Edit Profile (opens in new tab) Hamel, François Co-Author Distance Author ID: hamel.francois Published as: Hamel, François; Hamel, F.; Hamel, Francois more...less External Links: MGP Documents Indexed: 124 Publications since 1995, including 10 Additional arXiv Preprints Co-Authors: 58 Co-Authors with 116 Joint Publications 1,709 Co-Co-Authors all top 5 Co-Authors 8 single-authored 23 Roques, Lionel J. 20 Nadirashvili, Nikolai S. 19 Berestycki, Henri 10 Russ, Emmanuel 9 Monneau, Régis 8 Roquejoffre, Jean-Michel 8 Rossi, Luca 6 Ryzhik, Lenya 5 Garnier, Jimmy 5 Guo, Jong-Shenq 4 Nadin, Grégoire 4 Sire, Yannick 4 Zhang, Mingmin 3 Alfaro, Matthieu 3 Ding, Weiwei 3 Martin, Guillaume 3 Valdinoci, Enrico 2 Blouza, Adel 2 Coquel, Frédéric 2 Coville, Jerome 2 El Smaily, Mohammad Ibrahim 2 Fayard, Julien 2 Gil, Marie-Eve 2 Giletti, Thomas 2 Guo, Hongjun 2 Lavigne, Florian 2 Lutscher, Frithjof 2 Ninomiya, Hirokazu 2 Nolen, James 2 Omrani, Sonia 2 Zhao, Xiao-Qiang 2 Zlatoš, Andrej 1 Bonheure, Denis 1 Bonnefon, Olivier 1 Bonnet, Alexis 1 Brasseur, Julien 1 Chen, Xinfu 1 Chen, Yanyu 1 Cristofol, Michel 1 Efendiev, Messoud 1 Fady, B. 1 Girardin, Léo 1 Grenier, Emmanuel 1 Henderson, Christopher 1 Huang, Rui 1 Karakhanyan, Aram L. 1 Kiselev, Alexander A. 1 Klein, Etienne K. 1 Liang, Xing 1 Liu, Yong 1 Matano, Hiroshi 1 Patout, Florian 1 Ros-Oton, Xavier 1 Sheng, WeiJie 1 Sicbaldi, Pieralberto 1 Wang, Kelei 1 Wei, Juncheng 1 Wu, Chin-Chin all top 5 Serials 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Archive for Rational Mechanics and Analysis 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications on Pure and Applied Mathematics 5 Discrete and Continuous Dynamical Systems 4 Nonlinearity 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Communications in Partial Differential Equations 4 Journal of the European Mathematical Society (JEMS) 3 Journal of Mathematical Biology 3 Advances in Mathematics 3 Journal of Differential Equations 3 Mathematische Annalen 3 SIAM Journal on Mathematical Analysis 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Séminaire Laurent Schwartz. EDP et Applications 2 Bulletin of Mathematical Biology 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Dynamics and Differential Equations 2 Advances in Differential Equations 1 Communications in Mathematical Physics 1 Mathematical Biosciences 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tamkang Journal of Mathematics 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 SIAM Journal on Applied Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 RIMS Kokyuroku 1 Annals of Mathematics. Second Series 1 Interfaces and Free Boundaries 1 Combustion Theory and Modelling 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Elliptic and Parabolic Equations all top 5 Fields 110 Partial differential equations (35-XX) 21 Biology and other natural sciences (92-XX) 9 Fluid mechanics (76-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 3,223 times in 1,283 Documents Cited by ▼ Year ▼ Front propagation in periodic excitable media. Zbl 1024.37054 Berestycki, Henri; Hamel, François 232 2002 The speed of propagation for KPP type problems. I: Periodic framework. Zbl 1142.35464 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 178 2005 Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047 Berestycki, Henri; Hamel, François; Roques, Lionel 166 2005 Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\). Zbl 0987.35072 Hamel, François; Nadirashvili, Nikolaï 154 2001 Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts. Zbl 1083.92036 Berestycki, Henri; Hamel, François; Roques, Lionel 123 2005 Entire solutions of the KPP equation. Zbl 0932.35113 Hamel, F.; Nadirashvili, N. 120 1999 Generalized transition waves and their properties. Zbl 1248.35039 Berestycki, Henri; Hamel, François 112 2012 Generalized travelling waves for reaction-diffusion equations. Zbl 1200.35169 Berestycki, Henri; Hamel, François 109 2007 Asymptotic spreading in heterogeneous diffusive excitable media. Zbl 1234.35033 Berestycki, Henri; Hamel, François; Nadin, Grégoire 97 2008 Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity. Zbl 1171.35061 Hamel, François 90 2008 Liouville-type results for semilinear elliptic equations in unbounded domains. Zbl 1223.35022 Berestycki, Henri; Hamel, François; Rossi, Luca 84 2007 Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 84 2005 Bistable traveling waves around an obstacle. Zbl 1172.35031 Berestycki, Henri; Matano, Hiroshi; Hamel, François 80 2009 One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056 Berestycki, H.; Hamel, F.; Monneau, R. 78 2000 The speed of propagation for KPP type problems. II: General domains. Zbl 1197.35073 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 76 2010 A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067 Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya 74 2013 Uniqueness and stability properties of monostable pulsating fronts. Zbl 1219.35035 Hamel, François; Roques, Lionel 72 2011 Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Zbl 1123.35033 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 72 2005 Fast propagation for KPP equations with slowly decaying initial conditions. Zbl 1213.35100 Hamel, François; Roques, Lionel 68 2010 Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 58 2006 Front propagation for discrete periodic monostable equations. Zbl 1116.35063 Guo, Jong-Shenq; Hamel, François 54 2006 Existence of nonplanar solutions of a simple model of premixed Bunsen flames. Zbl 0942.35072 Bonnet, Alexis; Hamel, François 53 1999 On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds. Zbl 1317.35122 Hamel, François; Ryzhik, Lenya 51 2014 Solutions of semilinear elliptic equations in \(\mathbb{R}^N\) with conical-shaped level sets. Zbl 0952.35041 Hamel, François; Monneau, Régis 49 2000 Stability of travelling waves in a model for conical flames in two space dimensions. Zbl 1085.35075 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 45 2004 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 44 2007 Bistable transition fronts in \(\mathbb{R}^N\). Zbl 1348.35111 Hamel, François 42 2016 Traveling waves for a lattice dynamical system arising in a diffusive endemic model. Zbl 1373.34022 Chen, Yan-Yu; Guo, Jong-Shenq; Hamel, François 42 2017 Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat. Zbl 1386.35201 Ding, Weiwei; Hamel, Francois; Zhao, Xiao-Qiang 38 2017 The logarithmic delay of KPP fronts in a periodic medium. Zbl 1338.35243 Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya 32 2016 Inside dynamics of pulled and pushed fronts. Zbl 1255.35073 Garnier, Jimmy; Giletti, Thomas; Hamel, François; Roques, Lionel 31 2012 Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051 Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya 29 2005 Transition fronts for the Fisher-KPP equation. Zbl 1362.35157 Hamel, François; Rossi, Luca 27 2016 Mathematical analysis of the optimal habitat configurations for species persistence. Zbl 1131.92068 Roques, Lionel; Hamel, François 25 2007 Two-dimensional curved fronts in a periodic shear flow. Zbl 1227.35120 El Smaily, Mohammad; Hamel, François; Huang, Rui 25 2011 Transition fronts for periodic bistable reaction-diffusion equations. Zbl 1338.35240 Ding, Weiwei; Hamel, François; Zhao, Xiao-Qiang 23 2015 Spreading properties and complex dynamics for monostable reaction-diffusion equations. Zbl 1254.35024 Hamel, François; Nadin, Grégoire 22 2012 Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples. Zbl 1341.35064 Hamel, François; Nadirashvili, Nikolai; Sire, Yannick 22 2016 Inside dynamics of delayed traveling waves. Zbl 1278.35044 Bonnefon, O.; Garnier, J.; Hamel, F.; Roques, L. 22 2013 Admissible speeds of transition fronts for nonautonomous monostable equations. Zbl 1334.35118 Hamel, François; Rossi, Luca 20 2015 Reaction-diffusion problems in cylinders with no invariance by translation. II: Monotone perturbations. Zbl 0902.35036 Hamel, François 17 1997 On the mean speed of bistable transition fronts in unbounded domains. Zbl 1450.35108 Guo, Hongjun; Hamel, François; Sheng, Wei-Jie 16 2020 Heteroclinic connections for multidimensional bistable reaction-diffusion equations. Zbl 1207.35028 Hamel, François; Roquejoffre, Jean-Michel 15 2011 Rearrangement inequalities