## Chen, Xinfu

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 Author ID: chen.xinfu Published as: Chen, Xinfu Homepage: http://www.math.pitt.edu/~xfc/ External Links: MGP · Google Scholar · ResearchGate · dblp · GND
 Documents Indexed: 183 Publications since 1987 Co-Authors: 109 Co-Authors with 152 Joint Publications 3,309 Co-Co-Authors
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### Co-Authors

 16 single-authored 15 Chadam, John M. 13 Qi, Yuanwei 12 Friedman, Avner 11 Guo, Jong-Shenq 11 Zhang, Yajing 10 Qin, Cong 9 Hao, Jianghao 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 Saunders, David Claude 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 Tsai, Je-Chiang 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 Liang, Jin 2 Logak, Elisabeth 2 Lou, Bendong 2 Ninomiya, Hirokazu 2 Oshita, Yoshihito 2 Sun, Bruce Qiang 2 Wang, Xuefeng 2 Wu, Yaping 2 Xu, Xianmin 2 Yi, Fahuai 2 Zhao, Jennifer Jing 1 Alian, A. R. 1 Betelú, Santiago I. 1 Bian, Baojun 1 Brochet, D. 1 Carrillo de la Plata, José Antonio 1 Chen, Zhixiong 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 Ghanem, Roger G. 1 Giletti, Thomas 1 Haile, S. R. 1 Hambrock, Richard 1 Hamel, François 1 Hong, Jiaxing 1 Hou, Thomas Yizhao 1 Huan, Xun 1 Huang, Chaocheng 1 Illner, Reinhard 1 Jiang, Xianyang 1 Jin, Shi 1 Kimura, Tsuyoshi 1 Lacaze, Guilhem 1 Landriault, David 1 Li, Bin 1 Li, Dongchen 1 Liang, Xing 1 Linden, Paul F. 1 Liu, Chun 1 Liu, Gui Rong 1 Liu, Guoqing 1 Lu, Guozhen 1 Matveev, Ivan A. 1 McLeod, John Bryce 1 Meguid, Shaker A. 1 Mimura, Masayasu 1 Najm, Habib N. 1 Namah, Gawtum 1 Oefelein, Joseph C. 1 Pond, Cody 1 Reitich, Fernando 1 Roquejoffre, Jean-Michel 1 Sadhu, Susmita 1 Safta, Cosmin ...and 26 more Co-Authors
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### Serials

 15 Journal of Differential Equations 15 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 5 Discrete and Continuous Dynamical Systems. Series B 5 SIAM Journal on Financial Mathematics 4 Communications in Partial Differential Equations 4 Interfaces and Free Boundaries 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Computational Physics 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 Fluid Mechanics 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 Analysis Mathematica 1 Computer Methods in Applied Mechanics and Engineering 1 Ukrainian Mathematical Journal 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 Computational Mechanics 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 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 Journal of Computer and Systems Sciences International 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 Engineering Analysis with Boundary Elements 1 Journal of Applied Statistics 1 European Journal of Mechanics. A. Solids 1 Stochastic Environmental Research and Risk Assessment 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

 134 Partial differential equations (35-XX) 30 Biology and other natural sciences (92-XX) 28 Ordinary differential equations (34-XX) 24 Fluid mechanics (76-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 Mechanics of deformable solids (74-XX) 12 Probability theory and stochastic processes (60-XX) 12 Numerical analysis (65-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Statistics (62-XX) 4 Integral equations (45-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-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

153 Publications have been cited 2,981 times in 2,061 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
Evolution of conditional dispersal: a reaction-diffusion-advection model. Zbl 1141.92040
Chen, Xinfu; Hambrock, Richard; Lou, Yuan
2008
Spectrum for the Allen-Cahn, Cahn-Hilliard, and phase-field equations for generic interfaces. Zbl 0811.35098
Chen, Xinfu
1994
Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060
Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq
2006
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
Finite dimensional exponential attractor for the phase field model. Zbl 0790.35052
Brochet, D.; Hilhorst, D.; Chen, Xinfu
1993
The Hele–Shaw problem and area-preserving curve-shortening motions. Zbl 0780.35117
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
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
2003
Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033
Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin
2008
Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024
Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu
2006
Dynamics of a reaction-diffusion-advection model for two competing species. Zbl 1258.35118
Chen, Xinfu; Lam, King-Yeung; Lou, Yuan
2012
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
Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling. Zbl 0761.35113
Chen, Xinfu; Reitich, Fernando
1992
Shooting method for vortex solutions of a complex-valued Ginzburg-Landau equation. Zbl 0816.34003
Chen, Xinfu; Elliott, Charles M.; Qi, Tang
1994
A mathematical analysis of the optimal exercise boundary for American put options. Zbl 1305.91227
2007
Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
2010
An application of the modular function in nonlocal variational problem. Zbl 1147.74024
Chen, Xinfu; Oshita, Yoshihito
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
Existence, uniqueness, and regularity of classical solutions of the Mullins-Sekerka problem. Zbl 0884.35177
Chen, Xinfu; Hong, Jiaxing; Yi, Fahuai
1996
Generation, propagation, and annihilation of metastable patterns. Zbl 1061.35014
Chen, Xinfu
2004
Maxwell’s equations in a periodic structure. Zbl 0727.35131
Chen, Xinfu; Friedman, Avner
1991
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
Periodicity and uniqueness of global minimizers of an energy functional containing a long-range interaction. Zbl 1114.49002
Chen, Xinfu; Oshita, Yoshihito
2006
Motion of a droplet by surface tension along the boundary. Zbl 0994.35052
Alikakos, Nicholas D.; Chen, Xinfu; Fusco, Giorgio
2000
Asymptotics for a parabolic double obstacle problem. Zbl 0814.35044
Chen, Xinfu; Elliott, Charles M.
1994
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
Generation and propagation of interfaces in reaction-diffusion systems. Zbl 0785.35006
Chen, Xinfu
1992
The Gierer $$\&$$ Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025
del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu
2001
Phase field equations in the singular limit of sharp interface problems. Zbl 0760.76094
Caginalp, Gunduz; Chen, Xinfu
1992
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
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
Lorenz equations. I: Existence and nonexistence of homoclinic orbits. Zbl 0861.34028
Chen, Xinfu
1996
Convergence of numerical solutions to the Allen-Cahn equation. Zbl 0992.65096
Chen, Xinfu; Elliott, Charlie M.; Gardiner, Andy; Zhao, Jennifer Jing
1998
A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166
Chen, Xinfu; Cui, Shangbin; Friedman, Avner
2005
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
Asymptotic behavior of solutions of an Allen-Cahn equation with a nonlocal term. Zbl 0883.35013
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
1997
Travelling waves of auto-catalytic chemical reaction of general order-an elliptic approach. Zbl 1180.34026
Chen, Xinfu; Qi, Yuanwei
2009
Propagation of local disturbances in reaction diffusion systems modeling quadratic autocatalysis. Zbl 1170.35454
Chen, Xinfu; Qi, Yuanwei
2008
Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Zbl 0863.35009
Chen, Xinfu; Kowalczyk, Michał
1996
On minimizing drawdown risks of lifetime investments. Zbl 1348.91249
Chen, Xinfu; Landriault, David; Li, Bin; Li, Dongchen
2015
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
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
Reconstructing potentials from zeros of one eigenfunction. Zbl 1232.34021
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
2011
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
2008
Layers and spikes in nonhomogeneous bistable reaction-diffusion equations. Zbl 1087.35007
Ai, Shangbing; Chen, Xinfu; Hastings, Stuart P.
