010
Lai, Xin; Chen, Xinfu; Wang, Mingxin; Qin, Cong; Zhang, Yajing
2016
Regularity of free boundary arising from optimal exercise of perpetual executive stock options. Zbl 1346.35197
Qin, Cong; Chen, Xinfu; Lai, Xin; Yu, Wanghui
2015
Numerical tests of a phase field model with second order accuracy. Zbl 1151.80006
Caginalp, Gunduz; Chen, Xinfu; Eck, Christof
2008
Asymptotics of radial oscillatory solutions of semilinear elliptic equations. Zbl 1021.35036
Chen, Xinfu; Lu, Guozhen
2001
Mullins-Sekerka motion of small droplets on a fixed boundary. Zbl 0984.35013
Alikakos, Nicholas D.; Bates, Peter W.; Chen, Xinfu; Fusco, Giorgio
2000
Regularity of the free boundary of a continuous casting problem. Zbl 0796.35179
Chen, Xinfu; Yi, Fahuai
1993
Axially symmetric jets of compressible fluid. Zbl 0739.76060
Chen, Xinfu
1991
The existence of minimum speed of traveling wave solutions to a non-KPP isothermal diffusion system. Zbl 1385.34025
Chen, Xinfu; Liu, Guirong; Qi, Yuanwei
2017
Structure evolution at early stage of boundary-layer transition: simulation and experiment. Zbl 07193492
Jiang, X. Y.; Lee, C. B.; Chen, X.; Smith, C. R.; Linden, P. F.
2020
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. Zbl 07153138
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu
2020
Traveling wave to non-KPP isothermal diffusion systems: existence of minimum speed and sharp bounds. Zbl 1411.35145
Chen, Xinfu; Qi, Yuanwei
2019
Existence of traveling waves of general Gray-Scott models. Zbl 1439.34033
Zheng, Zhi; Chen, Xinfu; Qi, Yuanwei; Zhou, Shulin
2018
A variational inequality arising from optimal exercise perpetual executive stock options. Zbl 1401.91534
Lai, Xin; Chen, Xinfu; Qin, Cong; Yu, Wanghui
2018
Longtime behavior of solutions of a SIS epidemiological model. Zbl 1378.35310
Chen, Xinfu; Tsai, Je-Chiang; Wu, Yaping
2017
The existence of minimum speed of traveling wave solutions to a non-KPP isothermal diffusion system. Zbl 1385.34025
Chen, Xinfu; Liu, Guirong; Qi, Yuanwei
2017
Dynamics of spike in a Keller-Segel’s minimal chemotaxis model. Zbl 1364.35128
Qin, Cong; Lai, Xin; Hao, Jianghao; Chen, Xinfu; Zhang, Yajing
2017
Traveling pulses in a nonlocal equation arising near a saddle-node infinite cycle bifurcation. Zbl 1383.92014
Chen, Xinfu; Ermentrout, Bard
2017
On a cross-diffusion system modeling vegetation spots and strips in a semi-arid or arid landscape. Zbl 1371.35157
Yin, Hong-Ming; Chen, Xinfu; Wang, Lihe
2017
Long time behavior of solutions of a reaction-diffusion equation on unbounded intervals with Robin boundary conditions. Zbl 1332.35168
Chen, Xinfu; Lou, Bendong; Zhou, Maolin; Giletti, Thomas
2016
Existence and uniqueness of global classical solutions of a gradient flow of the Landau-de Gennes energy. Zbl 1342.35041
Chen, Xinfu; Xu, Xiang
2016
Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139
Su, Z.; Zhu, G.; Chen, X.; Yang, Y.
2016
Existence of traveling waves of auto-catalytic systems with decay. Zbl 1387.34070
Chen, Xinfu; Qi, Yuanwei; Zhang, Yajing
2016
Existence, uniqueness, and stability of bubble solutions of a chemotaxis model. Zbl 1326.92010
Lai, Xin; Chen, Xinfu; Wang, Mingxin; Qin, Cong; Zhang, Yajing
2016
Convergence rate of free boundary of numerical scheme for American option. Zbl 1410.91479
Chen, Xinfu; Hu, Bei; Liang, Jin; Zhang, Yajing
2016
On minimizing drawdown risks of lifetime investments. Zbl 1348.91249
Chen, Xinfu; Landriault, David; Li, Bin; Li, Dongchen
2015
Regularity of free boundary arising from optimal exercise of perpetual executive stock options. Zbl 1346.35197
Qin, Cong; Chen, Xinfu; Lai, Xin; Yu, Wanghui
2015
Mathematical analysis of a variational inequality modelling perpetual executive stock options. Zbl 1408.91218
Lai, Xin; Chen, Xinfu; Wang, Mingxin; Qin, Cong; Yu, Wanghui
2015
Infinitely many spike solutions for the Hénon equation with critical growth. Zbl 1323.35019
Hao, Jianghao; Chen, Xinfu; Zhang, Yajing
2015
Infinitely many spiky solutions for a Hénon type biharmonic equation with critical growth. Zbl 1353.35148
Hao, Jianghao; Zhang, Yajing; Chen, Xinfu
2015
Stability of spiky solution of Keller-Segel’s minimal chemotaxis model. Zbl 1302.35053
Chen, Xinfu; Hao, Jianghao; Wang, Xuefeng; Wu, Yaping; Zhang, Yajing
2014
Analysis of the Cahn-Hilliard equation with a relaxation boundary condition modeling the contact angle dynamics. Zbl 1293.35235
Chen, Xinfu; Wang, Xiaoping; Xu, Xianmin
2014
An eigenvalue problem arising from spiky steady states of a minimal chemotaxis model. Zbl 1341.34023
Zhang, Yajing; Chen, Xinfu; Hao, Jianghao; Lai, Xin; Qin, Cong
2014
Corrigendum: “Dynamics of a reaction-diffusion-advection model for two competing species”. Zbl 1303.35046
Chen, Xinfu; Lam, King-Yeung; Lou, Yuan
2014
Characterization of optimal strategy for multiasset investment and consumption with transaction costs. Zbl 1283.91165
Chen, Xinfu; Dai, Min
2013
Nonconvexity of the optimal exercise boundary for an American put option on a dividend-paying asset. Zbl 1282.91326
Chen, Xinfu; Cheng, Huibin; Chadam, John
2013
Effective contact angle for rough boundary. Zbl 1322.76013
Chen, Xinfu; Wang, Xiao-Ping; Xu, Xianmin
2013
Effects of white noise in multistable dynamics. Zbl 1306.37052
Chen, Xinfu; Caginalp, Carey; Hao, Jianghao; Zhang, Yajing
2013
Dynamics of a reaction-diffusion-advection model for two competing species. Zbl 1258.35118
Chen, Xinfu; Lam, King-Yeung; Lou, Yuan
2012
Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications. Zbl 1316.35218
Chen, Xinfu; Lou, Yuan
2012
Effective boundary conditions resulting from anisotropic and optimally aligned coatings: the two dimensional case. Zbl 1376.80003
Chen, Xinfu; Pond, Cody; Wang, Xuefeng
2012
A Tikhonov regularization for the inverse nodal problem for $$p$$-Laplacian. Zbl 1253.34024
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
2012
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
2012
Analytical and numerical results for an escape problem. Zbl 1253.60085
Caginalp, Carey; Chen, Xinfu
2012
Uniform asymptotic expansions of solutions of an inhomogeneous equation. Zbl 1365.34097
2012
Singular limit of an energy minimizer arising from dewetting thin film model with Van der waal, born repulsion and surface tension forces. Zbl 1244.35036
Chen, Xinfu; Jiang, Huiqiang
2012
Traveling waves of a non-local conservation law. Zbl 1274.35230
Chen, Xinfu; Jiang, Huiqiang
2012
Reconstructing potentials from zeros of one eigenfunction. Zbl 1232.34021
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
2011
Interface conditions for a phase field model with anisotropic and non-local interactions. Zbl 1256.35209
Chen, Xinfu; Caginalp, Gunduz; Esenturk, Emre
2011
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
2011
Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054
Chen, Xinfu; Guo, Jong-Shenq
2011
Existence and uniqueness of solutions to the inverse boundary crossing problem for diffusions. Zbl 1244.60078
Chen, Xinfu; Cheng, Lan; Chadam, John; Saunders, David
2011
Far-from-expiry behavior of the American put option on a dividend-paying asset. Zbl 1210.35303
Chen, Xinfu; Cheng, Huibin; Chadam, John
2011
Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
2010
Travelling waves of auto-catalytic chemical reaction of general order-an elliptic approach. Zbl 1180.34026
Chen, Xinfu; Qi, Yuanwei
2009
Traveling waves of a curvature flow in almost periodic media. Zbl 1182.35073
Lou, Bendong; Chen, Xinfu
2009
Self-motion of camphor discs: model and analysis. Zbl 1189.80044
Chen, Xinfu; Ei, Shin-Ichiro; Mimura, Masayasu
2009
Multistage scenario-based interval-stochastic programming for planning water resources allocation. Zbl 1418.90183
Li, Y. P.; Huang, G. H.; Chen, X.
2009
Evolution of conditional dispersal: a reaction-diffusion-advection model. Zbl 1141.92040
Chen, Xinfu; Hambrock, Richard; Lou, Yuan
2008
Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model. Zbl 1153.35056
Chen, Xinfu; Lou, Yuan
2008
Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033
Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin
2008
Convexity of the exercise boundary of the American put option on a zero dividend asset. Zbl 1138.91425
Chen, Xinfu; Chadam, John; Jiang, Lishang; Zheng, Weian
2008
Propagation of local disturbances in reaction diffusion systems modeling quadratic autocatalysis. Zbl 1170.35454
Chen, Xinfu; Qi, Yuanwei
2008
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
2008
Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019
Chen, Xinfu; Hu, Bei
2008
Numerical tests of a phase field model with second order accuracy. Zbl 1151.80006
Caginalp, Gunduz; Chen, Xinfu; Eck, Christof
2008
A parabolic-hyperbolic quasilinear system. Zbl 1158.35004
Chen, Xinfu; Friedman, Avner; Hu, Bei
2008
Traveling waves with paraboloid like interfaces for balanced bistable dynamics. Zbl 1132.35396
Chen, Xinfu; Guo, Jong-Shenq; Hamel, François; Ninomiya, Hirokazu; Roquejoffre, Jean-Michel
2007
A mathematical analysis of the optimal exercise boundary for American put options. Zbl 1305.91227
2007
An application of the modular function in nonlocal variational problem. Zbl 1147.74024
Chen, Xinfu; Oshita, Yoshihito
2007
A strongly coupled predator-prey system with non-monotonic functional response. Zbl 1387.35184
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2007
Sharp estimates on minimum travelling wave speed of reaction diffusion systems modelling auto-catalysis. Zbl 1360.34065
Chen, Xinfu; Qi, Yuanwei
2007
The construction of 1D wavelet finite elements for structural analysis. Zbl 1181.74143
Xiang, J. W.; Chen, X. F.; He, Z. J.; Dong, H. B.
2007
Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010
Chen, Xinfu; Guo, Jong-Shenq
2007
Singular solutions of parabolic $$p$$-Laplacian with absorption. Zbl 1213.35267
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2007
Optimal payment of mortgages. Zbl 1216.91030
Xie, Dejun; Chen, Xinfu; Chadam, John
2007
Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060
Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq
2006
Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024
Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu
2006
Periodicity and uniqueness of global minimizers of an energy functional containing a long-range interaction. Zbl 1114.49002
Chen, Xinfu; Oshita, Yoshihito
2006
Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities. Zbl 1165.35363
Alikakos, Nicholas D.; Betelú, Santiago I.; Chen, Xinfu
2006
Analysis of an inverse first passage problem from risk management. Zbl 1127.60036
Cheng, Lan; Chen, Xinfu; Chadam, John; Saunders, David
2006
Layers and spikes in nonhomogeneous bistable reaction-diffusion equations. Zbl 1087.35007
Ai, Shangbing; Chen, Xinfu; Hastings, Stuart P.
2006
A rapidly converging phase field model. Zbl 1119.80009
Chen, Xinfu; Caginalp, Gunduz; Eck, Christof
2006
Well-posedness of a free boundary problem in the limit of slow-diffusion fast-reaction systems. Zbl 1095.35053
Chen, Xinfu; Gao, Congyu
2006
Existence and uniqueness of entire solutions for a reaction-diffusion equation. Zbl 1079.35046
Chen, Xinfu; Guo, Jong-Shenq
2005
Heteroclinic solutions of a van der Waals model with infinite nonlocal interactions. Zbl 1086.49008
Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J.
2005
A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166
Chen, Xinfu; Cui, Shangbin; Friedman, Avner
2005
Steady states of a strongly coupled prey-predator model. Zbl 1144.35470
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2005
Classification of singular solutions of porous media equations with absorption. Zbl 1084.35035
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2005
Generation, propagation, and annihilation of metastable patterns. Zbl 1061.35014
Chen, Xinfu
2004
Finite-range repulsive systems of finitely many particles. Zbl 1057.70007
Chen, Xinfu; Illner, Reinhard
2004
Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Zbl 1086.34011
Chen, Xinfu; Guo, Jong-Shenq
2003
Traveling waves of bistable dynamics on a lattice. Zbl 1050.37041
Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J.
2003
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
2003
Self-similar singular solutions of a $$p$$-Laplacian evolution equation with absorption. Zbl 1028.34031
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2003
Long time behavior of solutions to $$p$$-Laplacian equation with absorption. Zbl 1047.35021
Chen, Xinfu; Qi, Y. W.; Wang, Mingxin
2003
Analytical and numerical approximations for the early exercise boundary for American put options. Zbl 1122.91326
2003
Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. Zbl 1010.39004
Chen, Xinfu; Guo, Jong-Shenq
2002
Global existence of solutions to the generalized Proudman-Johnson equation. Zbl 1020.35002
Chen, Xinfu; Okamoto, Hisashi
2002
Periodic travelling wave solutions of a parabolic equation: a monotonicity result. Zbl 1072.35539
Chen, Xinfu; Namah, Gawtum
2002
The Gierer $$\&$$ Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025
del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu
2001
Dynamics of an interior spike in the Gierer-Meinhardt system. Zbl 0993.35012
Chen, Xinfu; Kowalczyk, Michał
2001
Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025
Chen, Xinfu; Kowalczyk, Michał
2001
Asymptotics of radial oscillatory solutions of semilinear elliptic equations. Zbl 1021.35036
Chen, Xinfu; Lu, Guozhen
2001
A free boundary problem arising in a model of wound healing. Zbl 0972.35193
Chen, Xinfu; Friedman, Avner
2000
Motion of a droplet by surface tension along the boundary. Zbl 0994.35052
Alikakos, Nicholas D.; Chen, Xinfu; Fusco, Giorgio
2000
Global existence of solutions to the Proudman-Johnson equation. Zbl 0966.35002
Chen, Xinfu; Okamoto, Hisashi
2000
Mullins-Sekerka motion of small droplets on a fixed boundary. Zbl 0984.35013
Alikakos, Nicholas D.; Bates, Peter W.; Chen, Xinfu; Fusco, Giorgio
2000
Robust numerical simulation of porosity evolution in chemical vapor infiltration. I: Two space dimensions. Zbl 0984.76060
Jin, Shi; Wang, Xuelei; Starr, Thomas L.; Chen, Xinfu
2000
...and 42 more Documents
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#### Cited by 1,994 Authors

 65 Li, Wan-Tong 56 Chen, Xinfu 33 Wei, Juncheng 32 Wang, Mingxin 32 Wu, Shiliang 25 Miranville, Alain M. 25 Wang, Zhi Cheng 24 Lou, Yuan 23 Guo, Jong-Shenq 20 Friedman, Avner 20 Rossi, Julio Daniel 19 Shen, Wenxian 19 Zhang, Guobao 19 Zhao, Xiao-Qiang 17 Hsu, Cheng-Hsiung 16 Lin, Zhigui 15 Lin, Guo 15 Qi, Yuanwei 15 Ruan, Shigui 14 Sheng, WeiJie 13 Hilhorst, Danielle 13 Wu, Changhong 12 Du, Yihong 12 Hupkes, Hermen Jan 12 Lam, King-Yeung 12 Li, Xiong 12 Lou, Bendong 12 Yang, Yisong 11 Bates, Peter W. 11 Coville, Jerome 11 Ei, Shin-Ichiro 11 Han, Jongmin 11 Hu, Bei 11 Matano, Hiroshi 11 Wang, Bixiang 11 Ward, Michael J. 11 Xu, Zhaoquan 11 Zhou, Peng 10 Choe, Kwangseok 10 Hamel, François 10 Karali, Georgia D. 10 Kowalczyk, Michał 10 Ninomiya, Hirokazu 10 Peng, Rui 10 Poláčik, Peter 10 Wang, Jiabing 10 Wu, Chin-Chin 10 Zhou, Maolin 9 Del Pino, Manuel A. 9 Quintanilla de Latorre, Ramón 9 Wang, Zhi Cheng 9 Yu, Zhixian 9 Yuan, Rong 9 Zhang, Yajing 8 Abels, Helmut 8 Bretin, Elie 8 Kweon, Jae Ryong 8 Li, Kun 8 Lin, Chang-Shou 8 Liu, NaiWei 8 Martínez, Salomé 8 Novaga, Matteo 8 Pan, Shuxia 8 Qin, Cong 8 Ren, Xiaofeng 8 Tsai, Je-Chiang 8 Van Vleck, Erik S. 8 Wang, Xiaoping 8 Weng, Peixuan 8 Zhang, Zhengce 8 Zhao, Caidi 7 Bao, Xiongxiong 7 Cosner, Chris 7 Du, Qiang 7 Fang, Jian 7 Feng, Zhaosheng 7 Garcke, Harald 7 Lai, Xin 7 Liu, Chun 7 Lv, Guangying 7 Moroşanu, Costică 7 Rybka, Piotr 7 Winter, Matthias 7 Wu, Hao 7 Xu, Xianmin 7 Yang, Feiying 7 Yang, Jun 7 Yi, Fahuai 6 Chen, Guangsheng 6 Chmaj, Adam J. J. 6 Cortázar, Carmen 6 Elgueta, Manuel 6 Feng, Xiaobing 6 Grasselli, Maurizio 6 Gui, Changfeng 6 Hao, Jianghao 6 Huang, Jianhua 6 Katsoulakis, Markos A. 6 Kolokolnikov, Theodore 6 Lowengrub, John Samuel ...and 1,894 more Authors
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#### Cited in 268 Serials

 211 Journal of Differential Equations 100 Journal of Mathematical Analysis and Applications 59 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 51 Discrete and Continuous Dynamical Systems 49 Nonlinear Analysis. Real World Applications 43 Physica D 42 Archive for Rational Mechanics and Analysis 41 Journal of Dynamics and Differential Equations 40 Discrete and Continuous Dynamical Systems. Series B 32 Calculus of Variations and Partial Differential Equations 29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 Journal of Computational Physics 28 SIAM Journal on Mathematical Analysis 26 Journal of Mathematical Biology 26 Applied Mathematics and Computation 24 Communications in Mathematical Physics 22 Journal of Functional Analysis 21 Applicable Analysis 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Proceedings of the American Mathematical Society 19 Journal of Mathematical Physics 19 Japan Journal of Industrial and Applied Mathematics 18 Communications in Partial Differential Equations 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 Communications on Pure and Applied Analysis 17 European Journal of Applied Mathematics 16 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Mathematical Methods in the Applied Sciences 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Computers & Mathematics with Applications 14 Transactions of the American Mathematical Society 13 Journal of Statistical Physics 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Bulletin of Mathematical Biology 12 Journal of Computational and Applied Mathematics 12 Journal of Scientific Computing 12 Science China. Mathematics 11 SIAM Journal on Applied Mathematics 10 Nonlinearity 10 Abstract and Applied Analysis 9 Computer Methods in Applied Mechanics and Engineering 9 Mathematische Annalen 9 Applied Mathematics Letters 9 Journal of Difference Equations and Applications 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Mathematical and Computer Modelling 8 Journal of Nonlinear Science 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Advances in Difference Equations 8 Discrete and Continuous Dynamical Systems. Series S 8 Journal of Theoretical Biology 7 SIAM Journal on Numerical Analysis 7 Acta Applicandae Mathematicae 7 Nonlinear Dynamics 7 Taiwanese Journal of Mathematics 7 Acta Mathematica Sinica. English Series 7 Communications in Nonlinear Science and Numerical Simulation 7 Boundary Value Problems 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 International Journal of Biomathematics 6 Communications on Pure and Applied Mathematics 6 Mathematics of Computation 6 Applied Mathematics and Optimization 6 Quarterly of Applied Mathematics 6 Applied Mathematics and Mechanics. (English Edition) 6 Physics of Fluids 6 Journal of Mathematical Sciences (New York) 6 SIAM Journal on Applied Dynamical Systems 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Fluid Mechanics 5 Letters in Mathematical Physics 5 Mathematical Biosciences 5 Advances in Mathematics 5 Numerische Mathematik 5 Journal of Integral Equations and Applications 5 The Annals of Applied Probability 5 The Journal of Geometric Analysis 5 NoDEA. Nonlinear Differential Equations and Applications 5 Interfaces and Free Boundaries 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Journal of Evolution Equations 5 Multiscale Modeling & Simulation 5 Journal of Biological Dynamics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Tohoku Mathematical Journal. Second Series 4 Insurance Mathematics & Economics 4 Asymptotic Analysis 4 Applications of Mathematics 4 Applied Mathematical Modelling 4 Continuum Mechanics and Thermodynamics 4 Journal of Dynamical and Control Systems 4 Communications in Contemporary Mathematics 4 Journal of Applied Mathematics 4 SIAM Journal on Financial Mathematics 4 Journal of Applied Analysis and Computation 4 Journal of Elliptic and Parabolic Equations 3 Computers and Fluids 3 Chaos, Solitons and Fractals 3 Mathematische Zeitschrift 3 Memoirs of the American Mathematical Society ...and 168 more Serials
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#### Cited in 48 Fields

 1,351 Partial differential equations (35-XX) 460 Biology and other natural sciences (92-XX) 224 Ordinary differential equations (34-XX) 164 Fluid mechanics (76-XX) 160 Numerical analysis (65-XX) 148 Dynamical systems and ergodic theory (37-XX) 114 Statistical mechanics, structure of matter (82-XX) 99 Classical thermodynamics, heat transfer (80-XX) 86 Integral equations (45-XX) 82 Mechanics of deformable solids (74-XX) 75 Probability theory and stochastic processes (60-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 66 Differential geometry (53-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Global analysis, analysis on manifolds (58-XX) 44 Operator theory (47-XX) 34 Quantum theory (81-XX) 25 Difference and functional equations (39-XX) 25 Optics, electromagnetic theory (78-XX) 17 Systems theory; control (93-XX) 10 Mechanics of particles and systems (70-XX) 9 Approximations and expansions (41-XX) 9 Functional analysis (46-XX) 9 Relativity and gravitational theory (83-XX) 8 Potential theory (31-XX) 7 Statistics (62-XX) 7 Operations research, mathematical programming (90-XX) 4 Measure and integration (28-XX) 4 Integral transforms, operational calculus (44-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-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 Manifolds and cell complexes (57-XX) 1