×
Author ID: hamel.francois Recent zbMATH articles by "Hamel, François"
Published as: Hamel, François; Hamel, F.; Hamel, Francois
External Links: MGP
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

Publications by Year

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 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. Serie Quarta
15 SIAM Journal on Applied Mathematics
14 Mathematische Annalen
14 Communications on Pure and Applied Analysis
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 NoDEA. Nonlinear Differential Equations and Applications
13 Communications in Nonlinear Science and Numerical Simulation
11 Applicable Analysis
11 Advances in Mathematics
10 Communications in Mathematical Physics
9 Journal of Nonlinear Science
9 Journal of the European Mathematical Society (JEMS)
9 Communications in Contemporary Mathematics
8 Communications on Pure and Applied Mathematics
8 Mathematical Methods in the Applied Sciences
8 European Journal of Applied Mathematics
8 Electronic Journal of Differential Equations (EJDE)
8 Mathematics in Engineering
7 Applied Mathematics and Computation
7 Mathematical Modelling of Natural Phenomena
7 Discrete and Continuous Dynamical Systems. Series S
7 Science China. Mathematics
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Mathematical Physics
5 Journal of Statistical Physics
5 Theoretical Population Biology
5 Mathematical Biosciences and Engineering
5 International Journal of Biomathematics
5 Journal of Theoretical Biology
5 Séminaire Laurent Schwartz. EDP et Applications
4 Mathematical Biosciences
4 Memoirs of the American Mathematical Society
4 Physica D
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Difference Equations and Applications
4 Electronic Journal of Probability
4 Taiwanese Journal of Mathematics
4 Acta Mathematica Sinica. English Series
4 Qualitative Theory of Dynamical Systems
4 SIAM Journal on Applied Dynamical Systems
4 Advances in Difference Equations
4 Proceedings of the Steklov Institute of Mathematics
4 Electronic Research Archive
3 Osaka Journal of Mathematics
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
3 Journal of the American Mathematical Society
3 The Journal of Geometric Analysis
3 Computational and Applied Mathematics
3 Abstract and Applied Analysis
3 Fractional Calculus & Applied Analysis
3 Advanced Nonlinear Studies
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Journal of Elliptic and Parabolic Equations
3 SN Partial Differential Equations and Applications
2 Computers & Mathematics with Applications
2 Physica A
2 Applied Mathematics and Optimization
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 Indiana University Mathematics Journal
2 Mathematische Nachrichten
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Quarterly of Applied Mathematics
2 Annals of Global Analysis and Geometry
2 Acta Mathematicae Applicatae Sinica. 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