and applications to isoperimetric problems for eigenvalues. Zbl 1234.35161 Hamel, François; Nadirashvili, Nikolai; Russ, Emmanuel 15 2011 A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004 Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico 15 2017 Spreading speeds in slowly oscillating environments. Zbl 1197.92044 Hamel, François; Fayard, Julien; Roques, Lionel 14 2010 On generalized principal eigenvalues of nonlocal operators with a drift. Zbl 1447.45003 Coville, Jérôme; Hamel, François 14 2020 Shear flows of an ideal fluid and elliptic equations in unbounded domains. Zbl 1360.35155 Hamel, François; Nadirashvili, Nikolai 13 2017 Propagation in a Fisher-KPP equation with non-local advection. Zbl 1430.35129 Hamel, François; Henderson, Christopher 13 2020 A Liouville theorem for the Euler equations in the plane. Zbl 1421.35263 Hamel, François; Nadirashvili, Nikolai 13 2019 Success rate of a biological invasion in terms of the spatial distribution of the founding population. Zbl 1238.92046 Garnier, Jimmy; Roques, Lionel; Hamel, François 12 2012 Homogenization and influence of fragmentation in a biological invasion model. Zbl 1179.35047 El Smaily, Mohammad; Hamel, François; Roques, Lionel 12 2009 Min-max formulas for the speeds of multidimensional progressive waves. (Formules min-max pour les vitesses d’ondes progressives multidimensionnelles.) Zbl 0956.35041 Hamel, François 11 1999 Speed-up of combustion fronts in shear flows. Zbl 1283.35081 Hamel, François; Zlatoš, Andrej 11 2013 Mathematical properties of a class of integro-differential models from population genetics. Zbl 1378.35007 Gil, Marie-Eve; Hamel, Francois; Martin, Guillaume; Roques, Lionel 10 2017 Non-existence of travelling front solutions of some bistable reaction-diffusion equations. Zbl 0988.35081 Berestycki, H.; Hamel, F. 9 2000 Liouville type results for a nonlocal obstacle problem. Zbl 1475.45017 Brasseur, Julien; Coville, Jérôme; Hamel, François; Valdinoci, Enrico 9 2019 A viscosity solution method for the spreading speed formula in slowly varying media. Zbl 1259.35064 Hamel, François; Nadin, Grégoire; Roques, Lionel 8 2011 Existence and uniqueness for a free boundary problem arising in combustion theory. Zbl 1078.80004 Hamel, F.; Monneau, R. 8 2002 An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift. Zbl 1066.35066 Hamel, François; Nadirashvili, Nikolai; Russ, Emmanuel 8 2005 Gradient estimates for elliptic regularizations of semilinear parabolic and degenerate elliptic equations. Zbl 1142.35432 Berestycki, Henri; Hamel, François 8 2005 Transition fronts and stretching phenomena for a general class of reaction-dispersion equations. Zbl 1371.35315 Garnier, Jimmy; Hamel, François; Roques, Lionel 8 2017 One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\). Zbl 1367.35050 Bonheure, Denis; Hamel, François 8 2017 Traveling fronts for the thermo-diffusive system with arbitrary Lewis numbers. Zbl 1200.35044 Hamel, François; Ryzhik, Lenya 8 2010 Propagation and blocking in periodically hostile environments. Zbl 1263.35036 Guo, Jong-Shenq; Hamel, François 8 2012 Uniqueness from pointwise observations in a multi-parameter inverse problem. Zbl 1264.65153 Cristofol, Michel; Garnier, Jimmy; Hamel, François; Roques, Lionel 8 2012 Spreading speeds for some reaction-diffusion equations with general initial conditions. Zbl 1259.35054 Hamel, François; Sire, Yannick 7 2010 Propagation speed for reaction-diffusion equations in general domains. Zbl 1049.35100 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 7 2004 Reaction-diffusion problems in cylinders with no invariance by translation. I: Small perturbations. Zbl 0889.35035 Hamel, François 7 1997 Dynamics of fitness distributions in the presence of a phenotypic optimum: an integro-differential approach. Zbl 1419.35190 Gil, M.-E.; Hamel, F.; Martin, G.; Roques, L. 7 2019 Fronts and invasions in general domains. Zbl 1103.35044 Berestycki, Henri; Hamel, François 6 2006 Monotonicity of bistable transition fronts in \(\mathbb{R}^{N}\). Zbl 1386.35009 Guo, Hongjun; Hamel, François 6 2016 Recolonisation by diffusion can generate increasing rates of spread. Zbl 1457.92148 Roques, L.; Hamel, F.; Fayard, J.; Fady, B.; Klein, E. K. 6 2010 Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches. Zbl 1226.35034 Efendiev, Messoud; Hamel, François 5 2011 Existence of multidimensional travelling fronts with a multistable nonlinearity. Zbl 1217.35080 Hamel, François; Omrani, Sonia 5 2000 Non-adiabatic KPP fronts with an arbitrary Lewis number. Zbl 1083.35046 Hamel, François; Ryzhik, Lenya 5 2005 Persistence and propagation in periodic reaction-diffusion models. Zbl 1335.35122 Hamel, François; Roques, Lionel 5 2014 Dynamics of adaptation in an anisotropic phenotype-fitness landscape. Zbl 1437.35670 Hamel, F.; Lavigne, F.; Martin, G.; Roques, L. 5 2020 Conical-shaped travelling fronts allied to the mathematical analysis of the shape of premixed Bunsen flames. Zbl 1271.35035 Hamel, F.; Monneau, R. 4 2002 Comparison results and improved quantified inequalities for semilinear elliptic equations. Zbl 1367.35078 Hamel, François; Russ, Emmanuel 4 2017 Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems. Zbl 1510.35221 Hamel, François; Nadirashvili, Nikolai 4 2023 Solutions of semilinear elliptic equations in \(\mathbb{R}^N\) with conical-shaped level sets. (Solutions d’équations elliptiques semi-linéaires dans \(\mathbb{R}^N\) ayant des courbes de niveau de forme conique.) Zbl 0990.35049 Hamel, François; Monneau, Régis 3 1998 Extinction versus persistence in strong oscillating flows. Zbl 1186.35161 Hamel, François; Nadirashvili, Nikolai 3 2010 Adaptation in a heterogeneous environment I: persistence versus extinction. Zbl 1473.35598 Hamel, François; Lavigne, Florian; Roques, Lionel 3 2021 Reaction-diffusion equations and biological invasion models in periodic media. (Équations de réaction-diffusion et modèles d’invasions biologiques dans les milieux périodiques.) Zbl 1058.35103 Berestycki, Henri; Hamel, François; Roques, Lionel 2 2004 Parallel and circular flows for the two-dimensional Euler equations. Zbl 1475.35253 Hamel, François; Nadirashvili, Nikolai 2 2018 Localized and expanding entire solutions of reaction-diffusion equations. Zbl 1503.35017 Hamel, F.; Ninomiya, H. 2 2022 Propagation and blocking in a two-patch reaction-diffusion model. Zbl 1503.35037 Hamel, François; Lutscher, Frithjof; Zhang, Mingmin 2 2022 Reaction-diffusion fronts in funnel-shaped domains. Zbl 1504.35113 Hamel, François; Zhang, Mingmin 2 2023 Reaction-diffusion problems in infinite cylinders with no invariance by translation. (Problèmes de réaction-diffusion sans invariance par translation dans des cylindres infinis.) Zbl 0839.35045 Hamel, François 1 1995 Comparisons of eigenvalues of second order elliptic operators. Zbl 1163.35445 Hamel, F.; Nadirashvili, N.; Russ, E. 1 2007 The Harnack inequality for a class of degenerate elliptic operators. Zbl 1317.35090 Hamel, François; Zlatoš, Andrej 1 2013 When the Allee threshold is an evolutionary trait: persistence vs. extinction. Zbl 1478.35209 Alfaro, Matthieu; Girardin, Léo; Hamel, François; Roques, Lionel 1 2021 Half-space theorems for the Allen-Cahn equation and related problems. Zbl 1459.35177 Hamel, François; Liu, Yong; Sicbaldi, Pieralberto; Wang, Kelei; Wei, Juncheng 1 2021 Spreading sets and one-dimensional symmetry for reaction-diffusion equations. Zbl 1495.35101 Hamel, François; Rossi, Luca 1 2022 Diameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying media. Zbl 1500.35042 Hamel, François; Nadin, Grégoire 1 2022 Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems. Zbl 1510.35221 Hamel, François; Nadirashvili, Nikolai 4 2023 Reaction-diffusion fronts in funnel-shaped domains. Zbl 1504.35113 Hamel, François; Zhang, Mingmin 2 2023 Localized and expanding entire solutions of reaction-diffusion equations. Zbl 1503.35017 Hamel, F.; Ninomiya, H. 2 2022 Propagation and blocking in a two-patch reaction-diffusion model. Zbl 1503.35037 Hamel, François; Lutscher, Frithjof; Zhang, Mingmin 2 2022 Spreading sets and one-dimensional symmetry for reaction-diffusion equations. Zbl 1495.35101 Hamel, François; Rossi, Luca 1 2022 Diameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying media. Zbl 1500.35042 Hamel, François; Nadin, Grégoire 