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Author ID: chen.xinfu Recent zbMATH articles by "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
all top 5

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
all top 5

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

Publications by Year

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
250
1997
Generation and propagation of interfaces for reaction-diffusion equations. Zbl 0765.35024
Chen, Xinfu
142
1992
Convergence of the Cahn-Hilliard equation to the Hele-Shaw model. Zbl 0828.35105
Alikakos, Nicholas D.; Bates, Peter W.; Chen, Xinfu
126
1994
Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. Zbl 1010.39004
Chen, Xinfu; Guo, Jong-Shenq
116
2002
Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Zbl 1086.34011
Chen, Xinfu; Guo, Jong-Shenq
107
2003
Traveling waves of bistable dynamics on a lattice. Zbl 1050.37041
Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J.
85
2003
Periodic traveling waves and locating oscillating patterns in multidimensional domains. Zbl 0929.35067
Alikakos, Nicholas D.; Bates, Peter W.; Chen, Xinfu
85
1999
A free boundary problem arising in a model of wound healing. Zbl 0972.35193
Chen, Xinfu; Friedman, Avner
85
2000
Existence and uniqueness of entire solutions for a reaction-diffusion equation. Zbl 1079.35046
Chen, Xinfu; Guo, Jong-Shenq
71
2005
Convergence of the phase field model to its sharp interface limits. Zbl 0930.35024
Caginalp, Gunduz; Chen, Xinfu
69
1998
Evolution of conditional dispersal: a reaction-diffusion-advection model. Zbl 1141.92040
Chen, Xinfu; Hambrock, Richard; Lou, Yuan
69
2008
Spectrum for the Allen-Cahn, Cahn-Hilliard, and phase-field equations for generic interfaces. Zbl 0811.35098
Chen, Xinfu
61
1994
Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060
Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq
61
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
60
2008
Finite dimensional exponential attractor for the phase field model. Zbl 0790.35052
Brochet, D.; Hilhorst, D.; Chen, Xinfu
57
1993
The Hele–Shaw problem and area-preserving curve-shortening motions. Zbl 0780.35117
Chen, Xinfu
56
1993
Global asymptotic limit of solutions of the Cahn-Hilliard equation. Zbl 0874.35045
Chen, Xinfu
55
1996
A nonlinear elliptic equation arising from gauge field theory and cosmology. Zbl 0813.35015
Chen, Xinfu; Hastings, Stuart; McLeod, J. Bryce; Yang, Yisong
54
1994
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
53
2003
Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033
Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin
44
2008
Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024
Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu
43
2006
Dynamics of a reaction-diffusion-advection model for two competing species. Zbl 1258.35118
Chen, Xinfu; Lam, King-Yeung; Lou, Yuan
41
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
41
2007
Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling. Zbl 0761.35113
Chen, Xinfu; Reitich, Fernando
37
1992
Shooting method for vortex solutions of a complex-valued Ginzburg-Landau equation. Zbl 0816.34003
Chen, Xinfu; Elliott, Charles M.; Qi, Tang
35
1994
A mathematical analysis of the optimal exercise boundary for American put options. Zbl 1305.91227
Chen, Xinfu; Chadam, John
34
2007
Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
33
2010
An application of the modular function in nonlocal variational problem. Zbl 1147.74024
Chen, Xinfu; Oshita, Yoshihito
32
2007
Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications. Zbl 1316.35218
Chen, Xinfu; Lou, Yuan
31
2012
Existence, uniqueness, and regularity of classical solutions of the Mullins-Sekerka problem. Zbl 0884.35177
Chen, Xinfu; Hong, Jiaxing; Yi, Fahuai
29
1996
Generation, propagation, and annihilation of metastable patterns. Zbl 1061.35014
Chen, Xinfu
29
2004
Maxwell’s equations in a periodic structure. Zbl 0727.35131
Chen, Xinfu; Friedman, Avner
27
1991
A strongly coupled predator-prey system with non-monotonic functional response. Zbl 1387.35184
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
27
2007
Sharp estimates on minimum travelling wave speed of reaction diffusion systems modelling auto-catalysis. Zbl 1360.34065
Chen, Xinfu; Qi, Yuanwei
26
2007
Periodicity and uniqueness of global minimizers of an energy functional containing a long-range interaction. Zbl 1114.49002
Chen, Xinfu; Oshita, Yoshihito
25
2006
Motion of a droplet by surface tension along the boundary. Zbl 0994.35052
Alikakos, Nicholas D.; Chen, Xinfu; Fusco, Giorgio
25
2000
Asymptotics for a parabolic double obstacle problem. Zbl 0814.35044
Chen, Xinfu; Elliott, Charles M.
23
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.
23
2005
Generation and propagation of interfaces in reaction-diffusion systems. Zbl 0785.35006
Chen, Xinfu
21
1992
The Gierer \(\&\) Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025
del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu
21
2001
Phase field equations in the singular limit of sharp interface problems. Zbl 0760.76094
Caginalp, Gunduz; Chen, Xinfu
20
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
20
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
19
2008
Lorenz equations. I: Existence and nonexistence of homoclinic orbits. Zbl 0861.34028
Chen, Xinfu
19
1996
Convergence of numerical solutions to the Allen-Cahn equation. Zbl 0992.65096
Chen, Xinfu; Elliott, Charlie M.; Gardiner, Andy; Zhao, Jennifer Jing
18
1998
A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166
Chen, Xinfu; Cui, Shangbin; Friedman, Avner
17
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.
17
2007
Asymptotic behavior of solutions of an Allen-Cahn equation with a nonlocal term. Zbl 0883.35013
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
16
1997
Travelling waves of auto-catalytic chemical reaction of general order-an elliptic approach. Zbl 1180.34026
Chen, Xinfu; Qi, Yuanwei
14
2009
Propagation of local disturbances in reaction diffusion systems modeling quadratic autocatalysis. Zbl 1170.35454
Chen, Xinfu; Qi, Yuanwei
14
2008
Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Zbl 0863.35009
Chen, Xinfu; Kowalczyk, Michał
13
1996
On minimizing drawdown risks of lifetime investments. Zbl 1348.91249
Chen, Xinfu; Landriault, David; Li, Bin; Li, Dongchen
13
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
13
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
13
2014
Reconstructing potentials from zeros of one eigenfunction. Zbl 1232.34021
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
13
2011
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
12
2008
Layers and spikes in nonhomogeneous bistable reaction-diffusion equations. Zbl 1087.35007
Ai, Shangbing; Chen, Xinfu; Hastings, Stuart P.
12
2006
Analysis of an inverse first passage problem from risk management. Zbl 1127.60036
Cheng, Lan; Chen, Xinfu; Chadam, John; Saunders, David
11
2006
Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054
Chen, Xinfu; Guo, Jong-Shenq
11
2011
Self-similar singular solutions of a \(p\)-Laplacian evolution equation with absorption. Zbl 1028.34031
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
10
2003
Longtime behavior of solutions of a SIS epidemiological model. Zbl 1378.35310
Chen, Xinfu; Tsai, Je-Chiang; Wu, Yaping
10
2017
Dynamics of an interior spike in the Gierer-Meinhardt system. Zbl 0993.35012
Chen, Xinfu; Kowalczyk, Michał
10
2001
Discontinuous solutions of steady state, viscous compressible Navier- Stokes equations. Zbl 0812.35093
Chen, Xinfu; Xie, Weiqing
9
1995
Interface conditions for a phase field model with anisotropic and non-local interactions. Zbl 1256.35209
Chen, Xinfu; Caginalp, Gunduz; Esenturk, Emre
9
2011
Transition fronts and localized structures in bistable reaction-diffusion equations. Zbl 0935.35069
Ermentrout, Bard; Chen, Xinfu; Chen, Zhixiong
9
1997
Traveling waves of a curvature flow in almost periodic media. Zbl 1182.35073
Lou, Bendong; Chen, Xinfu
9
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
9
2016
Global existence of solutions to the Proudman-Johnson equation. Zbl 0966.35002
Chen, Xinfu; Okamoto, Hisashi
9
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
8
2011
Effective boundary conditions resulting from anisotropic and optimally aligned coatings: the two dimensional case. Zbl 1376.80003
Chen, Xinfu; Pond, Cody; Wang, Xuefeng
8
2012
Characterization of optimal strategy for multiasset investment and consumption with transaction costs. Zbl 1283.91165
Chen, Xinfu; Dai, Min
8
2013
A rapidly converging phase field model. Zbl 1119.80009
Chen, Xinfu; Caginalp, Gunduz; Eck, Christof
8
2006
Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010
Chen, Xinfu; Guo, Jong-Shenq
8
2007
An efficient boundary integral method for the Mullins-Sekerka problem. Zbl 0879.65092
Zhu, Jingyi; Chen, Xinfu; Hou, Thomas Y.
