Edit Profile Monneau, Régis Compute Distance To: Compute Author ID: monneau.regis Published as: Monneau, R.; Monneau, Regis; Monneau, Régis External Links: MGP Documents Indexed: 111 Publications since 1998 all top 5 Co-Authors 14 single-authored 13 Forcadel, Nicolas 13 Imbert, Cyril 10 Jazar, Mustapha 9 Dolbeault, Jean 9 Hamel, François 9 Ibrahim, Hassan 5 Alvarez, Olivier 5 El Hajj, Ahmad 5 Roquejoffre, Jean-Michel 4 Bonnet, Alexis 4 Carlini, Elisabetta 3 Berestycki, Henri 3 Blanchet, Adrien 3 Cardaliaguet, Pierre 3 Hoch, Philippe 3 Lindgren, Erik 3 Rouy, Elisabeth 3 Weiss, Georg Sebastian 2 Alkhayal, Jana 2 Benguria, Rafael D. 2 Briani, Ariela 2 Chambolle, Antonin 2 Chapman, Stephen Jonathan 2 Da Lio, Francesca 2 Gaudiello, Antonio 2 Ghorbel, Ayoub 2 Haj, M. Al 2 Issa, Samar 2 Jerison, David S. 2 Le Bouar, Yann 2 Mossino, Jacqueline 2 Murat, François 2 Patrizi, Stefania 2 Scheinkman, José Alexandre 2 Sili, Ali 1 Alibaud, Nathaël 1 Barles, Guy 1 Biler, Piotr 1 Blanc, Xavier 1 Bruggeman, Cameron 1 Cacace, Simone 1 Caffarelli, Luis Ángel 1 Cannone, Marco 1 Catto, Isabelle 1 Chmaycem, Ghada 1 Costeseque, Guillaume 1 El Kass, D. 1 El Soufi, Ahmad 1 Falcone, Maurizio 1 Felmer, Patricio L. 1 Fino, Ahmad Z. 1 Galise, Giulio 1 Ghorbel, M-A. 1 González, María del Mar 1 Hajj Chehade, Hana 1 Karch, Grzegorz 1 Lardjane, Nicolas 1 Le Guilcher, A. 1 Lebacque, Jean Patrick 1 Ley, Olivier 1 Monasse, Laurent 1 Noumir, Youness 1 Ribaud, Francis 1 Roussier-Michon, Violaine 1 Roussignol, Michel 1 Sarrazin, A. 1 Shahgholian, Henrik 1 Tordeux, Antoine 1 Zidani, Hasnaa all top 5 Serials 8 Archive for Rational Mechanics and Analysis 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications in Partial Differential Equations 5 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Discrete and Continuous Dynamical Systems 5 Interfaces and Free Boundaries 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Differential and Integral Equations 2 Journal of Hyperbolic Differential Equations 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Acta Mathematica Universitatis Comenianae. New Series 1 SIAM Journal on Applied Mathematics 1 Continuum Mechanics and Thermodynamics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mathematics and Financial Economics 1 Analysis & PDE 1 International Journal of Computing Science and Mathematics all top 5 Fields 99 Partial differential equations (35-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 25 Mechanics of deformable solids (74-XX) 16 Statistical mechanics, structure of matter (82-XX) 11 Numerical analysis (65-XX) 6 Integral equations (45-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 4 Operations research, mathematical programming (90-XX) 3 Differential geometry (53-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 90 Publications have been cited 999 times in 612 Documents Cited by ▼ Year ▼ Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 60 2005 One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056Berestycki, H.; Hamel, F.; Monneau, R. 54 2000 Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 45 2006 Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049Biler, Piotr; Karch, Grzegorz; Monneau, Régis 44 2010 A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa 42 2013 Stability of travelling waves in a model for conical flames in two space dimensions. Zbl 1085.35075Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 36 2004 Solutions of semilinear elliptic equations in \(\mathbb{R}^N\) with conical-shaped level sets. Zbl 0952.35041Hamel, François; Monneau, Régis 34 2000 Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks. Zbl 1382.35075Imbert, Cyril; Monneau, Régis 29 2017 A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions. Zbl 1112.35108El Soufi, A.; Jazar, M.; Monneau, R. 29 2007 A Hölder infinity Laplacian. Zbl 1255.35078Chambolle, Antonin; Lindgren, Erik; Monneau, Régis 26 2012 Dislocation dynamics: Short-time existence and uniqueness of the solution. Zbl 1158.74335Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis 25 2006 Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148Alvarez, O.; Cardaliaguet, P.; Monneau, R. 