# zbMATH — the first resource for mathematics

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 Documents Indexed: 33 Publications since 2007
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#### Co-Authors

 9 single-authored 4 Perthame, Benoît 4 Privat, Yannick 4 Rossi, Luca 3 Berestycki, Henri 3 Hamel, François 3 Ryzhik, Lenya 2 Bouin, Emeric 2 Calvez, Vincent 2 Girardin, Léo 2 Roques, Lionel J. 1 Bouhours, Juliette 1 Carrère, Cécile 1 Cristofol, Michel 1 Ducrot, Arnaud 1 Kaddouri, Isma 1 Lamboley, Jimmy 1 Laurain, Antoine 1 Marck, Gilles 1 Mazari, Idriss 1 Strugarek, Martin 1 Tang, Min 1 Vauchelet, Nicolas
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#### Serials

 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Differential Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Archive for Rational Mechanics and Analysis 2 European Journal of Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 1 Inverse Problems 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Nonlinearity 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Interfaces and Free Boundaries 1 Mathematical Modelling of Natural Phenomena 1 Analysis & PDE
all top 5

#### Fields

 29 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 612 times in 359 Documents Cited by Year
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
2009
Asymptotic spreading in heterogeneous diffusive excitable media. Zbl 1234.35033
Berestycki, Henri; Hamel, François; Nadin, Grégoire
2008
Traveling fronts in space-time periodic media. Zbl 1182.35074
2009
Propagation phenomena for time heterogeneous KPP reaction-diffusion equations. Zbl 1388.35101
2012
The principal eigenvalue of a space-time periodic parabolic operator. Zbl 1193.35113
2009
Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations. Zbl 1364.35146
2015
Spreading speeds for one-dimensional monostable reaction-diffusion equations. Zbl 1282.35191
2012
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
2013
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038
Nadin, Grégoire; Perthame, Benoît; Tang, Min
2011
Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation. Zbl 1204.35024
2010
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
2008
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
2015
The effect of the Schwarz rearrangement on the periodic principal eigenvalue of a nonsymmetric operator. Zbl 1214.34083
2010
Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation. Zbl 1311.35050
2014
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
2015
Spreading properties and complex dynamics for monostable reaction-diffusion equations. Zbl 1254.35024
2012
Propagation in a kinetic reaction-transport equation: travelling waves and accelerating fronts. Zbl 1317.35267
Bouin, Emeric; Calvez, Vincent; Nadin, Grégoire
2015
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick
2016
Some dependence results between the spreading speed and the coefficients of the space-time periodic Fisher-KPP equation. Zbl 1225.35022
2011
Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations. Zbl 1362.35313
2017
A viscosity solution method for the spreading speed formula in slowly varying media. Zbl 1259.35064
Hamel, François; Nadin, Grégoire; Roques, Lionel
2011
A variational approach to reaction-diffusion equations with forced speed in dimension 1. Zbl 1325.35096
2015
Hyperbolic traveling waves driven by growth. Zbl 1292.35036
Bouin, Emeric; Calvez, Vincent; Nadin, Grégoire
2014
Reaction-diffusion equations in space-time periodic media. Zbl 1128.35053
2007
Competition in periodic media. II: Segregative limit of pulsating fronts and “unity is not strength”-type result. Zbl 1391.35052
2018
Influence of mutations in phenotypically-structured populations in time periodic environment. Zbl 1445.35022
2020
Hindrances to bistable front propagation: application to Wolbachia invasion. Zbl 1411.34039
Nadin, Grégoire; Strugarek, Martin; Vauchelet, Nicolas
2018
Coefficient determination via asymptotic spreading speeds. Zbl 1286.35261
2014
Optimal location of resources maximizing the total population size in logistic models. Zbl 1433.92038
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2020
Pulsating traveling fronts in space-time periodic media. Zbl 1149.35370
2008
How does the spreading speed associated with the Fisher-KPP equation depend on random stationary diffusion and reaction terms? Zbl 1334.35128
2015
What Is the optimal shape of a fin for one-dimensional heat conduction? Zbl 1302.49062
Marck, Gilles; Nadin, Grégoire; Privat, Yannick
2014
Influence of mutations in phenotypically-structured populations in time periodic environment. Zbl 1445.35022
2020
Optimal location of resources maximizing the total population size in logistic models. Zbl 1433.92038
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2020
Competition in periodic media. II: Segregative limit of pulsating fronts and “unity is not strength”-type result. Zbl 1391.35052
2018
Hindrances to bistable front propagation: application to Wolbachia invasion. Zbl 1411.34039
Nadin, Grégoire; Strugarek, Martin; Vauchelet, Nicolas
2018
Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations. Zbl 1362.35313
2017
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick
2016
Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations. Zbl 1364.35146
2015
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
2015
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
2015
Propagation in a kinetic reaction-transport equation: travelling waves and accelerating fronts. Zbl 1317.35267
Bouin, Emeric; Calvez, Vincent; Nadin, Grégoire
2015
A variational approach to reaction-diffusion equations with forced speed in dimension 1. Zbl 1325.35096
2015
How does the spreading speed associated with the Fisher-KPP equation depend on random stationary diffusion and reaction terms? Zbl 1334.35128
2015
Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation. Zbl 1311.35050
2014
Hyperbolic traveling waves driven by growth. Zbl 1292.35036
Bouin, Emeric; Calvez, Vincent; Nadin, Grégoire
2014
Coefficient determination via asymptotic spreading speeds. Zbl 1286.35261
2014
What Is the optimal shape of a fin for one-dimensional heat conduction? Zbl 1302.49062
Marck, Gilles; Nadin, Grégoire; Privat, Yannick
2014
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
2013
Propagation phenomena for time heterogeneous KPP reaction-diffusion equations. Zbl 1388.35101
2012
Spreading speeds for one-dimensional monostable reaction-diffusion equations. Zbl 1282.35191
2012
Spreading properties and complex dynamics for monostable reaction-diffusion equations. Zbl 1254.35024
2012
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038
Nadin, Grégoire; Perthame, Benoît; Tang, Min
2011
Some dependence results between the spreading speed and the coefficients of the space-time periodic Fisher-KPP equation. Zbl 1225.35022
2011
A viscosity solution method for the spreading speed formula in slowly varying media. Zbl 1259.35064
Hamel, François; Nadin, Grégoire; Roques, Lionel
2011
Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation. Zbl 1204.35024
2010
The effect of the Schwarz rearrangement on the periodic principal eigenvalue of a nonsymmetric operator. Zbl 1214.34083
2010
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
2009
Traveling fronts in space-time periodic media. Zbl 1182.35074
2009
The principal eigenvalue of a space-time periodic parabolic operator. Zbl 1193.35113
2009
Asymptotic spreading in heterogeneous diffusive excitable media. Zbl 1234.35033
Berestycki, Henri; Hamel, François; Nadin, Grégoire
2008
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
2008
Pulsating traveling fronts in space-time periodic media. Zbl 1149.35370
2008
Reaction-diffusion equations in space-time periodic media. Zbl 1128.35053
2007
all top 5

#### Cited by 388 Authors

 28 Shen, Wenxian 22 Hamel, François 19 Nadin, Grégoire 15 Volpert, Vitaly A. 14 Trofimchuk, Sergei I. 12 Liang, Xing 11 Giletti, Thomas 10 Berestycki, Henri 10 Ducrot, Arnaud 10 Li, Wan-Tong 10 Rossi, Luca 10 Salako, Rachidi Bolaji 9 Roques, Lionel J. 8 Bao, Xiongxiong 8 Girardin, Léo 8 Lin, Guo 8 Ruan, Shigui 8 Shen, Zhongwei 7 Alfaro, Matthieu 7 Bouin, Emeric 7 Coville, Jerome 7 Du, Yihong 7 Henderson, Christopher 7 Perthame, Benoît 7 Vougalter, Vitali 7 Wang, Zhi Cheng 6 Han, Bang-Sheng 6 Matano, Hiroshi 6 Roquejoffre, Jean-Michel 5 Ding, Weiwei 5 Guo, Hongjun 5 Guo, Jong-Shenq 5 Hasík, Karel 5 Lou, Yuan 5 Peng, Rui 5 Raoul, Gaël 5 Vo, Hoang-Hung 4 Calvez, Vincent 4 Chen, Shanshan 4 Griette, Quentin 4 Kühn, Christian 4 Ou, Chunhua 4 Privat, Yannick 4 Ryzhik, Lenya 4 Wu, Changhong 4 Zhao, Xiao-Qiang 4 Zhou, Ling 4 Zhou, Maolin 4 Zlatoš, Andrej 3 Garnier, Jimmy 3 Guo, Zongming 3 Kopfová, Jana 3 Lam, King-Yeung 3 Liu, Shuang 3 Liu, Zuhan 3 Martin, Guillaume 3 Martinez, Patrick 3 Nábělková, Petra 3 Ninomiya, Hirokazu 3 Painter, Kevin J. 3 Pellacci, Benedetta 3 Poláčik, Peter 3 Tsai, Je-Chiang 3 Verzini, Gianmaria 3 Winkler, Michael 3 Xu, Wenbing 3 Yanagida, Eiji 3 Zhang, Tianran 2 Apreutesei, Narcisa C. 2 Bages, Michaël 2 Bao, Lianzhang 2 Bo, Wei-Jian 2 Bu, Zhenhui 2 Cantrell, Robert Stephen 2 Carrère, Cécile 2 Chen, Guangsheng 2 Chen, Xinfu 2 Contri, Benjamin 2 Coulon, Anne-Charline 2 Cristofol, Michel 2 Dumont, Yves 2 Efendiev, Messoud 2 Erban, Radek 2 Feng, Zhaosheng 2 Gil, Marie-Eve 2 Gómez, Carlos Alexis 2 Guo, Shangjiang 2 Ito, Ryo 2 Jabin, Pierre-Emmanuel 2 Kao, Chiu-Yen 2 Kawasaki, Kohkichi 2 Kondrat’yev, Yuriĭ Grygorovych 2 Li, Jing 2 Lutscher, Frithjof 2 Ma, Manjun 2 Mazari, Idriss 2 Mazzoleni, Dario 2 Méléard, Sylvie 2 Mirrahimi, Sepideh 2 Nagahara, Kentaro ...and 288 more Authors
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#### Cited in 89 Serials

 46 Journal of Differential Equations 16 Discrete and Continuous Dynamical Systems 15 Journal of Mathematical Biology 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Journal of Dynamics and Differential Equations 12 Discrete and Continuous Dynamical Systems. Series B 11 Nonlinearity 9 Journal of Mathematical Analysis and Applications 9 Journal of Functional Analysis 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 SIAM Journal on Mathematical Analysis 9 Nonlinear Analysis. Real World Applications 8 Transactions of the American Mathematical Society 8 SIAM Journal on Applied Mathematics 8 Calculus of Variations and Partial Differential Equations 7 Bulletin of Mathematical Biology 6 Proceedings of the American Mathematical Society 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Archive for Rational Mechanics and Analysis 5 Applied Mathematics Letters 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Nonlinear Science 4 Communications on Pure and Applied Analysis 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Acta Applicandae Mathematicae 3 Physica D 3 European Journal of Applied Mathematics 3 Communications in Partial Differential Equations 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Mathematical Modelling of Natural Phenomena 3 Journal of Theoretical Biology 2 Applicable Analysis 2 Journal of Computational Physics 2 Mathematical Biosciences 2 Advances in Mathematics 2 Mathematische Annalen 2 Applied Mathematical Modelling 2 Electronic Journal of Differential Equations (EJDE) 2 Abstract and Applied Analysis 2 Communications in Contemporary Mathematics 2 Mathematical Biosciences and Engineering 2 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Kinetic and Related Models 2 Journal of Elliptic and Parabolic Equations 1 Communications in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Journal of Optimization Theory and Applications 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Theoretical Population Biology 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 Archive of Applied Mechanics 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Problems in Engineering 1 Fractional Calculus & Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Russian Physics Journal 1 Qualitative Theory of Dynamical Systems 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Stochastics and Dynamics 1 Mediterranean Journal of Mathematics 1 Journal of Biological Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Biomathematics 1 Science China. Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Cited in 28 Fields

 321 Partial differential equations (35-XX) 195 Biology and other natural sciences (92-XX) 40 Integral equations (45-XX) 31 Ordinary differential equations (34-XX) 26 Operator theory (47-XX) 18 Dynamical systems and ergodic theory (37-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 6 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)