7
1996
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
7
2011
Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025
Chen, Xinfu; Kowalczyk, Michał
7
2001
Effective contact angle for rough boundary. Zbl 1322.76013
Chen, Xinfu; Wang, Xiao-Ping; Xu, Xianmin
7
2013
Singular solutions of parabolic \(p\)-Laplacian with absorption. Zbl 1213.35267
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
7
2007
Steady states of a strongly coupled prey-predator model. Zbl 1144.35470
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
7
2005
Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019
Chen, Xinfu; Hu, Bei
7
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
7
2020
The thermistor problem for conductivity which vanishes at large temperature. Zbl 0803.35051
Chen, Xinfu; Friedman, Avner
6
1993
Existence and regularity of solutions of a nonlinear nonuniformly elliptic system arising from a thermistor problem. Zbl 0830.35045
Chen, Xinfu
6
1994
Nonstationary filtration in partially saturated porous media. Zbl 0818.76082
Chen, Xinfu; Friedman, Avner; Kimura, Tsuyoshi
6
1994
Long time behavior of solutions to \(p\)-Laplacian equation with absorption. Zbl 1047.35021
Chen, Xinfu; Qi, Y. W.; Wang, Mingxin
6
2003
Mullins-Sekerka motion of small droplets on a fixed boundary. Zbl 0984.35013
Alikakos, Nicholas D.; Bates, Peter W.; Chen, Xinfu; Fusco, Giorgio
6
2000
A Tikhonov regularization for the inverse nodal problem for \(p\)-Laplacian. Zbl 1253.34024
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
6
2012
Existence of traveling waves of auto-catalytic systems with decay. Zbl 1387.34070
Chen, Xinfu; Qi, Yuanwei; Zhang, Yajing
6
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
5
2017
Global existence of solutions to the generalized Proudman-Johnson equation. Zbl 1020.35002
Chen, Xinfu; Okamoto, Hisashi
5
2002
Self-motion of camphor discs: model and analysis. Zbl 1189.80044
Chen, Xinfu; Ei, Shin-Ichiro; Mimura, Masayasu
5
2009
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
5
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
5
2013
Numerical tests of a phase field model with second order accuracy. Zbl 1151.80006
Caginalp, Gunduz; Chen, Xinfu; Eck, Christof
5
2008
Well-posedness of a free boundary problem in the limit of slow-diffusion fast-reaction systems. Zbl 1095.35053
Chen, Xinfu; Gao, Congyu
5
2006
Traveling wave to non-KPP isothermal diffusion systems: existence of minimum speed and sharp bounds. Zbl 1411.35145
Chen, Xinfu; Qi, Yuanwei
5
2019
Infinitely many spike solutions for the Hénon equation with critical growth. Zbl 1323.35019
Hao, Jianghao; Chen, Xinfu; Zhang, Yajing
5
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
5
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
5
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
4
2017
High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. Zbl 1465.90095
Chen, X.; Toint, Ph. L.
