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## Monneau, Régis

Compute Distance To:
 Author ID: monneau.regis Published as: Monneau, R.; Monneau, Regis; Monneau, Régis External Links: MGP
 Documents Indexed: 111 Publications since 1998
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#### 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
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#### 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
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#### 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)

#### 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 1097.35078
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2005
One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056
Berestycki, H.; Hamel, F.; Monneau, R.
2000
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2006
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049
Biler, Piotr; Karch, Grzegorz; Monneau, Régis
2010
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
2013
Stability of travelling waves in a model for conical flames in two space dimensions. Zbl 1085.35075
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2004
Solutions of semilinear elliptic equations in $$\mathbb{R}^N$$ with conical-shaped level sets. Zbl 0952.35041
Hamel, François; Monneau, Régis
2000
Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks. Zbl 1382.35075
Imbert, Cyril; Monneau, Régis
2017
A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions. Zbl 1112.35108
El Soufi, A.; Jazar, M.; Monneau, R.
2007
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
2012
Dislocation dynamics: Short-time existence and uniqueness of the solution. Zbl 1158.74335
Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis
2006
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
2005
On the number of singularities for the obstacle problem in two dimensions. Zbl 1041.35093
Monneau, R.
2003
Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. Zbl 1154.35306
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2009
Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one. Zbl 1234.35267
González, María del Mar; Monneau, Regis
2012
Towards a counter-example to a conjecture of De Giorgi in high dimensions. Zbl 1105.35037
Jerison, David; Monneau, Régis
2004
Homogenization of first order equations with ($$u/\varepsilon$$)-periodic Hamiltonians part II: Application to dislocations dynamics. Zbl 1143.35005
Imbert, Cyril; Monneau, Régis; Rouy, Elisabeth
2008
An unstable elliptic free boundary problem arising in solid combustion. Zbl 1119.35123
Monneau, R.; Weiss, G. S.
2007
Homogenization of first-order equations with $$(u/\varepsilon)$$-periodic Hamiltonians. I: Local equations. Zbl 1127.70009
Imbert, Cyril; Monneau, Régis
2008
On the junction of elastic plates and beams. Zbl 1032.74037
Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali
2002
On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. Zbl 1100.35124
Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis
2006
Homogenization of fully overdamped Frenkel-Kontorova models. Zbl 1171.49023
Forcadel, N.; Imbert, C.; Monneau, R.
2009
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
2008
Junction of elastic plates and beams. Zbl 1133.35322
Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali
2007
Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method. Zbl 1030.74030
Monneau, R.
2003
Quasilinear elliptic system arising in a three-dimensional type-II superconductor for infinite $$\kappa$$. Zbl 1015.35089
Monneau, R.
2003
Homogenization of the Peierls-Nabarro model for dislocation dynamics. Zbl 1264.35264
Monneau, Régis; Patrizi, Stefania
2012
Convergence of a generalized fast-marching method for an eikonal equation with a velocity-changing sign. Zbl 1180.65112
Carlini, E.; Falcone, M.; Forcadel, N.; Monneau, R.
2008
Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case. Zbl 1391.35106
Imbert, Cyril; Monneau, Régis
2017
Derivation of seawater intrusion models by formal asymptotics. Zbl 06371667
Jazar, M.; Monneau, R.
2014
Dislocation dynamics: from microscopic models to macroscopic crystal plasticity. Zbl 1178.35047
El Hajj, A.; Ibrahim, H.; Monneau, R.
2009
Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as $$\kappa\to +\infty$$. Zbl 0970.35031
Bonnet, A.; Chapman, S. J.; Monneau, R.
2000
A junction condition by specified homogenization and application to traffic lights. Zbl 1331.35034
Galise, Giulio; Imbert, Cyril; Monneau, Régis
2015
Homogenization of accelerated Frenkel-Kontorova models with $$n$$ types of particles. Zbl 1276.35024
Forcadel, N.; Imbert, C.; Monneau, R.