2006
Analysis of an inverse first passage problem from risk management. Zbl 1127.60036
Cheng, Lan; Chen, Xinfu; Chadam, John; Saunders, David
2006
Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054
Chen, Xinfu; Guo, Jong-Shenq
2011
Self-similar singular solutions of a $$p$$-Laplacian evolution equation with absorption. Zbl 1028.34031
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2003
Longtime behavior of solutions of a SIS epidemiological model. Zbl 1378.35310
Chen, Xinfu; Tsai, Je-Chiang; Wu, Yaping
2017
Dynamics of an interior spike in the Gierer-Meinhardt system. Zbl 0993.35012
Chen, Xinfu; Kowalczyk, Michał
2001
Discontinuous solutions of steady state, viscous compressible Navier- Stokes equations. Zbl 0812.35093
Chen, Xinfu; Xie, Weiqing
1995
Interface conditions for a phase field model with anisotropic and non-local interactions. Zbl 1256.35209
Chen, Xinfu; Caginalp, Gunduz; Esenturk, Emre
2011
Transition fronts and localized structures in bistable reaction-diffusion equations. Zbl 0935.35069
Ermentrout, Bard; Chen, Xinfu; Chen, Zhixiong
1997
Traveling waves of a curvature flow in almost periodic media. Zbl 1182.35073
Lou, Bendong; Chen, Xinfu
2009
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
Global existence of solutions to the Proudman-Johnson equation. Zbl 0966.35002
Chen, Xinfu; Okamoto, Hisashi
2000
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
Effective boundary conditions resulting from anisotropic and optimally aligned coatings: the two dimensional case. Zbl 1376.80003
Chen, Xinfu; Pond, Cody; Wang, Xuefeng
2012
Characterization of optimal strategy for multiasset investment and consumption with transaction costs. Zbl 1283.91165
Chen, Xinfu; Dai, Min
2013
A rapidly converging phase field model. Zbl 1119.80009
Chen, Xinfu; Caginalp, Gunduz; Eck, Christof
2006
Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010
Chen, Xinfu; Guo, Jong-Shenq
2007
An efficient boundary integral method for the Mullins-Sekerka problem. Zbl 0879.65092
Zhu, Jingyi; Chen, Xinfu; Hou, Thomas Y.
1996
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
2011
Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025
Chen, Xinfu; Kowalczyk, Michał
2001
Effective contact angle for rough boundary. Zbl 1322.76013
Chen, Xinfu; Wang, Xiao-Ping; Xu, Xianmin
2013
Singular solutions of parabolic $$p$$-Laplacian with absorption. Zbl 1213.35267
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2007
Steady states of a strongly coupled prey-predator model. Zbl 1144.35470
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
2005
Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019
Chen, Xinfu; Hu, Bei
2008
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. Zbl 1475.35036
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu
2020
The thermistor problem for conductivity which vanishes at large temperature. Zbl 0803.35051
Chen, Xinfu; Friedman, Avner
1993
Existence and regularity of solutions of a nonlinear nonuniformly elliptic system arising from a thermistor problem. Zbl 0830.35045
Chen, Xinfu
1994
Nonstationary filtration in partially saturated porous media. Zbl 0818.76082
Chen, Xinfu; Friedman, Avner; Kimura, Tsuyoshi
1994
Long time behavior of solutions to $$p$$-Laplacian equation with absorption. Zbl 1047.35021
Chen, Xinfu; Qi, Y. W.; Wang, Mingxin
2003
Mullins-Sekerka motion of small droplets on a fixed boundary. Zbl 0984.35013
Alikakos, Nicholas D.; Bates, Peter W.; Chen, Xinfu; Fusco, Giorgio
2000
A Tikhonov regularization for the inverse nodal problem for $$p$$-Laplacian. Zbl 1253.34024
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
2012
Existence of traveling waves of auto-catalytic systems with decay. Zbl 1387.34070
Chen, Xinfu; Qi, Yuanwei; Zhang, Yajing
2016
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
Global existence of solutions to the generalized Proudman-Johnson equation. Zbl 1020.35002
Chen, Xinfu; Okamoto, Hisashi
2002
Self-motion of camphor discs: model and analysis. Zbl 1189.80044
Chen, Xinfu; Ei, Shin-Ichiro; Mimura, Masayasu
2009
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
2012
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
Numerical tests of a phase field model with second order accuracy. Zbl 1151.80006
Caginalp, Gunduz; Chen, Xinfu; Eck, Christof
2008
Well-posedness of a free boundary problem in the limit of slow-diffusion fast-reaction systems. Zbl 1095.35053
Chen, Xinfu; Gao, Congyu
2006
Traveling wave to non-KPP isothermal diffusion systems: existence of minimum speed and sharp bounds. Zbl 1411.35145
Chen, Xinfu; Qi, Yuanwei
2019
Infinitely many spike solutions for the Hénon equation with critical growth. Zbl 1323.35019
Hao, Jianghao; Chen, Xinfu; Zhang, Yajing
2015
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
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
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
High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. Zbl 1465.90095
Chen, X.; Toint, Ph. L.