1
2021
Topology optimization of flexoelectric composites using computational homogenization. Zbl 07414346
Chen, X.; Yvonnet, J.; Yao, S.; Park, H. S.
1
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.
1
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
7
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.
3
2020
Boundary spike of the singular limit of an energy minimizing problem. Zbl 1437.35210
Chen, Xinfu; Jiang, Huiqiang; Liu, Guoqing
2
2020
Spreading speed in a farmers and hunter-gatherers model arising from Neolithic transition in Europe. Zbl 1450.35106
Chen, Xinfu; Tsai, Je-Chiang
2
2020
Traveling wave to non-KPP isothermal diffusion systems: existence of minimum speed and sharp bounds. Zbl 1411.35145
Chen, Xinfu; Qi, Yuanwei
5
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.
1
2019
Utility maximization under trading constraints with discontinuous utility. Zbl 1411.91482
Bian, Baojun; Chen, Xinfu; Xu, Zuo Quan
1
2019
Numerical method for multi-alleles genetic drift problem. Zbl 1422.65193
Xu, Shixin; Chen, Xinfu; Liu, Chun; Yue, Xingye
1
2019
Hypersonic boundary layer transition on a concave wall: stationary Görtler vortices. Zbl 1415.76429
Chen, X.; Huang, G. L.; Lee, C. B.
1
2019
Existence of traveling waves of general Gray-Scott models. Zbl 1439.34033
Zheng, Zhi; Chen, Xinfu; Qi, Yuanwei; Zhou, Shulin
3
2018
A variational inequality arising from optimal exercise perpetual executive stock options. Zbl 1401.91534
Lai, Xin; Chen, Xinfu; Qin, Cong; Yu, Wanghui
2
2018
Exponential decay of a thermoelastic system for a thin plate under periodic sunlight. Zbl 1406.35054
Hao, Jianghao; Chen, Xinfu
2
2018
Longtime behavior of solutions of a SIS epidemiological model. Zbl 1378.35310
Chen, Xinfu; Tsai, Je-Chiang; Wu, Yaping
10
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
5
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
4
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
3
2017
Traveling pulses in a nonlocal equation arising near a saddle-node infinite cycle bifurcation. Zbl 1383.92014
Chen, Xinfu; Ermentrout, Bard
1
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
1
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
9
2016
Existence of traveling waves of auto-catalytic systems with decay. Zbl 1387.34070
Chen, Xinfu; Qi, Yuanwei; Zhang, Yajing
6
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
5
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
5
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.
3
2016
Convergence rate of free boundary of numerical scheme for American option. Zbl 1410.91479
Chen, Xinfu; Hu, Bei; Liang, Jin; Zhang, Yajing
1
2016
On minimizing drawdown risks of lifetime investments. Zbl 1348.91249
Chen, Xinfu; Landriault, David; Li, Bin; Li, Dongchen
13
2015
Infinitely many spike solutions for the Hénon equation with critical growth. Zbl 1323.35019
Hao, Jianghao; Chen, Xinfu; Zhang, Yajing
5
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
4
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
3
2015
Infinitely many spiky solutions for a Hénon type biharmonic equation with critical growth. Zbl 1353.35148
Hao, Jianghao; Zhang, Yajing; Chen, Xinfu
2
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
13
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
13
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
4
2014
Corrigendum: “Dynamics of a reaction-diffusion-advection model for two competing species”. Zbl 1303.35046
Chen, Xinfu; Lam, King-Yeung; Lou, Yuan
1
2014
Characterization of optimal strategy for multiasset investment and consumption with transaction costs. Zbl 1283.91165
Chen, Xinfu; Dai, Min
8
2013
Effective contact angle for rough boundary. Zbl 1322.76013
Chen, Xinfu; Wang, Xiao-Ping; Xu, Xianmin
7
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
5
2013
Effects of white noise in multistable dynamics. Zbl 1306.37052
Chen, Xinfu; Caginalp, Carey; Hao, Jianghao; Zhang, Yajing
1
2013