25 2005 On the number of singularities for the obstacle problem in two dimensions. Zbl 1041.35093Monneau, R. 24 2003 Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. Zbl 1154.35306Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis 23 2009 Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one. Zbl 1234.35267González, María del Mar; Monneau, Regis 22 2012 Towards a counter-example to a conjecture of De Giorgi in high dimensions. Zbl 1105.35037Jerison, David; Monneau, Régis 22 2004 Homogenization of first order equations with (\(u/\varepsilon\))-periodic Hamiltonians part II: Application to dislocations dynamics. Zbl 1143.35005Imbert, Cyril; Monneau, Régis; Rouy, Elisabeth 20 2008 An unstable elliptic free boundary problem arising in solid combustion. Zbl 1119.35123Monneau, R.; Weiss, G. S. 20 2007 Homogenization of first-order equations with \((u/\varepsilon)\)-periodic Hamiltonians. I: Local equations. Zbl 1127.70009Imbert, Cyril; Monneau, Régis 19 2008 On the junction of elastic plates and beams. Zbl 1032.74037Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali 18 2002 On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. Zbl 1100.35124Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis 17 2006 Homogenization of fully overdamped Frenkel-Kontorova models. Zbl 1171.49023Forcadel, N.; Imbert, C.; Monneau, R. 16 2009 Global existence results and uniqueness for dislocation equations. Zbl 1158.49029Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis 16 2008 Junction of elastic plates and beams. Zbl 1133.35322Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali 16 2007 Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method. Zbl 1030.74030Monneau, R. 15 2003 Quasilinear elliptic system arising in a three-dimensional type-II superconductor for infinite \(\kappa\). Zbl 1015.35089Monneau, R. 15 2003 Homogenization of the Peierls-Nabarro model for dislocation dynamics. Zbl 1264.35264Monneau, Régis; Patrizi, Stefania 14 2012 Convergence of a generalized fast-marching method for an eikonal equation with a velocity-changing sign. Zbl 1180.65112Carlini, E.; Falcone, M.; Forcadel, N.; Monneau, R. 14 2008 Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case. Zbl 1391.35106Imbert, Cyril; Monneau, Régis 12 2017 Derivation of seawater intrusion models by formal asymptotics. Zbl 06371667Jazar, M.; Monneau, R. 10 2014 Dislocation dynamics: from microscopic models to macroscopic crystal plasticity. Zbl 1178.35047El Hajj, A.; Ibrahim, H.; Monneau, R. 10 2009 Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as \(\kappa\to +\infty\). Zbl 0970.35031Bonnet, A.; Chapman, S. J.; Monneau, R. 10 2000 A junction condition by specified homogenization and application to traffic lights. Zbl 1331.35034Galise, Giulio; Imbert, Cyril; Monneau, Régis 9 2015 Homogenization of accelerated Frenkel-Kontorova models with \(n\) types of particles. Zbl 1276.35024Forcadel, N.; Imbert, C.; Monneau, R. 9 2012 Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. Zbl 1193.35218Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis 9 2010 Pointwise estimates for Laplace equation. Applications to the free boundary of the obstacle problem with Dini coefficients. Zbl 1178.35142Monneau, R. 9 2009 Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics. Zbl 1158.35324Da Lio, Francesca; Forcadel, N.; Monneau, Régis 8 2008 A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. Zbl 1103.65100Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. 8 2006 Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. Zbl 1049.35005Alvarez, Olivier; Hoch, Philippe; Le Bouar, Yann; Monneau, Régis 8 2004 Existence and uniqueness for a free boundary problem arising in combustion theory. Zbl 1078.80004Hamel, F.; Monneau, R. 7 2002 Distribution of vortices in a type-II superconductor as a free boundary problem: Existence and regularity via Nash-Moser theory. Zbl 0989.35146Bonnet, A.; Monneau, R. 7 2000 A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic. Zbl 1312.65130Costeseque, Guillaume; Lebacque, Jean-Patrick; Monneau, Régis 6 2015 Derivation of Orowan’s law from the Peierls-Nabarro model. Zbl 1255.35215Monneau, Régis; Patrizi, Stefania 6 2012 Convergence of a first order scheme for a nonlocal eikonal equation. Zbl 1100.65072Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. 6 2006 On the one-dimensional parabolic obstacle problem with variable coefficients. Zbl 1081.35159Blanchet, A.; Dolbeault, J.; Monneau, R. 6 2005 A brief overview on the obstacle problem. Zbl 1027.35164Monneau, Regis 6 2001 A non-local free boundary problem arising in a theory of financial bubbles. Zbl 1353.91049Berestycki, Henri; Monneau, Regis; Scheinkman, José A. 5 2014 Counter-example in three dimension and homogenization of geometric motions in two dimension. Zbl 1293.35026Caffarelli, L. A.; Monneau, R. 5 2014 Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models. Zbl 1285.82049Haj, M. Al; Forcadel, N.; Monneau, R. 5 2013 A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. Zbl 1248.65097Cacace, S.; Chambolle, A.; Monneau, R. 5 2012 The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model. Zbl 1230.49024Fino, A. Z.; Ibrahim, H.; Monneau, R. 5 2012 Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 1034.35047Dolbeault, Jean; Monneau, Régis 5 2002 Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates. Zbl 1292.82052El Kass, D.; Monneau, R. 4 2014 Uniqueness and existence of spirals moving by forced mean curvature motion. Zbl 1273.35164Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis 4 2012 On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations. Zbl 1232.34084Ibrahim, H.; Monneau, R. 4 2010 Global continuous solutions for diagonal hyperbolic systems with large and monotone data. Zbl 1198.35143El Hajj, Ahmad; Monneau, Régis 4 2010 Dynamics of dislocation densities in a bounded channel. II: Existence of weak solutions to a singular Hamilton-Jacobi/Parabolic strongly coupled system. Zbl 1175.70020Ibrahim, H.; Jazar, M.; Monneau, R. 4 2009 A numerical study for the homogenisation of one-dimensional models describing the motion of dislocations. Zbl 1178.65098Ghorbel, M-A.; Hoch, P.; Monneau, R. 4 2008 Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R. 4 2007 Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients. Zbl 1286.35275Lindgren, Erik; Monneau, Régis 3 2013 A generalized fast marching method for dislocation dynamics. Zbl 1233.82044Carlini, Elisabetta; Forcadel, Nicolas; Monneau, Régis 3 2011 Erratum to “On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients”. Zbl 1269.35049Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis 3 2010 Self-propagating high temperature synthesis (SHS) in the high activation energy regime. Zbl 1136.80007Monneau, Régis; Weiss, Georg Sebastian 3 2007 Symmetry and nonuniformly elliptic operators. Zbl 1212.35033Dolbeault, Jean; Felmer, Patricio; Monneau, Régis 3 2005 Uniform elliptic estimate for an infinite plate in linear elasticity. Zbl 1129.35353Monneau, R. 3 2004 Screening of an applied electric field inside a metallic layer described by the Thomas-Fermi-von Weizsäcker model. Zbl 1174.82342Blanc, X.; Monneau, R. 3 2002 Uniqueness results for diagonal hyperbolic systems with large and monotone data. Zbl 1284.35007El Hajj, Ahmad; Monneau, Régis 2 2013 Well-posedness and numerical analysis of a one-dimensional non-local transport equation modelling dislocations dynamics. Zbl 1201.35084Ghorbel, A.; Monneau, R. 2 2010 Dynamics of dislocation densities in a bounded channel. I: Smooth solutions to a singular coupled parabolic system. Zbl 1191.35150Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis 2 2010 Global existence of solutions to a singular parabolic/Hamilton-Jacobi coupled system with Dirichlet conditions. Zbl 1166.35313Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis 2 2008 A new 3d-2d interior error estimate independent on the geometry of a linear elastic plate. Zbl 1115.35027Monneau, R. 2 2006 Non-convexity of level sets in convex rings for semilinear elliptic problems. Zbl 1237.35062Monneau, Régis; Shahgholian, Henrik 2 2005 Conical-shaped travelling fronts allied to the mathematical analysis of the shape of premixed Bunsen flames. Zbl 1271.35035Hamel, F.; Monneau, R. 2 2002 The existence of a symmetric global minimizer on \(\mathbb{R}^{n-1}\) implies the existence of a counter-example to a conjecture of De Giorgi in \(\mathbb{R}^n\). Zbl 1014.35037Jerison, David; Monneau, Régis 2 2001 Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 0965.35066Dolbeault, Jean; Monneau, Régis 2 2000 Solutions of semilinear elliptic equations in \(\mathbb{R}^N\) with conical-shaped level sets. Zbl 0990.35049Hamel, François; Monneau, Régis 2 1998 Bubbles in assets with finite life. Zbl 1417.91222Berestycki, Henri; Bruggeman, Cameron; Monneau, Regis; Scheinkman, José A. 1 2019 Existence result for degenerate cross-diffusion system with application to seawater intrusion. Zbl 1410.35106Alkhayal, Jana; Issa, Samar; Jazar, Mustapha; Monneau, Régis 1 2018 A new contraction family for porous medium and fast diffusion equations. Zbl 1338.35355Chmaycem, Ghada; Jazar, M.; Monneau, R. 1 2016 A fast-marching like algorithm for geometrical shock dynamics. Zbl 1351.76176Noumir, Y.; Le Guilcher, A.; Lardjane, N.; Monneau, R.; Sarrazin, A. 1 2015 Travelling graphs for the forced mean curvature motion in an arbitrary space dimension. Zbl 1386.35186Monneau, Régis; Roquejoffre, Jean-Michel; Roussier-Michon, Violaine 1 2013 Diffusion as a singular homogenization of the Frenkel-Kontorova model. Zbl 1222.35018Alibaud, N.; Briani, A.; Monneau, R. 1 2011 Existence of solutions for a model describing the dynamics of junctions between dislocations. Zbl 1181.35128Forcadel, Nicolas; Monneau, Régis 1 2009 Pulsating traveling waves in the singular limit of a reaction-diffusion system in solid combustion. Zbl 1178.35121Monneau, R.; Weiss, G. S. 1 2009 On a parabolic logarithmic Sobolev inequality. Zbl 1180.46024Ibrahim, H.; Monneau, R. 1 2009 Harnack inequalities and discrete-continuous error estimates for a chain of atoms with two-body interactions. Zbl 1174.82007Benguria, R.; Dolbeault, J.; Monneau, R. 1 2009 Time-homogenization of a first order system arising in the modelling of the dynamics of dislocation densities. Zbl 1175.35008Briani, Ariela; Monneau, Régis 1 2009 Viscosity solutions for particle systems and homogenization of dislocation dynamics. Zbl 1221.35049Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis 1 2008 Some remarks on the asymptotic invertibility of the linearized operator of nonlinear elasticity in the context of the displacement approach. Zbl 1097.35011Monneau, R. 1 2006 On the mushy region arising between two fluids in a porous medium. Zbl 1075.35114Bonnet, A.; Monneau, R. 1 2004 Bubbles in assets with finite life. Zbl 1417.91222Berestycki, Henri; Bruggeman, Cameron; Monneau, Regis; Scheinkman, José A. 1 2019 Existence result for degenerate cross-diffusion system with application to seawater intrusion. Zbl 1410.35106Alkhayal, Jana; Issa, Samar; Jazar, Mustapha; Monneau, Régis 1 2018 Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks. Zbl 1382.35075Imbert, Cyril; Monneau, Régis 29 2017 Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case. Zbl 1391.35106Imbert, Cyril; Monneau, Régis 12 2017 A new contraction family for porous medium and fast diffusion equations. Zbl 1338.35355Chmaycem, Ghada; Jazar, M.; Monneau, R. 1 2016 A junction condition by specified homogenization and application to traffic lights. Zbl 1331.35034Galise, Giulio; Imbert, Cyril; Monneau, Régis 9 2015 A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic. Zbl 1312.65130Costeseque, Guillaume; Lebacque, Jean-Patrick; Monneau, Régis 6 2015 A fast-marching like algorithm for geometrical shock dynamics. Zbl 1351.76176Noumir, Y.; Le Guilcher, A.; Lardjane, N.; Monneau, R.; Sarrazin, A. 1 2015 Derivation of seawater intrusion models by formal asymptotics. Zbl 06371667Jazar, M.; Monneau, R. 10 2014 A non-local free boundary problem arising in a theory of financial bubbles. Zbl 1353.91049Berestycki, Henri; Monneau, Regis; Scheinkman, José A. 5 2014 Counter-example in three dimension and homogenization of geometric motions in two dimension. Zbl 1293.35026Caffarelli, L. A.; Monneau, R. 5 2014 Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates. Zbl 1292.82052El Kass, D.; Monneau, R. 4 2014 A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa 42 2013 Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models. Zbl 1285.82049Haj, M. Al; Forcadel, N.; Monneau, R. 5 2013 Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients. Zbl 1286.35275Lindgren, Erik; Monneau, Régis 3 2013 Uniqueness results for diagonal hyperbolic systems with large and monotone data. Zbl 1284.35007El Hajj, Ahmad; Monneau, Régis 2 2013 Travelling graphs for the forced mean curvature motion in an arbitrary space dimension. Zbl 1386.35186Monneau, Régis; Roquejoffre, Jean-Michel; Roussier-Michon, Violaine 1 2013 A Hölder infinity Laplacian. Zbl 1255.35078Chambolle, Antonin; Lindgren, Erik; Monneau, Régis 26 2012 Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one. Zbl 1234.35267González, María del Mar; Monneau, Regis 22 2012 Homogenization of the Peierls-Nabarro model for dislocation dynamics. Zbl 1264.35264Monneau, Régis; Patrizi, Stefania 14 2012 Homogenization of accelerated Frenkel-Kontorova models with \(n\) types of particles. Zbl 1276.35024Forcadel, N.; Imbert, C.; Monneau, R. 9 2012 Derivation of Orowan’s law from the Peierls-Nabarro model. Zbl 1255.35215Monneau, Régis; Patrizi, Stefania 6 2012 A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. Zbl 1248.65097Cacace, S.; Chambolle, A.; Monneau, R. 5 2012 The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model. Zbl 1230.49024Fino, A. Z.; Ibrahim, H.; Monneau, R. 5 2012 Uniqueness and existence of spirals moving by forced mean curvature motion. Zbl 1273.35164Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis 4 2012 A generalized fast marching method for dislocation dynamics. Zbl 1233.82044Carlini, Elisabetta; Forcadel, Nicolas; Monneau, Régis 3 2011 Diffusion as a singular homogenization of the Frenkel-Kontorova model. Zbl 1222.35018Alibaud, N.; Briani, A.; Monneau, R. 1 2011 Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049Biler, Piotr; Karch, Grzegorz; Monneau, Régis 44 2010 Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. Zbl 1193.35218Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis 9 2010 On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations. Zbl 1232.34084Ibrahim, H.; Monneau, R. 4 2010 Global continuous solutions for diagonal hyperbolic systems with large and monotone data. Zbl 1198.35143El Hajj, Ahmad; Monneau, Régis 4 2010 Erratum to “On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients”. Zbl 1269.35049Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis 3 2010 Well-posedness and numerical analysis of a one-dimensional non-local transport equation modelling dislocations dynamics. Zbl 1201.35084Ghorbel, A.; Monneau, R. 2 2010 Dynamics of dislocation densities in a bounded channel. I: Smooth solutions to a singular coupled parabolic system. Zbl 1191.35150Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis 2 2010 Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. Zbl 1154.35306Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis 23 2009 Homogenization of fully overdamped Frenkel-Kontorova models. Zbl 1171.49023Forcadel, N.; Imbert, C.; Monneau, R. 16 2009 Dislocation dynamics: from microscopic models to macroscopic crystal plasticity. Zbl 1178.35047El Hajj, A.; Ibrahim, H.; Monneau, R. 10 2009 Pointwise estimates for Laplace equation. Applications to the free boundary of the obstacle problem with Dini coefficients. Zbl 1178.35142Monneau, R. 9 2009 Dynamics of dislocation densities in a bounded channel. II: Existence of weak solutions to a singular Hamilton-Jacobi/Parabolic strongly coupled system. Zbl 1175.70020Ibrahim, H.; Jazar, M.; Monneau, R. 4 2009 Existence of solutions for a model describing the dynamics of junctions between dislocations. Zbl 1181.35128Forcadel, Nicolas; Monneau, Régis 1 2009 Pulsating traveling waves in the singular limit of a reaction-diffusion system in solid combustion. Zbl 1178.35121Monneau, R.; Weiss, G. S. 1 2009 On a parabolic logarithmic Sobolev inequality. Zbl 1180.46024Ibrahim, H.; Monneau, R. 1 2009 Harnack inequalities and discrete-continuous error estimates for a chain of atoms with two-body interactions. Zbl 1174.82007Benguria, R.; Dolbeault, J.; Monneau, R. 1 2009 Time-homogenization of a first order system arising in the modelling of the dynamics of dislocation densities. Zbl 1175.35008Briani, Ariela; Monneau, Régis 1 2009 Homogenization of first order equations with (\(u/\varepsilon\))-periodic Hamiltonians part II: Application to dislocations dynamics. Zbl 1143.35005Imbert, Cyril; Monneau, Régis; Rouy, Elisabeth 20 2008 Homogenization of first-order equations with \((u/\varepsilon)\)-periodic Hamiltonians. I: Local equations. Zbl 1127.70009Imbert, Cyril; Monneau, Régis 19 2008 Global existence results and uniqueness for dislocation equations. Zbl 1158.49029Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis 16 2008 Convergence of a generalized fast-marching method for an eikonal equation with a velocity-changing sign. Zbl 1180.65112Carlini, E.; Falcone, M.; Forcadel, N.; Monneau, R. 14 2008 Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics. Zbl 1158.35324Da Lio, Francesca; Forcadel, N.; Monneau, Régis 8 2008 A numerical study for the homogenisation of one-dimensional models describing the motion of dislocations. Zbl 1178.65098Ghorbel, M-A.; Hoch, P.; Monneau, R. 4 2008 Global existence of solutions to a singular parabolic/Hamilton-Jacobi coupled system with Dirichlet conditions. Zbl 1166.35313Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis 2 2008 Viscosity solutions for particle systems and homogenization of dislocation dynamics. Zbl 1221.35049Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis 1 2008 A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions. Zbl 1112.35108El Soufi, A.; Jazar, M.; Monneau, R. 29 2007 An unstable elliptic free boundary problem arising in solid combustion. Zbl 1119.35123Monneau, R.; Weiss, G. S. 20 2007 Junction of elastic plates and beams. Zbl 1133.35322Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali 16 2007 Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R. 4 2007 Self-propagating high temperature synthesis (SHS) in the high activation energy regime. Zbl 1136.80007Monneau, Régis; Weiss, Georg Sebastian 3 2007 Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 45 2006 Dislocation dynamics: Short-time existence and uniqueness of the solution. Zbl 1158.74335Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis 25 2006 On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. Zbl 1100.35124Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis 17 2006 A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. Zbl 1103.65100Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. 8 2006 Convergence of a first order scheme for a nonlocal eikonal equation. Zbl 1100.65072Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. 6 2006 A new 3d-2d interior error estimate independent on the geometry of a linear elastic plate. Zbl 1115.35027Monneau, R. 2 2006 Some remarks on the asymptotic invertibility of the linearized operator of nonlinear elasticity in the context of the displacement approach. Zbl 1097.35011Monneau, R. 1 2006 Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 60 2005 Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148Alvarez, O.; Cardaliaguet, P.; Monneau, R. 25 2005 On the one-dimensional parabolic obstacle problem with variable coefficients. Zbl 1081.35159Blanchet, A.; Dolbeault, J.; Monneau, R. 6 2005 Symmetry and nonuniformly elliptic operators. Zbl 1212.35033Dolbeault, Jean; Felmer, Patricio; Monneau, Régis 3 2005 Non-convexity of level sets in convex rings for semilinear elliptic problems. Zbl 1237.35062Monneau, Régis; Shahgholian, Henrik 2 2005 Stability of travelling waves in a model for conical flames in two space dimensions. Zbl 1085.35075Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel 36 2004 Towards a counter-example to a conjecture of De Giorgi in high dimensions. Zbl 1105.35037Jerison, David; Monneau, Régis 22 2004 Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. Zbl 1049.35005Alvarez, Olivier; Hoch, Philippe; Le Bouar, Yann; Monneau, Régis 8 2004 Uniform elliptic estimate for an infinite plate in linear elasticity. Zbl 1129.35353Monneau, R. 3 2004 On the mushy region arising between two fluids in a porous medium. Zbl 1075.35114Bonnet, A.; Monneau, R. 1 2004 On the number of singularities for the obstacle problem in two dimensions. Zbl 1041.35093Monneau, R. 24 2003 Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method. Zbl 1030.74030Monneau, R. 15 2003 Quasilinear elliptic system arising in a three-dimensional type-II superconductor for infinite \(\kappa\). Zbl 1015.35089Monneau, R. 15 2003 On the junction of elastic plates and beams. Zbl 1032.74037Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali 18 2002 Existence and uniqueness for a free boundary problem arising in combustion theory. Zbl 1078.80004Hamel, F.; Monneau, R. 7 2002 Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 1034.35047Dolbeault, Jean; Monneau, Régis 5 2002 Screening of an applied electric field inside a metallic layer described by the Thomas-Fermi-von Weizsäcker model. Zbl 1174.82342Blanc, X.; Monneau, R. 3 2002 Conical-shaped travelling fronts allied to the mathematical analysis of the shape of premixed Bunsen flames. Zbl 1271.35035Hamel, F.; Monneau, R. 2 2002 A brief overview on the obstacle problem. Zbl 1027.35164Monneau, Regis 6 2001 The existence of a symmetric global minimizer on \(\mathbb{R}^{n-1}\) implies the existence of a counter-example to a conjecture of De Giorgi in \(\mathbb{R}^n\). Zbl 1014.35037Jerison, David; Monneau, Régis 2 2001 One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056Berestycki, H.; Hamel, F.; Monneau, R. 54 2000 Solutions of semilinear elliptic equations in \(\mathbb{R}^N\) with conical-shaped level sets. Zbl 0952.35041Hamel, François; Monneau, Régis 34 2000 Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as \(\kappa\to +\infty\). Zbl 0970.35031Bonnet, A.; Chapman, S. J.; Monneau, R. 10 2000 Distribution of vortices in a type-II superconductor as a free boundary problem: Existence and regularity via Nash-Moser theory. Zbl 0989.35146Bonnet, A.; Monneau, R. 7 2000 Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 0965.35066Dolbeault, Jean; Monneau, Régis 2 2000 Solutions of semilinear elliptic equations in \(\mathbb{R}^N\) with conical-shaped level sets. Zbl 0990.35049Hamel, François; Monneau, Régis 2 1998 all cited Publications top 5 cited Publications all top 5 Cited by 650 Authors 51 Monneau, Régis 17 Vazquez, Juan Luis 16 Hamel, François 15 Forcadel, Nicolas 14 Imbert, Cyril 12 El Hajj, Ahmad 11 Barles, Guy 11 Sheng, WeiJie 11 Valdinoci, Enrico 11 Wang, Zhi Cheng 11 Wei, Juncheng 10 Bu, Zhenhui 10 Caffarelli, Luis Ángel 10 Pan, Xingbin 10 Shahgholian, Henrik 10 Sire, Yannick 9 Camilli, Fabio 9 Patrizi, Stefania 9 Zhou, Jun 8 Cabré, Xavier 8 Gaudiello, Antonio 8 Ibrahim, Hassan 8 Müller, Stefan 8 Weiss, Georg Sebastian 8 Yi, Fahuai 7 Achdou, Yves 7 Berestycki, Henri 7 Gui, Changfeng 7 Guo, Hongjun 7 Poláčik, Peter 7 Rossi, Julio Daniel 7 Tchou, Nicoletta Anna 6 Alessio, Francesca 6 Andersson, John Erik 6 Blanchard, Dominique 6 Cardaliaguet, Pierre 6 Del Pino, Manuel A. 6 Dolbeault, Jean 6 Jazar, Mustapha 6 Lindgren, Erik 6 Montecchiari, Piero 6 Ninomiya, Hirokazu 6 Serfaty, Sylvia 6 Wang, Zhi Cheng 5 Chasseigne, Emmanuel 5 del Teso, Félix 5 Figalli, Alessio 5 Garofalo, Nicola 5 Khludnev, Aleksandr Mikhaĭlovich 5 Ley, Olivier 5 Li, Wan-Tong 5 Palatucci, Giampiero 5 Roquejoffre, Jean-Michel 5 Ros-Oton, Xavier 5 Souganidis, Panagiotis E. 5 Taniguchi, Masaharu 4 Alibaud, Nathaël 4 Blanchet, Adrien 4 Briani, Ariela 4 Carlini, Elisabetta 4 Chanillo, Sagun 4 Del Pezzo, Leandro M. 4 Dipierro, Serena 4 Dondl, Patrick Werner 4 Elmoataz, Abderrahim 4 Festa, Adriano 4 Focardi, Matteo 4 Garroni, Adriana 4 Griso, Georges 4 Karch, Grzegorz 4 Kowalczyk, Michał 4 Kuusi, Tuomo 4 Monteillet, Aurélien 4 Mora, Maria Giovanna 4 Mossino, Jacqueline 4 Murat, François 4 Salazar, Wilfredo 4 Sandier, Etienne 4 Spadaro, Emanuele Nunzio 4 Stan, Diana 4 van Meurs, Patrick 4 Wang, Kelei 4 Wang, Xiaoliu 4 Xiang, Xingfei 4 Yang, Zhou 3 Abels, Helmut 3 Alvarez, Olivier 3 Bao, Xiongxiong 3 Biler, Piotr 3 Bressan, Alberto 3 Cacace, Simone 3 Conti, Sergio 3 da Silva, João Vítor 3 Dao, Manh-Khang 3 Ding, Juntang 3 Du, Yihong 3 El Badia, Abdellatif 3 Fazly, Mostafa 3 Ferreira, Lucas Catão de Freitas 3 Gao, Wenjie ...and 550 more Authors all top 5 Cited in 152 Serials 52 Journal of Differential Equations 35 Archive for Rational Mechanics and Analysis 30 Calculus of Variations and Partial Differential Equations 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Discrete and Continuous Dynamical Systems 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Communications in Partial Differential Equations 17 Journal of Mathematical Analysis and Applications 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Advances in Mathematics 12 NoDEA. Nonlinear Differential Equations and Applications 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Journal of Functional Analysis 10 SIAM Journal on Mathematical Analysis 9 Transactions of the American Mathematical Society 8 Computers & Mathematics with Applications 8 Communications on Pure and Applied Mathematics 7 Communications in Mathematical Physics 7 Applied Mathematics Letters 6 Applicable Analysis 6 Journal of Mathematical Physics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal of the European Mathematical Society (JEMS) 6 Nonlinear Analysis. Real World Applications 5 Mathematics of Computation 5 Communications on Pure and Applied Analysis 5 Networks and Heterogeneous Media 5 Discrete and Continuous Dynamical Systems. Series S 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics and Optimization 4 Mathematische Annalen 4 Numerische Mathematik 4 Proceedings of the American Mathematical Society 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 SIAM Journal on Applied Mathematics 4 Journal of Dynamics and Differential Equations 4 Continuum Mechanics and Thermodynamics 4 Communications in Contemporary Mathematics 3 Mathematical Methods in the Applied Sciences 3 Inventiones Mathematicae 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Control and Optimization 3 Chinese Annals of Mathematics. Series B 3 European Journal of Applied Mathematics 3 Journal of Elasticity 3 Potential Analysis 3 SIAM Journal on Scientific Computing 3 Analysis and Applications (Singapore) 3 Science China. Mathematics 3 Journal of Elliptic and Parabolic Equations 2 Journal of Statistical Physics 2 Nonlinearity 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Memoirs of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Numerical Algorithms 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Mathematical Imaging and Vision 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Mathematics and Mechanics of Solids 2 Abstract and Applied Analysis 2 Fractional Calculus & Applied Analysis 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Annals of Mathematics. Second Series 2 Interfaces and Free Boundaries 2 Discrete and Continuous Dynamical Systems. Series B 2 Milan Journal of Mathematics 2 Journal of Hyperbolic Differential Equations 2 Journal of Fixed Point Theory and Applications 2 SIAM Journal on Imaging Sciences 2 Advances in Nonlinear Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Funkcialaj Ekvacioj. Serio Internacia 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Iranian Mathematical Society 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling ...and 52 more Serials all top 5 Cited in 39 Fields 533 Partial differential equations (35-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 84 Mechanics of deformable solids (74-XX) 49 Statistical mechanics, structure of matter (82-XX) 46 Numerical analysis (65-XX) 36 Fluid mechanics (76-XX) 28 Operator theory (47-XX) 22 Ordinary differential equations (34-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Integral equations (45-XX) 20 Operations research, mathematical programming (90-XX) 19 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Probability theory and stochastic processes (60-XX) 14 Mechanics of particles and systems (70-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Real functions (26-XX) 10 Optics, electromagnetic theory (78-XX) 10 Biology and other natural sciences (92-XX) 10 Systems theory; control (93-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Functional analysis (46-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year