2012
Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. Zbl 1193.35218
Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis
2010
Pointwise estimates for Laplace equation. Applications to the free boundary of the obstacle problem with Dini coefficients. Zbl 1178.35142
Monneau, R.
2009
Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics. Zbl 1158.35324
Da Lio, Francesca; Forcadel, N.; Monneau, Régis
2008
A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. Zbl 1103.65100
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E.
2006
Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. Zbl 1049.35005
Alvarez, Olivier; Hoch, Philippe; Le Bouar, Yann; Monneau, Régis
2004
Existence and uniqueness for a free boundary problem arising in combustion theory. Zbl 1078.80004
Hamel, F.; Monneau, R.
2002
Distribution of vortices in a type-II superconductor as a free boundary problem: Existence and regularity via Nash-Moser theory. Zbl 0989.35146
Bonnet, A.; Monneau, R.
2000
A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic. Zbl 1312.65130
Costeseque, Guillaume; Lebacque, Jean-Patrick; Monneau, Régis
2015
Derivation of Orowan’s law from the Peierls-Nabarro model. Zbl 1255.35215
Monneau, Régis; Patrizi, Stefania
2012
Convergence of a first order scheme for a nonlocal eikonal equation. Zbl 1100.65072
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E.
2006
On the one-dimensional parabolic obstacle problem with variable coefficients. Zbl 1081.35159
Blanchet, A.; Dolbeault, J.; Monneau, R.
2005
A brief overview on the obstacle problem. Zbl 1027.35164
Monneau, Regis
2001
A non-local free boundary problem arising in a theory of financial bubbles. Zbl 1353.91049
Berestycki, Henri; Monneau, Regis; Scheinkman, José A.
2014
Counter-example in three dimension and homogenization of geometric motions in two dimension. Zbl 1293.35026
Caffarelli, L. A.; Monneau, R.
2014
Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models. Zbl 1285.82049
Haj, M. Al; Forcadel, N.; Monneau, R.
2013
A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. Zbl 1248.65097
Cacace, S.; Chambolle, A.; Monneau, R.
2012
The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model. Zbl 1230.49024
Fino, A. Z.; Ibrahim, H.; Monneau, R.
2012
Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 1034.35047
Dolbeault, Jean; Monneau, Régis
2002
Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates. Zbl 1292.82052
El Kass, D.; Monneau, R.
2014
Uniqueness and existence of spirals moving by forced mean curvature motion. Zbl 1273.35164
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2012
On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations. Zbl 1232.34084
Ibrahim, H.; Monneau, R.
2010
Global continuous solutions for diagonal hyperbolic systems with large and monotone data. Zbl 1198.35143
El Hajj, Ahmad; Monneau, Régis
2010
Dynamics of dislocation densities in a bounded channel. II: Existence of weak solutions to a singular Hamilton-Jacobi/Parabolic strongly coupled system. Zbl 1175.70020
Ibrahim, H.; Jazar, M.; Monneau, R.
2009
A numerical study for the homogenisation of one-dimensional models describing the motion of dislocations. Zbl 1178.65098
Ghorbel, M-A.; Hoch, P.; Monneau, R.
2008
Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012
Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R.
2007
Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients. Zbl 1286.35275
Lindgren, Erik; Monneau, Régis
2013
A generalized fast marching method for dislocation dynamics. Zbl 1233.82044
Carlini, Elisabetta; Forcadel, Nicolas; Monneau, Régis
2011
Erratum to “On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients”. Zbl 1269.35049
Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis
2010
Self-propagating high temperature synthesis (SHS) in the high activation energy regime. Zbl 1136.80007
Monneau, Régis; Weiss, Georg Sebastian
2007
Symmetry and nonuniformly elliptic operators. Zbl 1212.35033
Dolbeault, Jean; Felmer, Patricio; Monneau, Régis
2005
Uniform elliptic estimate for an infinite plate in linear elasticity. Zbl 1129.35353
Monneau, R.