Dynamics of a reaction-diffusion-advection model for two competing species. Zbl 1258.35118
Chen, Xinfu; Lam, King-Yeung; Lou, Yuan
41
2012
Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications. Zbl 1316.35218
Chen, Xinfu; Lou, Yuan
31
2012
Effective boundary conditions resulting from anisotropic and optimally aligned coatings: the two dimensional case. Zbl 1376.80003
Chen, Xinfu; Pond, Cody; Wang, Xuefeng
8
2012
A Tikhonov regularization for the inverse nodal problem for \(p\)-Laplacian. Zbl 1253.34024
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
6
2012
Dead-core rates for the porous medium equation with a strong absorption. Zbl 1250.35128
Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei
5
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
3
2012
Uniform asymptotic expansions of solutions of an inhomogeneous equation. Zbl 1365.34097
Chen, Xinfu; Sadhu, Susmita
3
2012
Analytical and numerical results for an escape problem. Zbl 1253.60085
Caginalp, Carey; Chen, Xinfu
3
2012
Traveling waves of a non-local conservation law. Zbl 1274.35230
Chen, Xinfu; Jiang, Huiqiang
1
2012
Reconstructing potentials from zeros of one eigenfunction. Zbl 1232.34021
Chen, Xinfu; Cheng, Y. H.; Law, C. K.
13
2011
Motion by curvature of planar curves with end points moving freely on a line. Zbl 1232.53054
Chen, Xinfu; Guo, Jong-Shenq
11
2011
Interface conditions for a phase field model with anisotropic and non-local interactions. Zbl 1256.35209
Chen, Xinfu; Caginalp, Gunduz; Esenturk, Emre
9
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
8
2011
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
7
2011
Far-from-expiry behavior of the American put option on a dividend-paying asset. Zbl 1210.35303
Chen, Xinfu; Cheng, Huibin; Chadam, John
1
2011
Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
33
2010
Travelling waves of auto-catalytic chemical reaction of general order-an elliptic approach. Zbl 1180.34026
Chen, Xinfu; Qi, Yuanwei
14
2009
Traveling waves of a curvature flow in almost periodic media. Zbl 1182.35073
Lou, Bendong; Chen, Xinfu
9
2009
Self-motion of camphor discs: model and analysis. Zbl 1189.80044
Chen, Xinfu; Ei, Shin-Ichiro; Mimura, Masayasu
5
2009
Multistage scenario-based interval-stochastic programming for planning water resources allocation. Zbl 1418.90183
Li, Y. P.; Huang, G. H.; Chen, X.
2
2009
Evolution of conditional dispersal: a reaction-diffusion-advection model. Zbl 1141.92040
Chen, Xinfu; Hambrock, Richard; Lou, Yuan
69
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
60
2008
Traveling waves in discrete periodic media for bistable dynamics. Zbl 1152.37033
Chen, Xinfu; Guo, Jong-Shenq; Wu, Chin-Chin
44
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
19
2008
Propagation of local disturbances in reaction diffusion systems modeling quadratic autocatalysis. Zbl 1170.35454
Chen, Xinfu; Qi, Yuanwei
14
2008
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
12
2008
Viscosity solutions of discontinuous Hamilton-Jacobi equations. Zbl 1162.35019
Chen, Xinfu; Hu, Bei
7
2008
Numerical tests of a phase field model with second order accuracy. Zbl 1151.80006
Caginalp, Gunduz; Chen, Xinfu; Eck, Christof
5
2008
A parabolic-hyperbolic quasilinear system. Zbl 1158.35004
Chen, Xinfu; Friedman, Avner; Hu, Bei
2
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
41
2007
A mathematical analysis of the optimal exercise boundary for American put options. Zbl 1305.91227
Chen, Xinfu; Chadam, John
34
2007
An application of the modular function in nonlocal variational problem. Zbl 1147.74024
Chen, Xinfu; Oshita, Yoshihito
32
2007
A strongly coupled predator-prey system with non-monotonic functional response. Zbl 1387.35184
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
27
2007
Sharp estimates on minimum travelling wave speed of reaction diffusion systems modelling auto-catalysis. Zbl 1360.34065
Chen, Xinfu; Qi, Yuanwei
26
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.
17
2007
Self-similar solutions of a 2-D multiple-phase curvature flow. Zbl 1113.74010
Chen, Xinfu; Guo, Jong-Shenq
8
2007
Singular solutions of parabolic \(p\)-Laplacian with absorption. Zbl 1213.35267
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
7
2007
Optimal payment of mortgages. Zbl 1216.91030
Xie, Dejun; Chen, Xinfu; Chadam, John
2
2007
Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices. Zbl 1117.34060
Chen, Xinfu; Fu, Sheng-Chen; Guo, Jong-Shenq
61
2006
Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities. Zbl 1123.35024
Chen, Xinfu; Guo, Jong-Shenq; Ninomiya, Hirokazu
43
2006
Periodicity and uniqueness of global minimizers of an energy functional containing a long-range interaction. Zbl 1114.49002
Chen, Xinfu; Oshita, Yoshihito
25
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
20
2006
Layers and spikes in nonhomogeneous bistable reaction-diffusion equations. Zbl 1087.35007
Ai, Shangbing; Chen, Xinfu; Hastings, Stuart P.
12
2006
Analysis of an inverse first passage problem from risk management. Zbl 1127.60036
Cheng, Lan; Chen, Xinfu; Chadam, John; Saunders, David
11
2006
A rapidly converging phase field model. Zbl 1119.80009
Chen, Xinfu; Caginalp, Gunduz; Eck, Christof
8
2006
Well-posedness of a free boundary problem in the limit of slow-diffusion fast-reaction systems. Zbl 1095.35053
Chen, Xinfu; Gao, Congyu
5
2006
Existence and uniqueness of entire solutions for a reaction-diffusion equation. Zbl 1079.35046
Chen, Xinfu; Guo, Jong-Shenq
71
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.
23
2005
A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166
Chen, Xinfu; Cui, Shangbin; Friedman, Avner
17
2005
Steady states of a strongly coupled prey-predator model. Zbl 1144.35470
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
7
2005
Classification of singular solutions of porous media equations with absorption. Zbl 1084.35035
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
3
2005
Generation, propagation, and annihilation of metastable patterns. Zbl 1061.35014
Chen, Xinfu
29
2004
Finite-range repulsive systems of finitely many particles. Zbl 1057.70007
Chen, Xinfu; Illner, Reinhard
3
2004
Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Zbl 1086.34011
Chen, Xinfu; Guo, Jong-Shenq
107
2003
Traveling waves of bistable dynamics on a lattice. Zbl 1050.37041
Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J.
85
2003
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
53
2003
Self-similar singular solutions of a \(p\)-Laplacian evolution equation with absorption. Zbl 1028.34031
Chen, Xinfu; Qi, Yuanwei; Wang, Mingxin
10
2003
Long time behavior of solutions to \(p\)-Laplacian equation with absorption. Zbl 1047.35021
Chen, Xinfu; Qi, Y. W.; Wang, Mingxin
6
2003
Analytical and numerical approximations for the early exercise boundary for American put options. Zbl 1122.91326
Chen, Xinfu; Chadam, John
3
2003
Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. Zbl 1010.39004
Chen, Xinfu; Guo, Jong-Shenq
116
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)
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1 Manifolds and cell complexes (57-XX)

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