1 2022 Adaptation in a heterogeneous environment I: persistence versus extinction. Zbl 1473.35598 Hamel, François; Lavigne, Florian; Roques, Lionel 3 2021 When the Allee threshold is an evolutionary trait: persistence vs. extinction. Zbl 1478.35209 Alfaro, Matthieu; Girardin, Léo; Hamel, François; Roques, Lionel 1 2021 Half-space theorems for the Allen-Cahn equation and related problems. Zbl 1459.35177 Hamel, François; Liu, Yong; Sicbaldi, Pieralberto; Wang, Kelei; Wei, Juncheng 1 2021 On the mean speed of bistable transition fronts in unbounded domains. Zbl 1450.35108 Guo, Hongjun; Hamel, François; Sheng, Wei-Jie 16 2020 On generalized principal eigenvalues of nonlocal operators with a drift. Zbl 1447.45003 Coville, Jérôme; Hamel, François 14 2020 Propagation in a Fisher-KPP equation with non-local advection. Zbl 1430.35129 Hamel, François; Henderson, Christopher 13 2020 Dynamics of adaptation in an anisotropic phenotype-fitness landscape. Zbl 1437.35670 Hamel, F.; Lavigne, F.; Martin, G.; Roques, L. 5 2020 A Liouville theorem for the Euler equations in the plane. Zbl 1421.35263 Hamel, François; Nadirashvili, Nikolai 13 2019 Liouville type results for a nonlocal obstacle problem. Zbl 1475.45017 Brasseur, Julien; Coville, Jérôme; Hamel, François; Valdinoci, Enrico 9 2019 Dynamics of fitness distributions in the presence of a phenotypic optimum: an integro-differential approach. Zbl 1419.35190 Gil, M.-E.; Hamel, F.; Martin, G.; Roques, L. 7 2019 Parallel and circular flows for the two-dimensional Euler equations. Zbl 1475.35253 Hamel, François; Nadirashvili, Nikolai 2 2018 Traveling waves for a lattice dynamical system arising in a diffusive endemic model. Zbl 1373.34022 Chen, Yan-Yu; Guo, Jong-Shenq; Hamel, François 42 2017 Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat. Zbl 1386.35201 Ding, Weiwei; Hamel, Francois; Zhao, Xiao-Qiang 38 2017 A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004 Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico 15 2017 Shear flows of an ideal fluid and elliptic equations in unbounded domains. Zbl 1360.35155 Hamel, François; Nadirashvili, Nikolai 13 2017 Mathematical properties of a class of integro-differential models from population genetics. Zbl 1378.35007 Gil, Marie-Eve; Hamel, Francois; Martin, Guillaume; Roques, Lionel 10 2017 Transition fronts and stretching phenomena for a general class of reaction-dispersion equations. Zbl 1371.35315 Garnier, Jimmy; Hamel, François; Roques, Lionel 8 2017 One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\). Zbl 1367.35050 Bonheure, Denis; Hamel, François 8 2017 Comparison results and improved quantified inequalities for semilinear elliptic equations. Zbl 1367.35078 Hamel, François; Russ, Emmanuel 4 2017 Bistable transition fronts in \(\mathbb{R}^N\). Zbl 1348.35111 Hamel, François 42 2016 The logarithmic delay of KPP fronts in a periodic medium. Zbl 1338.35243 Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya 32 2016 Transition fronts for the Fisher-KPP equation. Zbl 1362.35157 Hamel, François; Rossi, Luca 27 2016 Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples. Zbl 1341.35064 Hamel, François; Nadirashvili, Nikolai; Sire, Yannick 22 2016 Monotonicity of bistable transition fronts in \(\mathbb{R}^{N}\). Zbl 1386.35009 Guo, Hongjun; Hamel, François 6 2016 Transition fronts for periodic bistable reaction-diffusion equations. Zbl 1338.35240 Ding, Weiwei; Hamel, François; Zhao, Xiao-Qiang 23 2015 Admissible speeds of transition fronts for nonautonomous monostable equations. Zbl 1334.35118 Hamel, François; Rossi, Luca 20 2015 On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds. Zbl 1317.35122 Hamel, François; Ryzhik, Lenya 51 2014 Persistence and propagation in periodic reaction-diffusion models. Zbl 1335.35122 Hamel, François; Roques, Lionel 5 2014 A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067 Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya 74 2013 Inside dynamics of delayed traveling waves. Zbl 1278.35044 Bonnefon, O.; Garnier, J.; Hamel, F.; Roques, L. 22 2013 Speed-up of combustion fronts in shear flows. Zbl 1283.35081 Hamel, François; Zlatoš, Andrej 