2021
Topology optimization of flexoelectric composites using computational homogenization. Zbl 07414346
Chen, X.; Yvonnet, J.; Yao, S.; Park, H. S.
2021
Nonlinear ship motion with forward speed in waves based on 3D time domain hybrid Green function method. Zbl 1464.74329
Tang, K.; Wang, J. X.; Chen, X.; Jiang, D. P.; Li, Y. L.
2021
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. Zbl 1475.35036
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu
2020
Structure evolution at early stage of boundary-layer transition: simulation and experiment. Zbl 1460.76386
Jiang, X. Y.; Lee, C. B.; Chen, X.; Smith, C. R.; Linden, P. F.
2020
Boundary spike of the singular limit of an energy minimizing problem. Zbl 1437.35210
Chen, Xinfu; Jiang, Huiqiang; Liu, Guoqing
2020
Spreading speed in a farmers and hunter-gatherers model arising from Neolithic transition in Europe. Zbl 1450.35106
Chen, Xinfu; Tsai, Je-Chiang
2020
Traveling wave to non-KPP isothermal diffusion systems: existence of minimum speed and sharp bounds. Zbl 1411.35145
Chen, Xinfu; Qi, Yuanwei
2019
Entropy-based closure for probabilistic learning on manifolds. Zbl 1459.62239
Soize, C.; Ghanem, R.; Safta, C.; Huan, X.; Vane, Z. P.; Oefelein, J.; Lacaze, G.; Najm, H. N.; Tang, Q.; Chen, X.
2019
Utility maximization under trading constraints with discontinuous utility. Zbl 1411.91482
Bian, Baojun; Chen, Xinfu; Xu, Zuo Quan
2019
Numerical method for multi-alleles genetic drift problem. Zbl 1422.65193
Xu, Shixin; Chen, Xinfu; Liu, Chun; Yue, Xingye
2019
Hypersonic boundary layer transition on a concave wall: stationary Görtler vortices. Zbl 1415.76429
Chen, X.; Huang, G. L.; Lee, C. B.
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
Exponential decay of a thermoelastic system for a thin plate under periodic sunlight. Zbl 1406.35054
Hao, Jianghao; Chen, Xinfu
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
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
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
Spectral analysis for stability of bubble steady states of a Keller-Segel’s minimal chemotaxis model. Zbl 1366.35108
Zhang, Yajing; Chen, Xinfu; Hao, Jianghao; Lai, Xin; Qin, Cong
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 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
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
A 3-parameter Gompertz distribution for survival data with competing risks, with an application to breast cancer data. Zbl 07281614
Haile, S. R.; Jeong, J.-H.; Chen, X.; Cheng, Y.
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
Infinitely many spike solutions for the Hénon equation with critical growth. Zbl 1323.35019
Hao, Jianghao; Chen, Xinfu; Zhang, Yajing
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 spiky solutions for a Hénon type biharmonic equation with critical growth. Zbl 1353.35148
Hao, Jianghao; Zhang, Yajing; Chen, Xinfu
2015
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
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
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
Effective contact angle for rough boundary. Zbl 1322.76013
Chen, Xinfu; Wang, Xiao-Ping; Xu, Xianmin
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
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
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
Uniform asymptotic expansions of solutions of an inhomogeneous equation. Zbl 1365.34097
2012
Analytical and numerical results for an escape problem. Zbl 1253.60085
Caginalp, Carey; Chen, Xinfu
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
Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054
Chen, Xinfu; Guo, Jong-Shenq
2011
Interface conditions for a phase field model with anisotropic and non-local interactions. Zbl 1256.35209
Chen, Xinfu; Caginalp, Gunduz; Esenturk, Emre
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
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
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
Layers and spikes in nonhomogeneous bistable reaction-diffusion equations. Zbl 1087.35007
Ai, Shangbing; Chen, Xinfu; Hastings, Stuart P.