2004
Screening of an applied electric field inside a metallic layer described by the Thomas-Fermi-von Weizsäcker model. Zbl 1174.82342
Blanc, X.; Monneau, R.
2002
Uniqueness results for diagonal hyperbolic systems with large and monotone data. Zbl 1284.35007
El Hajj, Ahmad; Monneau, Régis
2013
Well-posedness and numerical analysis of a one-dimensional non-local transport equation modelling dislocations dynamics. Zbl 1201.35084
Ghorbel, A.; Monneau, R.
2010
Dynamics of dislocation densities in a bounded channel. I: Smooth solutions to a singular coupled parabolic system. Zbl 1191.35150
Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis
2010
Global existence of solutions to a singular parabolic/Hamilton-Jacobi coupled system with Dirichlet conditions. Zbl 1166.35313
Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis
2008
A new 3d-2d interior error estimate independent on the geometry of a linear elastic plate. Zbl 1115.35027
Monneau, R.
2006
Non-convexity of level sets in convex rings for semilinear elliptic problems. Zbl 1237.35062
Monneau, Régis; Shahgholian, Henrik
2005
Conical-shaped travelling fronts allied to the mathematical analysis of the shape of premixed Bunsen flames. Zbl 1271.35035
Hamel, F.; Monneau, R.
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 1014.35037
Jerison, David; Monneau, Régis
2001
Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 0965.35066
Dolbeault, Jean; Monneau, Régis
2000
Solutions of semilinear elliptic equations in $$\mathbb{R}^N$$ with conical-shaped level sets. Zbl 0990.35049
Hamel, François; Monneau, Régis
1998
Bubbles in assets with finite life. Zbl 1417.91222
Berestycki, Henri; Bruggeman, Cameron; Monneau, Regis; Scheinkman, José A.
2019
Existence result for degenerate cross-diffusion system with application to seawater intrusion. Zbl 1410.35106
Alkhayal, Jana; Issa, Samar; Jazar, Mustapha; Monneau, Régis
2018
A new contraction family for porous medium and fast diffusion equations. Zbl 1338.35355
Chmaycem, Ghada; Jazar, M.; Monneau, R.
2016
A fast-marching like algorithm for geometrical shock dynamics. Zbl 1351.76176
Noumir, Y.; Le Guilcher, A.; Lardjane, N.; Monneau, R.; Sarrazin, A.
2015
Travelling graphs for the forced mean curvature motion in an arbitrary space dimension. Zbl 1386.35186
Monneau, Régis; Roquejoffre, Jean-Michel; Roussier-Michon, Violaine
2013
Diffusion as a singular homogenization of the Frenkel-Kontorova model. Zbl 1222.35018
Alibaud, N.; Briani, A.; Monneau, R.
2011
Existence of solutions for a model describing the dynamics of junctions between dislocations. Zbl 1181.35128
Forcadel, Nicolas; Monneau, Régis
2009
Pulsating traveling waves in the singular limit of a reaction-diffusion system in solid combustion. Zbl 1178.35121
Monneau, R.; Weiss, G. S.
2009
On a parabolic logarithmic Sobolev inequality. Zbl 1180.46024
Ibrahim, H.; Monneau, R.
2009
Harnack inequalities and discrete-continuous error estimates for a chain of atoms with two-body interactions. Zbl 1174.82007
Benguria, R.; Dolbeault, J.; Monneau, R.
2009
Time-homogenization of a first order system arising in the modelling of the dynamics of dislocation densities. Zbl 1175.35008
Briani, Ariela; Monneau, Régis
2009
Viscosity solutions for particle systems and homogenization of dislocation dynamics. Zbl 1221.35049
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2008
Some remarks on the asymptotic invertibility of the linearized operator of nonlinear elasticity in the context of the displacement approach. Zbl 1097.35011
Monneau, R.
2006
On the mushy region arising between two fluids in a porous medium. Zbl 1075.35114
Bonnet, A.; Monneau, R.
2004
Bubbles in assets with finite life. Zbl 1417.91222
Berestycki, Henri; Bruggeman, Cameron; Monneau, Regis; Scheinkman, José A.
2019
Existence result for degenerate cross-diffusion system with application to seawater intrusion. Zbl 1410.35106
Alkhayal, Jana; Issa, Samar; Jazar, Mustapha; Monneau, Régis
2018
Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks. Zbl 1382.35075
Imbert, Cyril; Monneau, Régis
2017
Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case. Zbl 1391.35106
Imbert, Cyril; Monneau, Régis
2017
A new contraction family for porous medium and fast diffusion equations. Zbl 1338.35355
Chmaycem, Ghada; Jazar, M.; Monneau, R.
2016
A junction condition by specified homogenization and application to traffic lights. Zbl 1331.35034
Galise, Giulio; Imbert, Cyril; Monneau, Régis
2015
A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic. Zbl 1312.65130
Costeseque, Guillaume; Lebacque, Jean-Patrick; Monneau, Régis
2015
A fast-marching like algorithm for geometrical shock dynamics. Zbl 1351.76176
Noumir, Y.; Le Guilcher, A.; Lardjane, N.; Monneau, R.; Sarrazin, A.
2015
Derivation of seawater intrusion models by formal asymptotics. Zbl 06371667
Jazar, M.; Monneau, R.
2014
A non-local free boundary problem arising in a theory of financial bubbles. Zbl 1353.91049
Berestycki, Henri; Monneau, Regis; Scheinkman, José A.
2014
Counter-example in three dimension and homogenization of geometric motions in two dimension. Zbl 1293.35026
Caffarelli, L. A.; Monneau, R.
2014
Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates. Zbl 1292.82052
El Kass, D.; Monneau, R.
2014
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
2013
Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models. Zbl 1285.82049
Haj, M. Al; Forcadel, N.; Monneau, R.
2013
Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients. Zbl 1286.35275
Lindgren, Erik; Monneau, Régis
2013
Uniqueness results for diagonal hyperbolic systems with large and monotone data. Zbl 1284.35007
El Hajj, Ahmad; Monneau, Régis
2013
Travelling graphs for the forced mean curvature motion in an arbitrary space dimension. Zbl 1386.35186
Monneau, Régis; Roquejoffre, Jean-Michel; Roussier-Michon, Violaine
2013
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
2012
Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one. Zbl 1234.35267
González, María del Mar; Monneau, Regis
2012
Homogenization of the Peierls-Nabarro model for dislocation dynamics. Zbl 1264.35264
Monneau, Régis; Patrizi, Stefania
2012
Homogenization of accelerated Frenkel-Kontorova models with $$n$$ types of particles. Zbl 1276.35024
Forcadel, N.; Imbert, C.; Monneau, R.
2012
Derivation of Orowan’s law from the Peierls-Nabarro model. Zbl 1255.35215
Monneau, Régis; Patrizi, Stefania
2012
A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. Zbl 1248.65097
Cacace, S.; Chambolle, A.; Monneau, R.
2012
The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model. Zbl 1230.49024
Fino, A. Z.; Ibrahim, H.; Monneau, R.
2012
Uniqueness and existence of spirals moving by forced mean curvature motion. Zbl 1273.35164
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2012
A generalized fast marching method for dislocation dynamics. Zbl 1233.82044
Carlini, Elisabetta; Forcadel, Nicolas; Monneau, Régis
2011
Diffusion as a singular homogenization of the Frenkel-Kontorova model. Zbl 1222.35018
Alibaud, N.; Briani, A.; Monneau, R.
2011
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049
Biler, Piotr; Karch, Grzegorz; Monneau, Régis
2010
Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. Zbl 1193.35218
Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis
2010
On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations. Zbl 1232.34084
Ibrahim, H.; Monneau, R.
2010
Global continuous solutions for diagonal hyperbolic systems with large and monotone data. Zbl 1198.35143
El Hajj, Ahmad; Monneau, Régis
2010
Erratum to “On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients”. Zbl 1269.35049
Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis
2010
Well-posedness and numerical analysis of a one-dimensional non-local transport equation modelling dislocations dynamics. Zbl 1201.35084
Ghorbel, A.; Monneau, R.
2010
Dynamics of dislocation densities in a bounded channel. I: Smooth solutions to a singular coupled parabolic system. Zbl 1191.35150
Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis
2010
Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. Zbl 1154.35306
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2009
Homogenization of fully overdamped Frenkel-Kontorova models. Zbl 1171.49023
Forcadel, N.; Imbert, C.; Monneau, R.
2009
Dislocation dynamics: from microscopic models to macroscopic crystal plasticity. Zbl 1178.35047
El Hajj, A.; Ibrahim, H.; Monneau, R.
2009
Pointwise estimates for Laplace equation. Applications to the free boundary of the obstacle problem with Dini coefficients. Zbl 1178.35142
Monneau, R.
2009
Dynamics of dislocation densities in a bounded channel. II: Existence of weak solutions to a singular Hamilton-Jacobi/Parabolic strongly coupled system. Zbl 1175.70020
Ibrahim, H.; Jazar, M.; Monneau, R.
2009
Existence of solutions for a model describing the dynamics of junctions between dislocations. Zbl 1181.35128
Forcadel, Nicolas; Monneau, Régis
2009
Pulsating traveling waves in the singular limit of a reaction-diffusion system in solid combustion. Zbl 1178.35121
Monneau, R.; Weiss, G. S.
2009
On a parabolic logarithmic Sobolev inequality. Zbl 1180.46024
Ibrahim, H.; Monneau, R.
2009
Harnack inequalities and discrete-continuous error estimates for a chain of atoms with two-body interactions. Zbl 1174.82007
Benguria, R.; Dolbeault, J.; Monneau, R.
2009
Time-homogenization of a first order system arising in the modelling of the dynamics of dislocation densities. Zbl 1175.35008
Briani, Ariela; Monneau, Régis
2009
Homogenization of first order equations with ($$u/\varepsilon$$)-periodic Hamiltonians part II: Application to dislocations dynamics. Zbl 1143.35005
Imbert, Cyril; Monneau, Régis; Rouy, Elisabeth
2008
Homogenization of first-order equations with $$(u/\varepsilon)$$-periodic Hamiltonians. I: Local equations. Zbl 1127.70009
Imbert, Cyril; Monneau, Régis
2008
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
2008
Convergence of a generalized fast-marching method for an eikonal equation with a velocity-changing sign. Zbl 1180.65112
Carlini, E.; Falcone, M.; Forcadel, N.; Monneau, R.
2008
Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics. Zbl 1158.35324
Da Lio, Francesca; Forcadel, N.; Monneau, Régis
2008
A numerical study for the homogenisation of one-dimensional models describing the motion of dislocations. Zbl 1178.65098
Ghorbel, M-A.; Hoch, P.; Monneau, R.
2008
Global existence of solutions to a singular parabolic/Hamilton-Jacobi coupled system with Dirichlet conditions. Zbl 1166.35313
Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis
2008
Viscosity solutions for particle systems and homogenization of dislocation dynamics. Zbl 1221.35049
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2008
A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions. Zbl 1112.35108
El Soufi, A.; Jazar, M.; Monneau, R.
2007
An unstable elliptic free boundary problem arising in solid combustion. Zbl 1119.35123
Monneau, R.; Weiss, G. S.
2007
Junction of elastic plates and beams. Zbl 1133.35322
Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali
2007
Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012
Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R.
2007
Self-propagating high temperature synthesis (SHS) in the high activation energy regime. Zbl 1136.80007
Monneau, Régis; Weiss, Georg Sebastian
2007
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2006
Dislocation dynamics: Short-time existence and uniqueness of the solution. Zbl 1158.74335
Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis
2006
On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. Zbl 1100.35124
Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis
2006
A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. Zbl 1103.65100
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E.
2006
Convergence of a first order scheme for a nonlocal eikonal equation. Zbl 1100.65072
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E.
2006
A new 3d-2d interior error estimate independent on the geometry of a linear elastic plate. Zbl 1115.35027
Monneau, R.
2006
Some remarks on the asymptotic invertibility of the linearized operator of nonlinear elasticity in the context of the displacement approach. Zbl 1097.35011
Monneau, R.
2006
Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2005
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
2005
On the one-dimensional parabolic obstacle problem with variable coefficients. Zbl 1081.35159
Blanchet, A.; Dolbeault, J.; Monneau, R.
2005
Symmetry and nonuniformly elliptic operators. Zbl 1212.35033
Dolbeault, Jean; Felmer, Patricio; Monneau, Régis
2005
Non-convexity of level sets in convex rings for semilinear elliptic problems. Zbl 1237.35062
Monneau, Régis; Shahgholian, Henrik
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
2004
Towards a counter-example to a conjecture of De Giorgi in high dimensions. Zbl 1105.35037
Jerison, David; Monneau, Régis
2004
Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. Zbl 1049.35005
Alvarez, Olivier; Hoch, Philippe; Le Bouar, Yann; Monneau, Régis
2004
Uniform elliptic estimate for an infinite plate in linear elasticity. Zbl 1129.35353
Monneau, R.
2004
On the mushy region arising between two fluids in a porous medium. Zbl 1075.35114
Bonnet, A.; Monneau, R.
2004
On the number of singularities for the obstacle problem in two dimensions. Zbl 1041.35093
Monneau, R.
2003
Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method. Zbl 1030.74030
Monneau, R.
2003
Quasilinear elliptic system arising in a three-dimensional type-II superconductor for infinite $$\kappa$$. Zbl 1015.35089
Monneau, R.
2003
On the junction of elastic plates and beams. Zbl 1032.74037
Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali
2002
Existence and uniqueness for a free boundary problem arising in combustion theory. Zbl 1078.80004
Hamel, F.; Monneau, R.
2002
Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 1034.35047
Dolbeault, Jean; Monneau, Régis
2002
Screening of an applied electric field inside a metallic layer described by the Thomas-Fermi-von Weizsäcker model. Zbl 1174.82342
Blanc, X.; Monneau, R.
2002
Conical-shaped travelling fronts allied to the mathematical analysis of the shape of premixed Bunsen flames. Zbl 1271.35035
Hamel, F.; Monneau, R.
2002
A brief overview on the obstacle problem. Zbl 1027.35164
Monneau, Regis
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 1014.35037
Jerison, David; Monneau, Régis
2001
One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056
Berestycki, H.; Hamel, F.; Monneau, R.
2000
Solutions of semilinear elliptic equations in $$\mathbb{R}^N$$ with conical-shaped level sets. Zbl 0952.35041
Hamel, François; Monneau, Régis
2000
Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as $$\kappa\to +\infty$$. Zbl 0970.35031
Bonnet, A.; Chapman, S. J.; Monneau, R.
2000
Distribution of vortices in a type-II superconductor as a free boundary problem: Existence and regularity via Nash-Moser theory. Zbl 0989.35146
Bonnet, A.; Monneau, R.
2000
Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 0965.35066
Dolbeault, Jean; Monneau, Régis
2000
Solutions of semilinear elliptic equations in $$\mathbb{R}^N$$ with conical-shaped level sets. Zbl 0990.35049
Hamel, François; Monneau, Régis
1998
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
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#### 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)