11 2013 The Harnack inequality for a class of degenerate elliptic operators. Zbl 1317.35090 Hamel, François; Zlatoš, Andrej 1 2013 Generalized transition waves and their properties. Zbl 1248.35039 Berestycki, Henri; Hamel, François 112 2012 Inside dynamics of pulled and pushed fronts. Zbl 1255.35073 Garnier, Jimmy; Giletti, Thomas; Hamel, François; Roques, Lionel 31 2012 Spreading properties and complex dynamics for monostable reaction-diffusion equations. Zbl 1254.35024 Hamel, François; Nadin, Grégoire 22 2012 Success rate of a biological invasion in terms of the spatial distribution of the founding population. Zbl 1238.92046 Garnier, Jimmy; Roques, Lionel; Hamel, François 12 2012 Propagation and blocking in periodically hostile environments. Zbl 1263.35036 Guo, Jong-Shenq; Hamel, François 8 2012 Uniqueness from pointwise observations in a multi-parameter inverse problem. Zbl 1264.65153 Cristofol, Michel; Garnier, Jimmy; Hamel, François; Roques, Lionel 8 2012 Uniqueness and stability properties of monostable pulsating fronts. Zbl 1219.35035 Hamel, François; Roques, Lionel 72 2011 Two-dimensional curved fronts in a periodic shear flow. Zbl 1227.35120 El Smaily, Mohammad; Hamel, François; Huang, Rui 25 2011 Heteroclinic connections for multidimensional bistable reaction-diffusion equations. Zbl 1207.35028 Hamel, François; Roquejoffre, Jean-Michel 15 2011 Rearrangement inequalities and applications to isoperimetric problems for eigenvalues. Zbl 1234.35161 Hamel, François; Nadirashvili, Nikolai; Russ, Emmanuel 15 2011 A viscosity solution method for the spreading speed formula in slowly varying media. Zbl 1259.35064 Hamel, François; Nadin, Grégoire; Roques, Lionel 8 2011 Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches. Zbl 1226.35034 Efendiev, Messoud; Hamel, François 5 2011 The speed of propagation for KPP type problems. II: General domains. Zbl 1197.35073 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 76 2010 Fast propagation for KPP equations with slowly decaying initial conditions. Zbl 1213.35100 Hamel, François; Roques, Lionel 68 2010 Spreading speeds in slowly oscillating environments. Zbl 1197.92044 Hamel, François; Fayard, Julien; Roques, Lionel 14 2010 Traveling fronts for the thermo-diffusive system with arbitrary Lewis numbers. Zbl 1200.35044 Hamel, François; Ryzhik, Lenya 8 2010 Spreading speeds for some reaction-diffusion equations with general initial conditions. Zbl 1259.35054 Hamel, François; Sire, Yannick 7 2010 Recolonisation by diffusion can generate increasing rates of spread. Zbl 1457.92148 Roques, L.; Hamel, F.; Fayard, J.; Fady, B.; Klein, E. K. 6 2010 Extinction versus persistence in strong oscillating flows. Zbl 1186.35161 Hamel, François; Nadirashvili, Nikolai 3 2010 Bistable traveling waves around an obstacle. Zbl 1172.35031 Berestycki, Henri; Matano, Hiroshi; Hamel, François 80 2009 Homogenization and influence of fragmentation in a biological invasion model. Zbl 1179.35047 El Smaily, Mohammad; Hamel, François; Roques, Lionel 12 2009 Asymptotic spreading in heterogeneous diffusive excitable media. Zbl 1234.35033 Berestycki, Henri; Hamel, François; Nadin, Grégoire 97 2008 Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity. Zbl 1171.35061 Hamel, François 90 2008 Generalized travelling waves for reaction-diffusion equations. Zbl 1200.35169 Berestycki, Henri; Hamel, François 109 2007 Liouville-type results for semilinear elliptic equations in unbounded domains. Zbl 1223.35022 Berestycki, Henri; Hamel, François; Rossi, Luca 84 2007 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 44 2007 Mathematical analysis of the optimal habitat configurations for species persistence. Zbl 1131.92068 Roques, Lionel; Hamel, François 25 2007 Comparisons of eigenvalues of second order elliptic operators. Zbl 1163.35445 Hamel, F.; Nadirashvili, N.; Russ, E. 1 2007 Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 58 2006 Front propagation for discrete periodic monostable equations. Zbl 1116.35063 Guo, Jong-Shenq; Hamel, François 54 2006 Fronts and invasions in general domains. Zbl 1103.35044 Berestycki, Henri; Hamel, François 6 2006 The speed of propagation for KPP type problems. I: Periodic framework. Zbl 1142.35464 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 178 2005 Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047 Berestycki, Henri; Hamel, François; Roques, Lionel 166 2005 Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts. Zbl 1083.92036 Berestycki, Henri; Hamel, François; Roques, Lionel 123 2005 Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 84 2005 Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Zbl 1123.35033 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 72 2005 Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051 Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya 29 2005 An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift. Zbl 1066.35066 Hamel, François; Nadirashvili, Nikolai; Russ, Emmanuel 8 2005 Gradient estimates for elliptic regularizations of semilinear parabolic and degenerate elliptic equations. Zbl 1142.35432 Berestycki, Henri; Hamel, François 8 2005 Non-adiabatic KPP fronts with an arbitrary Lewis number. Zbl 1083.35046 Hamel, François; Ryzhik, Lenya 5 2005 Stability of travelling waves in a model for conical flames in two space dimensions. Zbl 1085.35075 Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 45 2004 Propagation speed for reaction-diffusion equations in general domains. Zbl 1049.35100 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 7 2004 Reaction-diffusion equations and biological invasion models in periodic media. (Équations de réaction-diffusion et modèles d’invasions biologiques dans les milieux périodiques.) Zbl 1058.35103 Berestycki, Henri; Hamel, François; Roques, Lionel 2 2004 Front propagation in periodic excitable media. Zbl 1024.37054 Berestycki, Henri; Hamel, François 232 2002 Existence and uniqueness for a free boundary problem arising in combustion theory. Zbl 1078.80004 Hamel, F.; Monneau, R. 8 2002 Conical-shaped travelling fronts allied to the mathematical analysis of the shape of premixed Bunsen flames. Zbl 1271.35035 Hamel, F.; Monneau, R. 4 2002 Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\). Zbl 0987.35072 Hamel, François; Nadirashvili, Nikolaï 154 2001 One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056 Berestycki, H.; Hamel, F.; Monneau, R. 78 2000 Solutions of semilinear elliptic equations in \(\mathbb{R}^N\) with conical-shaped level sets. Zbl 0952.35041 Hamel, François; Monneau, Régis 49 2000 Non-existence of travelling front solutions of some bistable reaction-diffusion equations. Zbl 0988.35081 Berestycki, H.; Hamel, F. 9 2000 Existence of multidimensional travelling fronts with a multistable nonlinearity. Zbl 1217.35080 Hamel, François; Omrani, Sonia 5 2000 Entire solutions of the KPP equation. Zbl 0932.35113 Hamel, F.; Nadirashvili, N. 120 1999 Existence of nonplanar solutions of a simple model of premixed Bunsen flames. Zbl 0942.35072 Bonnet, Alexis; Hamel, François 53 1999 Min-max formulas for the speeds of multidimensional progressive waves. (Formules min-max pour les vitesses d’ondes progressives multidimensionnelles.) Zbl 0956.35041 Hamel, François 11 1999 Solutions of semilinear elliptic equations in \(\mathbb{R}^N\) with conical-shaped level sets. (Solutions d’équations elliptiques semi-linéaires dans \(\mathbb{R}^N\) ayant des courbes de niveau de forme conique.) Zbl 0990.35049 Hamel, François; Monneau, Régis 3 1998 Reaction-diffusion problems in cylinders with no invariance by translation. II: Monotone perturbations. Zbl 0902.35036 Hamel, François 17 1997 Reaction-diffusion problems in cylinders with no invariance by translation. I: Small perturbations. Zbl 0889.35035 Hamel, François 7 1997 Reaction-diffusion problems in infinite cylinders with no invariance by translation. (Problèmes de réaction-diffusion sans invariance par translation dans des cylindres infinis.) Zbl 0839.35045 Hamel, François 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 1,075 Authors 75 Hamel, François 64 Li, Wan-Tong 37 Berestycki, Henri 37 Shen, Wenxian 36 Wang, Zhi Cheng 30 Roquejoffre, Jean-Michel 29 Nadin, Grégoire 29 Roques, Lionel J. 27 Wu, Shiliang 23 Ryzhik, Lenya 22 Giletti, Thomas 21 Coville, Jerome 19 Du, Yihong 18 Alfaro, Matthieu 18 Bu, Zhenhui 18 Ducrot, Arnaud 18 Henderson, Christopher 18 Lin, Guo 18 Ruan, Shigui 17 Liang, Xing 17 Sheng, WeiJie 17 Zhou, Maolin 17 Zlatoš, Andrej 16 Bao, Xiongxiong 16 Rossi, Luca 15 Matano, Hiroshi 14 Guo, Jong-Shenq 14 Lou, Bendong 14 Wang, Zhi Cheng 13 Nadirashvili, Nikolai S. 13 Salako, Rachidi Bolaji 13 Wang, Jiabing 12 Chen, Xinfu 12 Garnier, Jimmy 12 Han, Bang-Sheng 12 Hsu, Cheng-Hsiung 12 Peng, Rui 12 Poláčik, Peter 11 Ding, Weiwei 11 Du, Lijun 11 Monneau, Régis 11 Ninomiya, Hirokazu 11 Wu, Changhong 11 Zhao, Xiao-Qiang 10 Bouin, Emeric 10 Guo, Hongjun 10 Hupkes, Hermen Jan 10 Lutscher, Frithjof 10 Mazari-Fouquer, Idriss 10 Zhang, Li 9 Bo, Wei-Jian 9 El Smaily, Mohammad Ibrahim 9 Lewis, Mark Alun 9 Liu, NaiWei 9 Nolen, James 9 Tsai, Je-Chiang 9 Vo, Hoang-Hung 9 Wei, Juncheng 9 Yang, Feiying 8 Berestycki, Julien 8 Brunet, Éric 8 Dong, Fang-Di 8 Gui, Changfeng 8 He, Junfeng 8 Lam, King-Yeung 8 Montecchiari, Piero 8 Scheel, Arnd 8 Sire, Yannick 8 Trofimchuk, Sergei I. 8 Valdinoci, Enrico 8 Wang, Mingxin 7 Alessio, Francesca G. 7 Avery, Montie 7 Cabré, Xavier 7 Del Pino, Manuel A. 7 Dipierro, Serena 7 Fazly, Mostafa 7 Girardin, Léo 7 Niu, Hong-Tao 7 Shen, Zhongwei 7 Sun, Ningkui 7 Wei, Jingdong 7 Wu, Chin-Chin 7 Xu, Wenbing 6 Constantin, Peter 6 Kowalczyk, Michał 6 Liu, Shuang 6 Lou, Yuan 6 Morita, Yoshihisa 6 Perthame, Benoît 6 Russ, Emmanuel 6 Tkachov, Pasha 6 Wang, Xinjian 6 Weng, Peixuan 6 Xin, Jack X. 6 Yi, Taishan 6 Zhang, Ran 6 Zhou, Jiangbo 5 Caffarelli, Luis Ángel 5 Calvez, Vincent ...and 975 more Authors all top 5 Cited in 193 Serials 140 Journal of Differential Equations 54 Journal of Dynamics and Differential Equations 48 Discrete and Continuous Dynamical Systems 41 Archive for Rational Mechanics and Analysis 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 39 Journal de Mathématiques Pures et Appliquées. Neuvième Série 37 Calculus of Variations and Partial Differential Equations 36 Nonlinear Analysis. Real World Applications 35 Discrete and Continuous Dynamical Systems. Series B 34 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 33 Journal of Mathematical Biology 32 Nonlinearity 28 Journal of Mathematical Analysis and Applications 23 Journal of Functional Analysis 23 Communications in Partial Differential Equations 22 SIAM Journal on Mathematical Analysis 22 Comptes Rendus. Mathématique. Académie des Sciences, Paris 20 Bulletin of Mathematical Biology 18 Proceedings of the American Mathematical Society 18 Transactions of the American Mathematical Society 18 Applied Mathematics Letters 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Annali di Matematica Pura ed Applicata. 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English Series 2 Journal of Scientific Computing 2 Japan Journal of Industrial and Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Potential Analysis 2 Journal of Mathematical Sciences (New York) 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Annals of Mathematics. Second Series 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Milan Journal of Mathematics 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Networks and Heterogeneous Media ...and 93 more Serials all top 5 Cited in 36 Fields 1,153 Partial differential equations (35-XX) 484 Biology and other natural sciences (92-XX) 99 Ordinary differential equations (34-XX) 89 Integral equations (45-XX) 77 Operator theory (47-XX) 76 Dynamical systems and ergodic theory (37-XX) 56 Fluid mechanics (76-XX) 47 Probability theory and stochastic processes (60-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 27 Classical thermodynamics, heat transfer (80-XX) 26 Difference and functional equations (39-XX) 25 Global analysis, analysis on manifolds (58-XX) 20 Differential geometry (53-XX) 20 Numerical analysis (65-XX) 15 Statistical mechanics, structure of matter (82-XX) 9 Real functions (26-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Potential theory (31-XX) 5 Functional analysis (46-XX) 5 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Convex and discrete geometry (52-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year