2006
Analysis of an inverse first passage problem from risk management. Zbl 1127.60036
Cheng, Lan; Chen, Xinfu; Chadam, John; Saunders, David
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
...and 53 more Documents
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### Cited by 2,151 Authors

 68 Li, Wan-Tong 58 Chen, Xinfu 35 Wei, Juncheng 35 Wu, Shiliang 33 Wang, Mingxin 29 Lou, Yuan 29 Miranville, Alain M. 25 Wang, Zhi Cheng 23 Guo, Jong-Shenq 20 Friedman, Avner 20 Rossi, Julio Daniel 20 Zhang, Guobao 20 Zhao, Xiao-Qiang 19 Shen, Wenxian 18 Hsu, Cheng-Hsiung 18 Lin, Guo 17 Hupkes, Hermen Jan 17 Lam, King-Yeung 17 Lin, Zhigui 16 Qi, Yuanwei 16 Ruan, Shigui 15 Du, Yihong 15 Hilhorst, Danielle 15 Wu, Changhong 14 Lou, Bendong 14 Sheng, WeiJie 14 Wang, Bixiang 14 Zhou, Maolin 13 Abels, Helmut 13 Ninomiya, Hirokazu 13 Peng, Rui 13 Wang, Jiabing 13 Ward, Michael J. 13 Xu, Zhaoquan 12 Ei, Shin-Ichiro 12 Hu, Bei 12 Yang, Yisong 12 Yu, Zhixian 12 Yuan, Rong 11 Bates, Peter W. 11 Han, Jongmin 11 Karali, Georgia D. 11 Kowalczyk, Michał 11 Li, Xiong 11 Matano, Hiroshi 11 Poláčik, Peter 11 Van Vleck, Erik S. 11 Zhou, Peng 10 Choe, Kwangseok 10 Hamel, François 10 Lee, Youngae 10 Li, Kun 10 Wu, Chin-Chin 9 Bao, Xiongxiong 9 Bretin, Elie 9 Coville, Jerome 9 Del Pino, Manuel A. 9 Feng, Zhaosheng 9 Moroşanu, Costică 9 Pan, Shuxia 9 Qin, Cong 9 Quintanilla de Latorre, Ramón 9 Ren, Xiaofeng 9 Tsai, Je-Chiang 9 Zhang, Yajing 9 Zhang, Zhengce 8 Kweon, Jae Ryong 8 Lin, Chang-Shou 8 Liu, Chun 8 Liu, NaiWei 8 Liu, Zuhan 8 Martínez, Salomé 8 Weng, Peixuan 8 Winter, Matthias 8 Wu, Hao 8 Xiao, Dongmei 8 Zhao, Caidi 7 Bo, Wei-Jian 7 Cheng, Hongmei 7 Cosner, Chris 7 Du, Qiang 7 Folino, Raffaele 7 Garcke, Harald 7 Grasselli, Maurizio 7 Lai, Xin 7 Liu, Shuang 7 Lv, Guangying 7 Morita, Yoshihisa 7 Novaga, Matteo 7 Promislow, Keith Steven 7 Rybka, Piotr 7 Trofimchuk, Sergei I. 7 Yi, Fahuai 6 Cantrell, Robert Stephen 6 Chen, Guangsheng 6 Cheng, Cuiping 6 Chmaj, Adam J. J. 6 Cortázar, Carmen 6 Dong, Fang-Di 6 Du, Lijun ...and 2,051 more Authors
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### Cited in 282 Serials

 226 Journal of Differential Equations 104 Journal of Mathematical Analysis and Applications 65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 64 Discrete and Continuous Dynamical Systems. Series B 59 Discrete and Continuous Dynamical Systems 59 Nonlinear Analysis. Real World Applications 48 Journal of Dynamics and Differential Equations 47 Archive for Rational Mechanics and Analysis 42 Physica D 41 Calculus of Variations and Partial Differential Equations 39 SIAM Journal on Mathematical Analysis 30 Journal of Computational Physics 29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 Applied Mathematics and Computation 27 Journal of Mathematical Biology 27 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Communications in Mathematical Physics 25 Applicable Analysis 23 Journal of Functional Analysis 23 Proceedings of the American Mathematical Society 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Japan Journal of Industrial and Applied Mathematics 21 Communications on Pure and Applied Analysis 19 Communications in Partial Differential Equations 18 Journal of Mathematical Physics 18 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 European Journal of Applied Mathematics 16 Transactions of the American Mathematical Society 16 Journal of Scientific Computing 16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 15 Computers & Mathematics with Applications 15 Mathematical Methods in the Applied Sciences 15 SIAM Journal on Applied Mathematics 14 Bulletin of Mathematical Biology 14 Applied Mathematics Letters 13 Journal of Statistical Physics 13 Journal of Computational and Applied Mathematics 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Communications in Nonlinear Science and Numerical Simulation 13 AIMS Mathematics 12 Mathematische Annalen 12 Journal of Nonlinear Science 12 Boundary Value Problems 12 Discrete and Continuous Dynamical Systems. Series S 12 Science China. Mathematics 11 Computer Methods in Applied Mechanics and Engineering 11 Nonlinearity 11 Journal of Difference Equations and Applications 11 Mathematical Biosciences and Engineering 10 Abstract and Applied Analysis 10 Advances in Difference Equations 9 Annali di Matematica Pura ed Applicata. Serie Quarta 8 SIAM Journal on Numerical Analysis 8 Mathematical and Computer Modelling 8 Taiwanese Journal of Mathematics 8 SIAM Journal on Applied Dynamical Systems 8 International Journal of Biomathematics 8 Journal of Theoretical Biology 7 Applied Mathematics and Optimization 7 Acta Applicandae Mathematicae 7 Asymptotic Analysis 7 Nonlinear Dynamics 7 Acta Mathematica Sinica. English Series 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Multiscale Modeling & Simulation 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Communications on Pure and Applied Mathematics 6 Mathematics of Computation 6 Advances in Mathematics 6 Quarterly of Applied Mathematics 6 Physics of Fluids 6 Journal of Mathematical Sciences (New York) 6 NoDEA. Nonlinear Differential Equations and Applications 6 Interfaces and Free Boundaries 6 Journal of Evolution Equations 6 SIAM Journal on Financial Mathematics 5 Letters in Mathematical Physics 5 Mathematical Biosciences 5 Chaos, Solitons and Fractals 5 Numerische Mathematik 5 Insurance Mathematics & Economics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Integral Equations and Applications 5 The Annals of Applied Probability 5 The Journal of Geometric Analysis 5 Applications of Mathematics 5 Electronic Journal of Differential Equations (EJDE) 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Journal of Biological Dynamics 5 Nonlinear Analysis. Theory, Methods & Applications 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Tôhoku Mathematical Journal. Second Series 4 Applied Mathematics and Mechanics. (English Edition) 4 Continuum Mechanics and Thermodynamics 4 Finance and Stochastics 4 Journal of Dynamical and Control Systems 4 Communications in Contemporary Mathematics 4 Journal of Applied Mathematics 4 Communications in Computational Physics 4 Journal of Applied Analysis and Computation ...and 182 more Serials
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### Cited in 47 Fields

 1,572 Partial differential equations (35-XX) 560 Biology and other natural sciences (92-XX) 259 Ordinary differential equations (34-XX) 189 Fluid mechanics (76-XX) 182 Numerical analysis (65-XX) 173 Dynamical systems and ergodic theory (37-XX) 122 Statistical mechanics, structure of matter (82-XX) 105 Classical thermodynamics, heat transfer (80-XX) 100 Probability theory and stochastic processes (60-XX) 90 Integral equations (45-XX) 79 Mechanics of deformable solids (74-XX) 78 Differential geometry (53-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 75 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 64 Global analysis, analysis on manifolds (58-XX) 53 Operator theory (47-XX) 35 Quantum theory (81-XX) 30 Difference and functional equations (39-XX) 25 Optics, electromagnetic theory (78-XX) 24 Systems theory; control (93-XX) 12 Mechanics of particles and systems (70-XX) 9 Functional analysis (46-XX) 9 Relativity and gravitational theory (83-XX) 9 Operations research, mathematical programming (90-XX) 8 Potential theory (31-XX) 8 Approximations and expansions (41-XX) 4 Number theory (11-XX) 4 Measure and integration (28-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX)