Compute Distance To:
 Documents Indexed: 42 Publications since 2007 Co-Authors: 29 Co-Authors with 33 Joint Publications 715 Co-Co-Authors
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### Co-Authors

 9 single-authored 7 Privat, Yannick 5 Mazari, Idriss 5 Perthame, Benoît 4 Hamel, François 4 Rossi, Luca 3 Berestycki, Henri 3 Ryzhik, Lenya 2 Bouin, Emeric 2 Calvez, Vincent 2 Girardin, Léo 2 Roques, Lionel J. 2 Toledo Marrero, Ana Isis 2 Vauchelet, Nicolas 1 Bliman, Pierre-Alexandre 1 Bouhours, Juliette 1 Carrère, Cécile 1 Cristofol, Michel 1 Ducrot, Arnaud 1 Garnier, Jimmy 1 Giletti, Thomas 1 Kaddouri, Isma 1 Lamboley, Jimmy 1 Laurain, Antoine 1 Marck, Gilles 1 Ogier-Denis, Eric 1 Strugarek, Martin 1 Tang, Min 1 Toledo, Ana I. 1 Zaag, Hatem
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### Serials

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

### Fields

 36 Partial differential equations (35-XX) 18 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

36 Publications have been cited 777 times in 456 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
Spreading speeds for one-dimensional monostable reaction-diffusion equations. Zbl 1282.35191
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
Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations. Zbl 1364.35146
2015
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
2008
Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation. Zbl 1204.35024
2010
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
2013
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
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
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
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
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
Some dependence results between the spreading speed and the coefficients of the space-time periodic Fisher-KPP equation. Zbl 1225.35022
2011
Optimal location of resources maximizing the total population size in logistic models. Zbl 1433.92038
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2020
Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations. Zbl 1362.35313
2017
A variational approach to reaction-diffusion equations with forced speed in dimension 1. Zbl 1325.35096
2015
A viscosity solution method for the spreading speed formula in slowly varying media. Zbl 1259.35064
Hamel, François; Nadin, Grégoire; Roques, Lionel
2011
Maximal and minimal spreading speeds for reaction diffusion equations in nonperiodic slowly varying media. Zbl 1270.35265
Garnier, Jimmy; Giletti, Thomas; Nadin, Gregoire
2012
Hindrances to bistable front propagation: application to Wolbachia invasion. Zbl 1411.34039
Nadin, Grégoire; Strugarek, Martin; Vauchelet, Nicolas
2018
Reaction-diffusion equations in space-time periodic media. Zbl 1128.35053
2007
Hyperbolic traveling waves driven by growth. Zbl 1292.35036
Bouin, Emeric; Calvez, Vincent; Nadin, Grégoire
2014
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
On the maximization problem for solutions of reaction-diffusion equations with respect to their initial data. Zbl 1469.35025
Nadin, Grégoire; Toledo Marrero, Ana Isis
2020
Coefficient determination via asymptotic spreading speeds. Zbl 1286.35261
2014
Pulsating traveling fronts in space-time periodic media. Zbl 1149.35370
2008
Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations. Zbl 1483.35304
Mazari, Idriss; Nadin, Grégoire; Toledo Marrero, Ana Isis
2021
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2022
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
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2022
Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations. Zbl 1483.35304
Mazari, Idriss; Nadin, Grégoire; Toledo Marrero, Ana Isis
2021
Optimal location of resources maximizing the total population size in logistic models. Zbl 1433.92038
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2020
Influence of mutations in phenotypically-structured populations in time periodic environment. Zbl 1445.35022
2020
On the maximization problem for solutions of reaction-diffusion equations with respect to their initial data. Zbl 1469.35025
Nadin, Grégoire; Toledo Marrero, Ana Isis
2020
Hindrances to bistable front propagation: application to Wolbachia invasion. Zbl 1411.34039
Nadin, Grégoire; Strugarek, Martin; Vauchelet, Nicolas
2018
Competition in periodic media. II: Segregative limit of pulsating fronts and “unity is not strength”-type result. Zbl 1391.35052
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
Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients. Zbl 1351.35014
2015
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
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
Maximal and minimal spreading speeds for reaction diffusion equations in nonperiodic slowly varying media. Zbl 1270.35265
Garnier, Jimmy; Giletti, Thomas; Nadin, Gregoire
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 446 Authors

 35 Shen, Wenxian 25 Hamel, François 24 Nadin, Grégoire 17 Trofimchuk, Sergei I. 16 Volpert, Vitaly A. 15 Liang, Xing 13 Giletti, Thomas 13 Li, Wan-Tong 12 Ducrot, Arnaud 12 Salako, Rachidi Bolaji 11 Berestycki, Henri 11 Lin, Guo 10 Girardin, Léo 10 Han, Bang-Sheng 10 Lou, Yuan 10 Roques, Lionel J. 10 Rossi, Luca 10 Wang, Zhi Cheng 9 Alfaro, Matthieu 9 Bao, Xiongxiong 9 Henderson, Christopher 9 Liu, Shuang 9 Ruan, Shigui 9 Vougalter, Vitali 8 Du, Yihong 8 Perthame, Benoît 8 Privat, Yannick 8 Shen, Zhongwei 7 Bouin, Emeric 7 Coville, Jerome 7 Mazari, Idriss 7 Peng, Rui 7 Roquejoffre, Jean-Michel 6 Ding, Weiwei 6 Hasík, Karel 6 Matano, Hiroshi 6 Zhou, Maolin 5 Calvez, Vincent 5 Griette, Quentin 5 Guo, Hongjun 5 Guo, Jong-Shenq 5 Guo, Shangjiang 5 Lam, King-Yeung 5 Ou, Chunhua 5 Raoul, Gaël 5 Vo, Hoang-Hung 4 Bo, Wei-Jian 4 Chen, Shanshan 4 Efendiev, Messoud 4 Kopfová, Jana 4 Kühn, Christian 4 Nábělková, Petra 4 Ryzhik, Lenya 4 Verzini, Gianmaria 4 Wu, Changhong 4 Xue, Shuwen 4 Zhao, Xiao-Qiang 4 Zhou, Ling 4 Zlatoš, Andrej 3 Chang, Meng-Xue 3 Coulon, Anne-Charline 3 Cristofol, Michel 3 Feng, Zhaosheng 3 Garnier, Jimmy 3 Guo, Zongming 3 Liu, Qian 3 Liu, Zuhan 3 Ma, Manjun 3 Magal, Pierre 3 Martin, Guillaume 3 Martinez, Patrick 3 Mirrahimi, Sepideh 3 Ninomiya, Hirokazu 3 Painter, Kevin J. 3 Pellacci, Benedetta 3 Poláčik, Peter 3 Solar, Abraham 3 Strugarek, Martin 3 Tsai, Je-Chiang 3 Vauchelet, Nicolas 3 Wang, Zhian 3 Winkler, Michael 3 Xu, Wenbing 3 Yanagida, Eiji 3 Yuan, Rong 3 Zhang, Aijun 3 Zhang, Tianran 2 Apreutesei, Narcisa C. 2 Bages, Michaël 2 Bao, Lianzhang 2 Bramburger, Jason J. 2 Bu, Zhenhui 2 Caillerie, Nils 2 Cantrell, Robert Stephen 2 Cardoulis, Laure 2 Carrère, Cécile 2 Chen, Guangsheng 2 Chen, Xinfu 2 Contri, Benjamin 2 Du, Lijun ...and 346 more Authors
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### Cited in 110 Serials

 51 Journal of Differential Equations 19 Journal of Dynamics and Differential Equations 19 Discrete and Continuous Dynamical Systems 19 Discrete and Continuous Dynamical Systems. Series B 18 Journal of Mathematical Biology 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Nonlinearity 11 Journal of Functional Analysis 11 SIAM Journal on Applied Mathematics 11 SIAM Journal on Mathematical Analysis 11 Nonlinear Analysis. Real World Applications 10 Proceedings of the American Mathematical Society 9 Journal of Mathematical Analysis and Applications 9 Transactions of the American Mathematical Society 8 Calculus of Variations and Partial Differential Equations 7 Archive for Rational Mechanics and Analysis 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Bulletin of Mathematical Biology 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Applied Mathematics Letters 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications on Pure and Applied Analysis 5 Discrete and Continuous Dynamical Systems. Series S 4 Applicable Analysis 4 Advances in Mathematics 4 Applied Mathematics and Computation 4 Physica D 4 Communications in Partial Differential Equations 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Nonlinear Science 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Physics 3 Mathematische Annalen 3 Acta Applicandae Mathematicae 3 European Journal of Applied Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Mathematical Biosciences and Engineering 3 Mathematical Modelling of Natural Phenomena 3 Journal of Theoretical Biology 2 Mathematical Biosciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Theoretical Population Biology 2 Chinese Annals of Mathematics. Series B 2 Asymptotic Analysis 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Electronic Journal of Differential Equations (EJDE) 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Networks and Heterogeneous Media 2 Kinetic and Related Models 2 Séminaire Laurent Schwartz. EDP et Applications 2 Journal of Elliptic and Parabolic Equations 2 Electronic Research Archive 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Automatica 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Archive of Applied Mechanics 1 Computational Optimization and Applications 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 The Journal of Fourier Analysis 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 Communications in Nonlinear Science and Numerical Simulation 1 Russian Physics Journal 1 Qualitative Theory of Dynamical Systems 1 Journal of Nonlinear Mathematical Physics 1 Dynamical Systems 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Stochastics and Dynamics 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Biological Dynamics 1 Journal of Physics A: Mathematical and Theoretical ...and 10 more Serials
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### Cited in 30 Fields

 405 Partial differential equations (35-XX) 259 Biology and other natural sciences (92-XX) 50 Integral equations (45-XX) 43 Ordinary differential equations (34-XX) 35 Operator theory (47-XX) 30 Dynamical systems and ergodic theory (37-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 10 Numerical analysis (65-XX) 5 Probability theory and stochastic processes (60-XX) 5 Fluid mechanics (76-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Systems theory; control (93-XX) 4 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operations research, mathematical programming (90-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 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)