## Winter, Matthias

Compute Distance To:
 Author ID: winter.matthias Published as: Winter, Matthias; Winter, M.
 Documents Indexed: 68 Publications since 1986, including 2 Books Co-Authors: 16 Co-Authors with 54 Joint Publications 748 Co-Co-Authors
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### Co-Authors

 6 single-authored 51 Wei, Juncheng 3 Ao, Weiwei 2 Everson, Richard M. 2 Norbury, John W. 2 Sirovich, Lawrence 2 Tse, Wang Hung 2 Wall, Wolfgang A. 1 Ager, C. 1 Ball, John MacLeod 1 Barber, Tracie J. 1 Berestycki, Henri 1 Durst, Franz 1 Gui, Changfeng 1 Gumel, Abba B. 1 Hussaini, Nafiu 1 Iron, David 1 Kolokolnikov, Theodore 1 Maini, Philip Kumar 1 Manin, D. 1 Massing, André 1 Peng, Yunjie 1 Ren, Xiaofeng 1 Schönung, B. 1 Selanger, K. 1 Taheri, Ali 1 Xu, Lihu 1 Yang, Wen 1 Yeung, Wai-Kong 1 Zhai, Jianliang 1 Zhang, Tusheng S.
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### Serials

 5 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 4 Journal of Mathematical Biology 4 Calculus of Variations and Partial Differential Equations 3 European Journal of Applied Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 AIAA Journal 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Journal of the Operational Research Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 Methods and Applications of Analysis 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Asymptotic Analysis 1 Differential and Integral Equations 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Chaos 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Medicine and Biology 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Applied Mathematical Sciences
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### Fields

 52 Partial differential equations (35-XX) 25 Biology and other natural sciences (92-XX) 8 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

62 Publications have been cited 879 times in 474 Documents Cited by Year
Strongly interacting bumps for the Schrödinger-Newton equations. Zbl 1189.81061
Wei, Juncheng; Winter, Matthias
2009
Multiple boundary peak solutions for some singularly perturbed Neumann problems. Zbl 0944.35020
Gui, Changfeng; Wei, Juncheng; Winter, Matthias
2000
Stationary solutions for the Cahn-Hilliard equation. Zbl 0910.35049
Wei, Juncheng; Winter, Matthias
1998
Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case. Zbl 1042.35005
Wei, Juncheng; Winter, Matthias
2002
Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345
Wei, J.; Winter, M.
2001
Stability analysis of Turing patterns generated by the Schnakenberg model. Zbl 1057.92011
Iron, David; Wei, Juncheng; Winter, Matthias
2004
Mathematical aspects of pattern formation in biological systems. Zbl 1295.92013
Wei, Juncheng; Winter, Matthias
2014
Stationary multiple spots for reaction-diffusion systems. Zbl 1141.92007
Wei, Juncheng; Winter, Matthias
2008
On the two-dimensional Gierer-Meinhardt system with strong coupling. Zbl 0955.35006
Wei, Juncheng; Winter, Matthias
1999
Existence and stability of multiple-spot solutions for the Gray-Scott model in $$\mathbb{R}^2$$. Zbl 1014.37036
Wei, Juncheng; Winter, Matthias
2003
Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in $$\mathbb R^1$$. Zbl 1195.35033
Wei, Juncheng; Winter, Matthias
2007
Asymmetric spotty patterns for the Gray-Scott model in $$\mathbb{R}^2$$. Zbl 1141.35401
Wei, Juncheng; Winter, Matthias
2003
Existence and stability analysis of asymmetric patterns for the Gierer–Meinhardt system. Zbl 1107.35049
Wei, Juncheng; Winter, Matthias
2004
Flow-distributed spikes for Schnakenberg kinetics. Zbl 1284.35233
Wei, Juncheng; Winter, Matthias
2012
Existence of symmetric and asymmetric spikes for a crime hotspot model. Zbl 1347.34035
Berestycki, Henri; Wei, Juncheng; Winter, Matthias
2014
On the Gierer-Meinhardt system with precursors. Zbl 1197.35024
Wei, Juncheng; Winter, Matthias
2009
Stable spike clusters for the one-dimensional Gierer-Meinhardt system. Zbl 1386.35165
Wei, Juncheng; Winter, Matthias
2017
Qualitative assessment of the role of public health education program on HIV transmission dynamics. Zbl 1223.92055
Hussaini, N.; Winter, M.; Gumel, A. B.
2011
Clustered spots in the FitzHugh-Nagumo system. Zbl 1330.35022
Wei, Juncheng; Winter, Matthias
2005
Symmetry of nodal solutions for singularly perturbed elliptic problems on a ball. Zbl 1185.35106
Wei, Juncheng; Winter, Matthias
2005
On the Gierer-Meinhardt system with saturation. Zbl 1066.35023
Wei, Juncheng; Winter, Matthias
2004
Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field. Zbl 1021.35010
Norbury, John; Wei, Juncheng; Winter, Matthias
2002
Critical threshold and stability of cluster solutions for large reaction-diffusion systems in $$\mathbb{R}^1$$. Zbl 1019.35014
Wei, Juncheng; Winter, Matthias
2002
Multi-peak solutions for a wide class of singular perturbation problems. Zbl 0922.35025
Winter, Matthias; Wei, Juncheng
1999
On the stationary Cahn-Hilliard equation: Interior spike solutions. Zbl 0965.35070
Wei, Juncheng; Winter, Matthias
1998
Stability of spikes in the shadow Gierer-Meinhardt system with robin boundary conditions. Zbl 1163.37348
Maini, Philip K.; Wei, Juncheng; Winter, Matthias
2007
The dynamics of the stochastic shadow Gierer-Meinhardt system. Zbl 1337.60139
Winter, Matthias; Xu, Lihu; Zhai, Jianliang; Zhang, Tusheng
2016
On the stationary Cahn-Hilliard equation: bubble solutions. Zbl 0918.35023
Wei, Juncheng; Winter, Matthias
1998
A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions. Zbl 1439.76102
Winter, M.; Schott, B.; Massing, A.; Wall, W. A.
2018
Spikes for the Gierer-Meinhardt system with discontinuous diffusion coefficients. Zbl 1183.35021
Wei, Juncheng; Winter, Matthias
2009
Stable spike clusters for the precursor Gierer-Meinhardt system in $$\mathbb {R}^2$$. Zbl 1386.35166
Wei, Juncheng; Winter, Matthias; Yang, Wen
2017
Stability of cluster solutions in a cooperative consumer chain model. Zbl 1286.35034
Wei, Juncheng; Winter, Matthias
2014
Process and content: two ways of using SSM. Zbl 1123.90053
Checkland, P.; Winter, M.
2006
The Gierer-Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green’s function. Zbl 1204.58026
Tse, Wang Hung; Wei, Juncheng; Winter, Matthias
2010
Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry. Zbl 1251.35010
Wei, Juncheng; Winter, Matthias
2006
Symmetric and asymmetric multiple clusters in a reaction-diffusion system. Zbl 1137.34318
Wei, Juncheng; Winter, Matthias
2007
A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates. Zbl 1065.35041
Wei, Juncheng; Winter, Matthias
2003
Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks. Zbl 0952.35029
Wei, Juncheng; Winter, Matthias
2000
On a two-dimensional reaction-diffusion system with hypercyclical structure. Zbl 0979.35075
Wei, Juncheng; Winter, Matthias
2000
Local minimizers in micromagnetics and related problems. Zbl 1005.49002
Ball, J. M.; Taheri, A.; Winter, M.
2002
Existence and stability analysis of spiky solutions for the Gierer-Meinhardt system with large reaction rates. Zbl 1179.37120
Kolokolnikov, Theodore; Wei, Juncheng; Winter, Matthias
2009
On a cubic-quintic Ginzburg-Landau equation with global coupling. Zbl 1058.35035
Wei, Juncheng; Winter, Matthias
2005
Stability of spiky solutions in a reaction-diffusion system with four morphogens on the real line. Zbl 1225.35025
Wei, Juncheng; Winter, Matthias
2010
Bubble-driven liquid flows. Zbl 0606.76115
Durst, F.; Schönung, B.; Selanger, K.; Winter, M.
1986
On asymptotics with respect to time of higher order wave equations with variable coefficients and time-independent or time-harmonic excitation. (Zur Zeitasymptotik für eine Klasse von Wellengleichungen höherer Ordnung mit variablen Koeffizienten und zeitunabhängiger oder zeitharmonischer Anregung.) Zbl 0850.35056
Winter, Matthias
1993
Young measures in a nonlocal phase transition problem. Zbl 0912.49001
Ren, Xiaofeng; Winter, Matthias
1997
On a hypercycle system with nonlinear rate. Zbl 1011.35077
Wei, Juncheng; Winter, Matthias
2001
A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity. Zbl 1441.76119
Ager, C.; Schott, B.; Winter, M.; Wall, W. A.
2019
Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system. Zbl 1406.35023
Ao, Weiwei; Wei, Juncheng; Winter, Matthias
2019
Mutually exclusive spiky pattern and segmentation modeled by the five-component Meinhardt-Gierer system. Zbl 1170.35049
Wei, Juncheng; Winter, Matthias
2008
Existence and stability of a spike in the central component for a consumer chain model. Zbl 1375.35247
Wei, Juncheng; Winter, Matthias
2015
Higher-order energy expansions and spike locations. Zbl 1154.35353
Wei, Juncheng; Winter, Matthias
2004
Problem structuring in project management: an application of soft systems methodology (SSM). Zbl 1103.90382
Winter, M.
2006
Lavrentiev phenomenon in microstructure theory. Zbl 0853.49019
Winter, Matthias
1996
An example of microstructure with multiple scales. Zbl 0871.49004
Winter, Matthias
1997
Stability of monotone solutions for the shadow Gierer-Meinhardt system with finite diffusivity. Zbl 1074.35017
Wei, Juncheng; Winter, Matthias
2003
Large time asymptotics for a class of wave equations of higher order with a variable coefficient and time-independent incitation. Zbl 0814.35068
Winter, Matthias
1995
Solutions for the Cahn-Hilliard equation with many boundary spike layers. Zbl 1038.35021
Wei, Juncheng; Winter, Matthias
2001
Higher order energy expansions for some singularly perturbed Neumann problems. Zbl 1084.35023
Wei, Juncheng; Winter, Matthias
2003
Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field. Zbl 1146.35012
Norbury, J.; Wei, J.; Winter, M.
2007
Eigenfunction analysis of turbulent mixing phenomena. Zbl 0759.76035
Winter, M.; Barber, T. J.; Everson, R. M.; Sirovich, L.
1992
Quantification of mixing and mixing rate from experimental observations. Zbl 0900.76724
Everson, R.; Manin, D.; Sirovich, L.; Winter, M.
1998
A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity. Zbl 1441.76119
Ager, C.; Schott, B.; Winter, M.; Wall, W. A.
2019
Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system. Zbl 1406.35023
Ao, Weiwei; Wei, Juncheng; Winter, Matthias
2019
A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions. Zbl 1439.76102
Winter, M.; Schott, B.; Massing, A.; Wall, W. A.
2018
Stable spike clusters for the one-dimensional Gierer-Meinhardt system. Zbl 1386.35165
Wei, Juncheng; Winter, Matthias
2017
Stable spike clusters for the precursor Gierer-Meinhardt system in $$\mathbb {R}^2$$. Zbl 1386.35166
Wei, Juncheng; Winter, Matthias; Yang, Wen
2017
The dynamics of the stochastic shadow Gierer-Meinhardt system. Zbl 1337.60139
Winter, Matthias; Xu, Lihu; Zhai, Jianliang; Zhang, Tusheng
2016
Existence and stability of a spike in the central component for a consumer chain model. Zbl 1375.35247
Wei, Juncheng; Winter, Matthias
2015
Mathematical aspects of pattern formation in biological systems. Zbl 1295.92013
Wei, Juncheng; Winter, Matthias
2014
Existence of symmetric and asymmetric spikes for a crime hotspot model. Zbl 1347.34035
Berestycki, Henri; Wei, Juncheng; Winter, Matthias
2014
Stability of cluster solutions in a cooperative consumer chain model. Zbl 1286.35034
Wei, Juncheng; Winter, Matthias
2014
Flow-distributed spikes for Schnakenberg kinetics. Zbl 1284.35233
Wei, Juncheng; Winter, Matthias
2012
Qualitative assessment of the role of public health education program on HIV transmission dynamics. Zbl 1223.92055
Hussaini, N.; Winter, M.; Gumel, A. B.
2011
The Gierer-Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green’s function. Zbl 1204.58026
Tse, Wang Hung; Wei, Juncheng; Winter, Matthias
2010
Stability of spiky solutions in a reaction-diffusion system with four morphogens on the real line. Zbl 1225.35025
Wei, Juncheng; Winter, Matthias
2010
Strongly interacting bumps for the Schrödinger-Newton equations. Zbl 1189.81061
Wei, Juncheng; Winter, Matthias
2009
On the Gierer-Meinhardt system with precursors. Zbl 1197.35024
Wei, Juncheng; Winter, Matthias
2009
Spikes for the Gierer-Meinhardt system with discontinuous diffusion coefficients. Zbl 1183.35021
Wei, Juncheng; Winter, Matthias
2009
Existence and stability analysis of spiky solutions for the Gierer-Meinhardt system with large reaction rates. Zbl 1179.37120
Kolokolnikov, Theodore; Wei, Juncheng; Winter, Matthias
2009
Stationary multiple spots for reaction-diffusion systems. Zbl 1141.92007
Wei, Juncheng; Winter, Matthias
2008
Mutually exclusive spiky pattern and segmentation modeled by the five-component Meinhardt-Gierer system. Zbl 1170.35049
Wei, Juncheng; Winter, Matthias
2008
Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in $$\mathbb R^1$$. Zbl 1195.35033
Wei, Juncheng; Winter, Matthias
2007
Stability of spikes in the shadow Gierer-Meinhardt system with robin boundary conditions. Zbl 1163.37348
Maini, Philip K.; Wei, Juncheng; Winter, Matthias
2007
Symmetric and asymmetric multiple clusters in a reaction-diffusion system. Zbl 1137.34318
Wei, Juncheng; Winter, Matthias
2007
Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field. Zbl 1146.35012
Norbury, J.; Wei, J.; Winter, M.
2007
Process and content: two ways of using SSM. Zbl 1123.90053
Checkland, P.; Winter, M.
2006
Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry. Zbl 1251.35010
Wei, Juncheng; Winter, Matthias
2006
Problem structuring in project management: an application of soft systems methodology (SSM). Zbl 1103.90382
Winter, M.
2006
Clustered spots in the FitzHugh-Nagumo system. Zbl 1330.35022
Wei, Juncheng; Winter, Matthias
2005
Symmetry of nodal solutions for singularly perturbed elliptic problems on a ball. Zbl 1185.35106
Wei, Juncheng; Winter, Matthias
2005
On a cubic-quintic Ginzburg-Landau equation with global coupling. Zbl 1058.35035
Wei, Juncheng; Winter, Matthias
2005
Stability analysis of Turing patterns generated by the Schnakenberg model. Zbl 1057.92011
Iron, David; Wei, Juncheng; Winter, Matthias
2004
Existence and stability analysis of asymmetric patterns for the Gierer–Meinhardt system. Zbl 1107.35049
Wei, Juncheng; Winter, Matthias
2004
On the Gierer-Meinhardt system with saturation. Zbl 1066.35023
Wei, Juncheng; Winter, Matthias
2004
Higher-order energy expansions and spike locations. Zbl 1154.35353
Wei, Juncheng; Winter, Matthias
2004
Existence and stability of multiple-spot solutions for the Gray-Scott model in $$\mathbb{R}^2$$. Zbl 1014.37036
Wei, Juncheng; Winter, Matthias
2003
Asymmetric spotty patterns for the Gray-Scott model in $$\mathbb{R}^2$$. Zbl 1141.35401
Wei, Juncheng; Winter, Matthias
2003
A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates. Zbl 1065.35041
Wei, Juncheng; Winter, Matthias
2003
Stability of monotone solutions for the shadow Gierer-Meinhardt system with finite diffusivity. Zbl 1074.35017
Wei, Juncheng; Winter, Matthias
2003
Higher order energy expansions for some singularly perturbed Neumann problems. Zbl 1084.35023
Wei, Juncheng; Winter, Matthias
2003
Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case. Zbl 1042.35005
Wei, Juncheng; Winter, Matthias
2002
Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field. Zbl 1021.35010
Norbury, John; Wei, Juncheng; Winter, Matthias
2002
Critical threshold and stability of cluster solutions for large reaction-diffusion systems in $$\mathbb{R}^1$$. Zbl 1019.35014
Wei, Juncheng; Winter, Matthias
2002
Local minimizers in micromagnetics and related problems. Zbl 1005.49002
Ball, J. M.; Taheri, A.; Winter, M.
2002
Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345
Wei, J.; Winter, M.
2001
On a hypercycle system with nonlinear rate. Zbl 1011.35077
Wei, Juncheng; Winter, Matthias
2001
Solutions for the Cahn-Hilliard equation with many boundary spike layers. Zbl 1038.35021
Wei, Juncheng; Winter, Matthias
2001
Multiple boundary peak solutions for some singularly perturbed Neumann problems. Zbl 0944.35020
Gui, Changfeng; Wei, Juncheng; Winter, Matthias
2000
Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks. Zbl 0952.35029
Wei, Juncheng; Winter, Matthias
2000
On a two-dimensional reaction-diffusion system with hypercyclical structure. Zbl 0979.35075
Wei, Juncheng; Winter, Matthias
2000
On the two-dimensional Gierer-Meinhardt system with strong coupling. Zbl 0955.35006
Wei, Juncheng; Winter, Matthias
1999
Multi-peak solutions for a wide class of singular perturbation problems. Zbl 0922.35025
Winter, Matthias; Wei, Juncheng
1999
Stationary solutions for the Cahn-Hilliard equation. Zbl 0910.35049
Wei, Juncheng; Winter, Matthias
1998
On the stationary Cahn-Hilliard equation: Interior spike solutions. Zbl 0965.35070
Wei, Juncheng; Winter, Matthias
1998
On the stationary Cahn-Hilliard equation: bubble solutions. Zbl 0918.35023
Wei, Juncheng; Winter, Matthias
1998
Quantification of mixing and mixing rate from experimental observations. Zbl 0900.76724
Everson, R.; Manin, D.; Sirovich, L.; Winter, M.
1998
Young measures in a nonlocal phase transition problem. Zbl 0912.49001
Ren, Xiaofeng; Winter, Matthias
1997
An example of microstructure with multiple scales. Zbl 0871.49004
Winter, Matthias
1997
Lavrentiev phenomenon in microstructure theory. Zbl 0853.49019
Winter, Matthias
1996
Large time asymptotics for a class of wave equations of higher order with a variable coefficient and time-independent incitation. Zbl 0814.35068
Winter, Matthias
1995
On asymptotics with respect to time of higher order wave equations with variable coefficients and time-independent or time-harmonic excitation. (Zur Zeitasymptotik für eine Klasse von Wellengleichungen höherer Ordnung mit variablen Koeffizienten und zeitunabhängiger oder zeitharmonischer Anregung.) Zbl 0850.35056
Winter, Matthias
1993
Eigenfunction analysis of turbulent mixing phenomena. Zbl 0759.76035
Winter, M.; Barber, T. J.; Everson, R. M.; Sirovich, L.
1992
Bubble-driven liquid flows. Zbl 0606.76115
Durst, F.; Schönung, B.; Selanger, K.; Winter, M.
1986
all top 5

### Cited by 529 Authors

 82 Wei, Juncheng 33 Ward, Michael J. 26 Winter, Matthias 24 Yang, Minbo 17 Kolokolnikov, Theodore 14 Gao, Fashun 10 Chen, Chaonien 10 Tzou, Justin C. 9 D’Aprile, Teresa 9 Pistoia, Angela 8 Ao, Weiwei 7 Cingolani, Silvia 7 Iron, David 7 Shi, Junping 7 Wang, Jun 6 Alves, Claudianor Oliveira 6 Bates, Peter W. 6 Ishii, Yuta 6 Malchiodi, Andrea 6 Micheletti, Anna Maria 6 Tang, Xianhua 6 Yan, Shusen 6 You, Yuncheng 6 Zhao, Chunshan 6 Zhou, Jun 5 Dancer, Edward Norman 5 Gomez, Daniel 5 Kowalczyk, Michał 5 Rumsey, John R. 5 Secchi, Simone 5 Wang, Mingxin 4 Chen, Hongbin 4 Choi, Yung-Sze 4 Doelman, Arjen 4 Ei, Shin-Ichiro 4 Ghergu, Marius 4 Ghimenti, Marco G. 4 Li, Yi 4 Madzvamuse, Anotida 4 Mahmoudi, Fethi 4 Morimoto, Kotaro 4 Peng, Rui 4 Tanaka, Kazunaga 4 Tang, Zhongwei 4 Tse, Wang Hung 4 Van Schaftingen, Jean 4 Xie, Shuangquan 4 Yao, Ruofei 4 Zhou, Jiazheng 3 Bonheure, Denis 3 Breña-Medina, Víctor F. 3 Chen, Sitong 3 Chen, Wenyan 3 Del Pino, Manuel A. 3 Geng, Qiuping 3 Gui, Changfeng 3 Khemiri, Zied 3 Liu, Xiaonan 3 Ma, Shiwang 3 Maini, Philip Kumar 3 Mei, Linfeng 3 Moroz, Vitaly 3 Moyles, Iain R. 3 Peng, Shuangjie 3 Qin, Dongdong 3 Rădulescu, Vicenţiu D. 3 Ren, Xiaofeng 3 Rey, Olivier 3 Sarfaraz, Wakil 3 Shen, Zifei 3 Squassina, Marco 3 van Gorder, Robert Ashton 3 Wei, Junjie 3 Wei, Yuanhong 3 Xia, Jiankang 3 Xu, Junxiang 3 Yang, Wen 2 Avitabile, Daniele 2 Bandle, Catherine 2 Bellomo, Nicola 2 Bramburger, Jason J. 2 Byeon, Jaeyoung 2 Cassani, Daniele 2 Champneys, Alan R. 2 Chen, Guoyuan 2 Chen, Shaohua 2 Chen, Xinfu 2 Clapp, Mónica 2 Da Silva, Edcarlos Domingos 2 Deng, Shengbing 2 Ding, Yanheng 2 Fadai, Nabil T. 2 Figueiredo, Giovany Malcher 2 Fusco, Giorgio 2 Gao, Zu 2 Guo, Qing 2 Han, Jianlong 2 Hernández, Álvaro 2 Hoffmann, Karl-Heinz 2 Huang, Chih-Chiang ...and 429 more Authors
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### Cited in 120 Serials

 43 Journal of Differential Equations 32 Calculus of Variations and Partial Differential Equations 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Mathematical Analysis and Applications 15 Discrete and Continuous Dynamical Systems 13 SIAM Journal on Applied Dynamical Systems 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Physica D 11 Journal of Dynamics and Differential Equations 10 Transactions of the American Mathematical Society 10 European Journal of Applied Mathematics 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Journal of Mathematical Biology 9 Nonlinearity 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Nonlinear Science 7 Communications in Partial Differential Equations 7 Nonlinear Analysis. Real World Applications 7 Communications on Pure and Applied Analysis 6 Bulletin of Mathematical Biology 6 Journal of Functional Analysis 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Archive for Rational Mechanics and Analysis 5 Computers & Mathematics with Applications 5 Studies in Applied Mathematics 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Communications in Contemporary Mathematics 5 Advanced Nonlinear Studies 5 Advances in Nonlinear Analysis 4 Mathematical Methods in the Applied Sciences 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Chemistry 4 Discrete and Continuous Dynamical Systems. Series B 4 Discrete and Continuous Dynamical Systems. Series S 4 Science China. Mathematics 3 Journal of Computational Physics 3 Journal of Mathematical Physics 3 The Journal of Geometric Analysis 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Chaos 3 Advances in Mathematical Physics 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Fluid Mechanics 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Computation 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 SIAM Journal on Mathematical Analysis 2 Topological Methods in Nonlinear Analysis 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Analysis and Applications (Singapore) 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Applied Analysis and Computation 2 AIMS Mathematics 1 Communications on Pure and Applied Mathematics 1 Mathematical Biosciences 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Forum Mathematicum 1 SIAM Review 1 Stochastic Processes and their Applications 1 Archives of Control Sciences 1 SIAM Journal on Scientific Computing 1 Complexity 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Qualitative Theory of Dynamical Systems ...and 20 more Serials
all top 5

### Cited in 24 Fields

 439 Partial differential equations (35-XX) 105 Biology and other natural sciences (92-XX) 35 Dynamical systems and ergodic theory (37-XX) 29 Global analysis, analysis on manifolds (58-XX) 22 Ordinary differential equations (34-XX) 22 Numerical analysis (65-XX) 18 Operator theory (47-XX) 14 Probability theory and stochastic processes (60-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Fluid mechanics (76-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Quantum theory (81-XX) 5 Differential geometry (53-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Difference and functional equations (39-XX) 3 Systems theory; control (93-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX)