## Carles, Rémi

Compute Distance To:
 Author ID: carles.remi Published as: Carles, Rémi; Carles, R. Homepage: http://carles.perso.math.cnrs.fr/ External Links: MGP · ResearchGate · dblp
 Documents Indexed: 111 Publications since 1998, including 2 Books Co-Authors: 50 Co-Authors with 79 Joint Publications 1,214 Co-Co-Authors
all top 5

### Co-Authors

 32 single-authored 8 Sparber, Christof 7 Fermanian-Kammerer, Clotilde 5 Gallo, Clément 5 Rauch, Jeffrey B. 4 Alazard, Thomas 4 Alfaro, Matthieu 4 Besse, Christophe 4 Gallagher, Isabelle 4 Su, Chunmei 3 Banica, Valeria 3 Bao, Weizhu 3 Carrapatoso, Kleber 3 Hillairet, Matthieu 3 Mauser, Norbert Julius 3 Ozawa, Tohru 3 Stimming, Hans Peter 3 Tang, Qinglin 2 Antonelli, Paolo 2 Bony, Jean-François 2 Dumas, Éric 2 Duyckaerts, Thomas 2 Häfner, Dietrich 2 Hajaiej, Hichem 2 Markowich, Peter Alexander 2 Méhats, Florian 2 Michel, Laurent 2 Moulay, Emmanuel 2 Silva, Jorge Drumond 1 Hernandez Ardila, Alex 1 Bhimani, Divyang G. 1 Bouharguane, Afaf 1 Cao, Pei 1 Danchin, Raphaël 1 Ervedoza, Sylvain 1 Faou, Erwan 1 Ferriere, Guillaume 1 Gosse, Laurent 1 Kappeler, Thomas 1 Keraani, Sahbi 1 Lannes, David 1 Lucha, Wolfgang 1 Masaki, Satoshi 1 Miller, Luc 1 Mohammadi, Bijan 1 Mouzaoui, Lounès 1 Nakamura, Yoshihisa 1 Nouri, Anne 1 Pelinovsky, Dmitry Efimovich 1 Saut, Jean-Claude 1 Staffilani, Gigliola
all top 5

### Serials

 5 Communications in Mathematical Physics 5 Nonlinearity 5 Communications in Partial Differential Equations 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Archive for Rational Mechanics and Analysis 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Asymptotic Analysis 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Communications in Contemporary Mathematics 3 Communications in Mathematical Sciences 3 Dynamics of Partial Differential Equations 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Reviews in Mathematical Physics 2 Bulletin de la Société Mathématique de France 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Séminaire Équations aux Dérivées Partielles 2 The Journal of Fourier Analysis and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Physics A: Mathematical and Theoretical 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Analysis & PDE 1 Annales Henri Lebesgue
all top 5

### Fields

 110 Partial differential equations (35-XX) 57 Quantum theory (81-XX) 17 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Numerical analysis (65-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

92 Publications have been cited 932 times in 584 Documents Cited by Year
Critical nonlinear Schrödinger equations with and without harmonic potential. Zbl 1029.35208
Carles, Rémi
2002
Remarks on nonlinear Schrödinger equations with harmonic potential. Zbl 1021.81013
Carles, R.
2002
On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
2008
On the role of quadratic oscillations in nonlinear Schrödinger equations. II: The $$L^2$$-critical case. Zbl 1115.35119
Carles, Rémi; Keraani, Sahbi
2007
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
2011
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
2012
Nonlinear Schrödinger equations with repulsive harmonic potential and applications. Zbl 1054.35090
Carles, Rémi
2003
Semi-classical analysis for nonlinear Schrödinger equations. Zbl 1153.35070
Carles, Rémi
2008
Geometric optics and instability for semi-classical Schrödinger equations. Zbl 1134.35098
Carles, Rémi
2007
Loss of regularity for supercritical nonlinear Schrödinger equations. Zbl 1161.35047
Alazard, Thomas; Carles, Rémi
2009
Scattering for nonlinear Schrödinger equation under partial harmonic confinement. Zbl 1309.35124
Antonelli, Paolo; Carles, Rémi; Silva, Jorge Drumond
2015
Energy cascades for NLS on the torus. Zbl 1238.35144
Carles, Rémi; Faou, Erwan
2012
Universal dynamics for the defocusing logarithmic Schrödinger equation. Zbl 1394.35467
Carles, Rémi; Gallagher, Isabelle
2018
Finite time extinction by nonlinear damping for the Schrödinger equation. Zbl 1228.35040
Carles, Rémi; Gallo, Clément
2011
Global existence results for nonlinear Schrödinger equations with quadratic potentials. Zbl 1086.35101
Carles, Rémi
2005
Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198
Banica, Valeria; Carles, Rémi; Staffilani, Gigliola
2008
Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations. Zbl 1029.35211
Carles, Rémi
2001
Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Zbl 1095.35044
Carles, Rémi
2005
Multiphase weakly nonlinear geometric optics for Schrödinger equations. Zbl 1210.35226
Carles, Rémi; Dumas, Eric; Sparber, Christof
2010
Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation. Zbl 1216.35131
Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas
2011
WKB analysis for nonlinear Schrödinger equations with potential. Zbl 1123.35062
Carles, Rémi
2007
Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin
2019
Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases. Zbl 1317.35228
Carles, Rémi; Hajaiej, Hichem
2015
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
2004
Explicit solutions for replicator-mutator equations: extinction versus acceleration. Zbl 1334.92286
Alfaro, Matthieu; Carles, Rémi
2014
Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation. Zbl 1031.35119
Carles, Rémi
2003
Nonlinear coherent states and Ehrenfest time for Schrödinger equation. Zbl 1210.35227
Carles, Rémi; Fermanian-Kammerer, Clotilde
2011
Supercritical geometric optics for nonlinear Schrödinger equations. Zbl 1179.35302
Alazard, Thomas; Carles, Rémi
2009
On scattering for NLS: from Euclidean to hyperbolic space. Zbl 1168.35316
Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas
2009
On Fourier time-splitting methods for nonlinear Schrödinger equations in the semiclassical limit. Zbl 1290.35238
Carles, Rémi
2013
On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity. Zbl 1368.65198
Carles, Rémi; Gallo, Clément
2017
Higher-order Schrödinger and Hartree-Fock equations. Zbl 1328.81100
Carles, Rémi; Lucha, Wolfgang; Moulay, Emmanuel
2015
On the Cauchy problem for the Hartree type equation in the Wiener algebra. Zbl 1293.35288
Carles, Rémi; Mouzaoui, Lounès
2014
Geometric optics with caustic crossing for some nonlinear Schrödinger equations. Zbl 0970.35143
Carles, Rémi
2000
On nonlinear Schrödinger-type equations with nonlinear damping. Zbl 1309.35125
Antonelli, Paolo; Carles, Rémi; Sparber, Christof
2015
Finite time extinction for nonlinear Schrödinger equation in 1D and 2D. Zbl 1328.35208
Carles, Rémi; Ozawa, Tohru
2015
Replicator-mutator equations with quadratic fitness. Zbl 1376.92037
Alfaro, Matthieu; Carles, Rémi
2017
Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. (Croissance de norme avec perte infinie de régularité pour les équations de Schrödinger périodiques en régularité négative.) Zbl 1428.35488
Carles, Rémi; Kappeler, Thomas
2017
A nonlinear adiabatic theorem for coherent states. Zbl 1231.81040
Carles, Rémi; Fermanian Kammerer, Clotilde
2011
Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2005
Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Zbl 1238.81120
Carles, Rémi; Sparber, Christof
2012
Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin
2019
On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. Zbl 1147.35094
Carles, Rémi
2008
Remarks on Wigner measures. (Remarques sur les mesures de Wigner.) Zbl 0984.35152
Carles, Rémi
2001
On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215
Carles, Rémi; Pelinovsky, Dmitry
2014
Large time behavior in nonlinear Schrödinger equations with time dependent potential. Zbl 1309.35128
Carles, Rémi; Silva, Jorge Drumond
2015
Semi-classical limit of Schrödinger–Poisson equations in space dimension $$n\geqslant 3$$. Zbl 1107.35018
Alazard, Thomas; Carles, Rémi
2007
Higher order Schrödinger equations. Zbl 1256.81034
Carles, Rémi; Moulay, Emmanuel
2012
On the time evolution of Wigner measures for Schrödinger equations. Zbl 1159.81034
Carles, Rémi; Fermanian-Kammerer, Clotilde; Mauser, Norbert J.; Stimming, Hans Peter
2009
Analyticity of the scattering operator for semilinear dispersive equations. Zbl 1173.35677
Carles, Rémi; Gallagher, Isabelle
2009
An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Zbl 1291.35333
Besse, Christophe; Carles, Rémi; Méhats, Florian
2013
Rotating points for the conformal NLS scattering operator. Zbl 1191.35270
Carles, Rémi
2009
Nonlinear Schrödinger equations with Stark potential. Zbl 1069.35083
Carles, Rémi; Nakamura, Yoshihisa
2004
(Semi)Classical limit of the Hartree equation with harmonic potential. Zbl 1099.35128
Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter
2005
Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: numerical evidence. Zbl 1156.35467
Besse, Christophe; Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter
2008
Geometric optics and instability for NLS and Davey-Stewartson models. Zbl 1273.35248
Carles, Rémi; Dumas, Eric; Sparber, Christof
2012
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity. Zbl 1167.35328
Alazard, Thomas; Carles, Rémi
2009
Rigidity results in generalized isothermal fluids. (Résultats de rigidité pour des fluides isothermes généralisés.) Zbl 1428.35348
Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu
2018
Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129
Alfaro, Matthieu; Carles, Rémi
2017
Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential. Zbl 1322.35123
Carles, Rémi
2015
On the role of quadratic oscillations in nonlinear Schrödinger equations. Zbl 1059.35134
Carles, Rémi; Fermanian Kammerer, Clotilde; Gallagher, Isabelle
2003
Semiclassical nonlinear Schrödinger equations with potential and focusing initial data. Zbl 1155.35090
Carles, Rémi; Miller, Luc
2004
Semi-classical wave packet dynamics for Hartree equations. Zbl 1239.35145
Cao, Pei; Carles, Rémi
2011
Focusing of spherical nonlinear pulses in $$\mathbb{R}^{1+3}$$ and absorption. (Absorption d’impulsions non linéaires radiales focalisantes dans $$\mathbb{R}^{1+3}$$.) Zbl 0988.35120
Carles, Rémi; Rauch, Jeffrey
2001
On instability for the cubic nonlinear Schrödinger equation. Zbl 1350.35179
Carles, Rémi
2007
A nonlinear Landau-Zener formula. Zbl 1275.81029
Carles, Rémi; Fermanian-Kammerer, Clotilde
2013
Semiclassical analysis for Hartree equation. Zbl 1161.35310
Carles, Rémi; Masaki, Satoshi
2008
Splitting methods for the nonlocal Fowler equation. Zbl 1286.65109
Bouharguane, Afaf; Carles, Rémi
2014
Focusing of spherical nonlinear pulses in $${\mathbb R}^{1+3}$$. Zbl 0983.35089
Carles, R.; Rauch, J.
2002
On the spin-1 Bose-Einstein condensates in the presence of Ioffe-Pritchard magnetic field. Zbl 1349.35352
Hajaiej, Hichem; Carles, Rémi
2016
Comportements précisés près d’une caustique en optique géométrique non linéaire. Zbl 0938.35108
Carles, Rémi
1998
Focusing on a line for nonlinear Schrödinger equations in $$\mathbb{R}^2$$. Zbl 0977.35131
Carles, Rémi
2000
Focusing of spherical nonlinear pulses in $$\mathbb{R}^{1+3}$$ and scattering. (Diffusion d’impulsions non linéaires radiales focalisantes dans $$\mathbb{R}^{1+3}$$.) Zbl 0985.35045
Carles, Rémi; Rauch, Jeffrey
2001
Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime. Zbl 1269.65104
2011
Focusing of spherical nonlinear pulses in $$\mathbb R^{1+3}$$. II: Nonlinear caustic. Zbl 1094.35081
Carles, Rémi; Rauch, Jeffrey
2004
Numerical aspects of nonlinear Schrödinger equations in the presence of caustics. Zbl 1162.35068
Carles, Rémi; Gosse, Laurent
2007
On the wave operator for the critical nonlinear Schrödinger equation. Zbl 1188.35174
Carles, Rémi; Ozawa, Tohru
2008
On semi-classical limit of nonlinear quantum scattering. (Limite semi-classique pour le scattering quantique non linéaire.) Zbl 1343.81202
Carles, Rémi
2016
Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement. Zbl 1328.35207
Carles, Rémi; Gallo, Clément
2015
The semi-classical Schrödinger equation with harmonic potential and nonlinear perturbation. (Équation de Schrödinger semi-classique avec potentiel harmonique et perturbation non-linéaire.) Zbl 1292.35273
Carles, Rémi
2002
Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081
Carles, Rémi; Lannes, David
2003
Scattering for the Schrödinger equation with a repulsive potential. (Scattering pour l’équation de Schrödinger en présence d’un potentiel répulsif.) Zbl 1047.35115
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2004
Focusing of spherical nonlinear pulses in $$\mathbb R^{1+3}$$. III: Sub and supercritical cases. Zbl 1095.35010
Carles, Rémi; Rauch, Jeffrey
2004
On Schrödinger equations with modified dispersion. Zbl 1256.35131
Carles, Rémi
2011
Logarithmic Schrödinger equation with quadratic potential. Zbl 1477.35233
Carles, Rémi; Ferriere, Guillaume
2021
Global dynamics below the ground states for NLS under partial harmonic confinement. Zbl 1475.35309
Ardila, Alex H.; Carles, Rémi
2021
Orbital stability vs. scattering in the cubic-quintic Schrödinger equation. Zbl 1471.35254
Carles, Rémi; Sparber, Christof
2021
WKB analysis of nonelliptic nonlinear Schrödinger equations. Zbl 1447.35292
Carles, Rémi; Gallo, Clément
2020
Nonlinear dynamics of semiclassical coherent states in periodic potentials. Zbl 1248.81075
Carles, Rémi; Sparber, Christof
2012
WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity. Zbl 1368.35244
Carles, Rémi; Gallo, Clément
2017
Semi-classical analysis for nonlinear Schrödinger equations. WKB analysis, focal points, coherent states. 2nd edition. Zbl 1448.35461
Carles, Rémi
2021
Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity. Zbl 1455.35232
Bhimani, Divyang G.; Carles, Rémi
2020
Logarithmic Schrödinger equation with quadratic potential. Zbl 1477.35233
Carles, Rémi; Ferriere, Guillaume
2021
Global dynamics below the ground states for NLS under partial harmonic confinement. Zbl 1475.35309
Ardila, Alex H.; Carles, Rémi
2021
Orbital stability vs. scattering in the cubic-quintic Schrödinger equation. Zbl 1471.35254
Carles, Rémi; Sparber, Christof
2021
Semi-classical analysis for nonlinear Schrödinger equations. WKB analysis, focal points, coherent states. 2nd edition. Zbl 1448.35461
Carles, Rémi
2021
WKB analysis of nonelliptic nonlinear Schrödinger equations. Zbl 1447.35292
Carles, Rémi; Gallo, Clément
2020
Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity. Zbl 1455.35232
Bhimani, Divyang G.; Carles, Rémi
2020
Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin
2019
Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin
2019
Universal dynamics for the defocusing logarithmic Schrödinger equation. Zbl 1394.35467
Carles, Rémi; Gallagher, Isabelle
2018
Rigidity results in generalized isothermal fluids. (Résultats de rigidité pour des fluides isothermes généralisés.) Zbl 1428.35348
Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu
2018
On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity. Zbl 1368.65198
Carles, Rémi; Gallo, Clément
2017
Replicator-mutator equations with quadratic fitness. Zbl 1376.92037
Alfaro, Matthieu; Carles, Rémi
2017
Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. (Croissance de norme avec perte infinie de régularité pour les équations de Schrödinger périodiques en régularité négative.) Zbl 1428.35488
Carles, Rémi; Kappeler, Thomas
2017
Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129
Alfaro, Matthieu; Carles, Rémi
2017
WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity. Zbl 1368.35244
Carles, Rémi; Gallo, Clément
2017
On the spin-1 Bose-Einstein condensates in the presence of Ioffe-Pritchard magnetic field. Zbl 1349.35352
Hajaiej, Hichem; Carles, Rémi
2016
On semi-classical limit of nonlinear quantum scattering. (Limite semi-classique pour le scattering quantique non linéaire.) Zbl 1343.81202
Carles, Rémi
2016
Scattering for nonlinear Schrödinger equation under partial harmonic confinement. Zbl 1309.35124
Antonelli, Paolo; Carles, Rémi; Silva, Jorge Drumond
2015
Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases. Zbl 1317.35228
Carles, Rémi; Hajaiej, Hichem
2015
Higher-order Schrödinger and Hartree-Fock equations. Zbl 1328.81100
Carles, Rémi; Lucha, Wolfgang; Moulay, Emmanuel
2015
On nonlinear Schrödinger-type equations with nonlinear damping. Zbl 1309.35125
Antonelli, Paolo; Carles, Rémi; Sparber, Christof
2015
Finite time extinction for nonlinear Schrödinger equation in 1D and 2D. Zbl 1328.35208
Carles, Rémi; Ozawa, Tohru
2015
Large time behavior in nonlinear Schrödinger equations with time dependent potential. Zbl 1309.35128
Carles, Rémi; Silva, Jorge Drumond
2015
Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential. Zbl 1322.35123
Carles, Rémi
2015
Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement. Zbl 1328.35207
Carles, Rémi; Gallo, Clément
2015
Explicit solutions for replicator-mutator equations: extinction versus acceleration. Zbl 1334.92286
Alfaro, Matthieu; Carles, Rémi
2014
On the Cauchy problem for the Hartree type equation in the Wiener algebra. Zbl 1293.35288
Carles, Rémi; Mouzaoui, Lounès
2014
On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215
Carles, Rémi; Pelinovsky, Dmitry
2014
Splitting methods for the nonlocal Fowler equation. Zbl 1286.65109
Bouharguane, Afaf; Carles, Rémi
2014
On Fourier time-splitting methods for nonlinear Schrödinger equations in the semiclassical limit. Zbl 1290.35238
Carles, Rémi
2013
An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Zbl 1291.35333
Besse, Christophe; Carles, Rémi; Méhats, Florian
2013
A nonlinear Landau-Zener formula. Zbl 1275.81029
Carles, Rémi; Fermanian-Kammerer, Clotilde
2013
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
2012
Energy cascades for NLS on the torus. Zbl 1238.35144
Carles, Rémi; Faou, Erwan
2012
Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Zbl 1238.81120
Carles, Rémi; Sparber, Christof
2012
Higher order Schrödinger equations. Zbl 1256.81034
Carles, Rémi; Moulay, Emmanuel
2012
Geometric optics and instability for NLS and Davey-Stewartson models. Zbl 1273.35248
Carles, Rémi; Dumas, Eric; Sparber, Christof
2012
Nonlinear dynamics of semiclassical coherent states in periodic potentials. Zbl 1248.81075
Carles, Rémi; Sparber, Christof
2012
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
2011
Finite time extinction by nonlinear damping for the Schrödinger equation. Zbl 1228.35040
Carles, Rémi; Gallo, Clément
2011
Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation. Zbl 1216.35131
Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas
2011
Nonlinear coherent states and Ehrenfest time for Schrödinger equation. Zbl 1210.35227
Carles, Rémi; Fermanian-Kammerer, Clotilde
2011
A nonlinear adiabatic theorem for coherent states. Zbl 1231.81040
Carles, Rémi; Fermanian Kammerer, Clotilde
2011
Semi-classical wave packet dynamics for Hartree equations. Zbl 1239.35145
Cao, Pei; Carles, Rémi
2011
Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime. Zbl 1269.65104
2011
On Schrödinger equations with modified dispersion. Zbl 1256.35131
Carles, Rémi
2011
Multiphase weakly nonlinear geometric optics for Schrödinger equations. Zbl 1210.35226
Carles, Rémi; Dumas, Eric; Sparber, Christof
2010
Loss of regularity for supercritical nonlinear Schrödinger equations. Zbl 1161.35047
Alazard, Thomas; Carles, Rémi
2009
Supercritical geometric optics for nonlinear Schrödinger equations. Zbl 1179.35302
Alazard, Thomas; Carles, Rémi
2009
On scattering for NLS: from Euclidean to hyperbolic space. Zbl 1168.35316
Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas
2009
On the time evolution of Wigner measures for Schrödinger equations. Zbl 1159.81034
Carles, Rémi; Fermanian-Kammerer, Clotilde; Mauser, Norbert J.; Stimming, Hans Peter
2009
Analyticity of the scattering operator for semilinear dispersive equations. Zbl 1173.35677
Carles, Rémi; Gallagher, Isabelle
2009
Rotating points for the conformal NLS scattering operator. Zbl 1191.35270
Carles, Rémi
2009
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity. Zbl 1167.35328
Alazard, Thomas; Carles, Rémi
2009
On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
2008
Semi-classical analysis for nonlinear Schrödinger equations. Zbl 1153.35070
Carles, Rémi
2008
Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198
Banica, Valeria; Carles, Rémi; Staffilani, Gigliola
2008
On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. Zbl 1147.35094
Carles, Rémi
2008
Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: numerical evidence. Zbl 1156.35467
Besse, Christophe; Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter
2008
Semiclassical analysis for Hartree equation. Zbl 1161.35310
Carles, Rémi; Masaki, Satoshi
2008
On the wave operator for the critical nonlinear Schrödinger equation. Zbl 1188.35174
Carles, Rémi; Ozawa, Tohru
2008
On the role of quadratic oscillations in nonlinear Schrödinger equations. II: The $$L^2$$-critical case. Zbl 1115.35119
Carles, Rémi; Keraani, Sahbi
2007
Geometric optics and instability for semi-classical Schrödinger equations. Zbl 1134.35098
Carles, Rémi
2007
WKB analysis for nonlinear Schrödinger equations with potential. Zbl 1123.35062
Carles, Rémi
2007
Semi-classical limit of Schrödinger–Poisson equations in space dimension $$n\geqslant 3$$. Zbl 1107.35018
Alazard, Thomas; Carles, Rémi
2007
On instability for the cubic nonlinear Schrödinger equation. Zbl 1350.35179
Carles, Rémi
2007
Numerical aspects of nonlinear Schrödinger equations in the presence of caustics. Zbl 1162.35068
Carles, Rémi; Gosse, Laurent
2007
Global existence results for nonlinear Schrödinger equations with quadratic potentials. Zbl 1086.35101
Carles, Rémi
2005
Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Zbl 1095.35044
Carles, Rémi
2005
Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2005
(Semi)Classical limit of the Hartree equation with harmonic potential. Zbl 1099.35128
Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter
2005
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
2004
Nonlinear Schrödinger equations with Stark potential. Zbl 1069.35083
Carles, Rémi; Nakamura, Yoshihisa
2004
Semiclassical nonlinear Schrödinger equations with potential and focusing initial data. Zbl 1155.35090
Carles, Rémi; Miller, Luc
2004
Focusing of spherical nonlinear pulses in $$\mathbb R^{1+3}$$. II: Nonlinear caustic. Zbl 1094.35081
Carles, Rémi; Rauch, Jeffrey
2004
Scattering for the Schrödinger equation with a repulsive potential. (Scattering pour l’équation de Schrödinger en présence d’un potentiel répulsif.) Zbl 1047.35115
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2004
Focusing of spherical nonlinear pulses in $$\mathbb R^{1+3}$$. III: Sub and supercritical cases. Zbl 1095.35010
Carles, Rémi; Rauch, Jeffrey
2004
Nonlinear Schrödinger equations with repulsive harmonic potential and applications. Zbl 1054.35090
Carles, Rémi
2003
Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation. Zbl 1031.35119
Carles, Rémi
2003
On the role of quadratic oscillations in nonlinear Schrödinger equations. Zbl 1059.35134
Carles, Rémi; Fermanian Kammerer, Clotilde; Gallagher, Isabelle
2003
Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081
Carles, Rémi; Lannes, David
2003
Critical nonlinear Schrödinger equations with and without harmonic potential. Zbl 1029.35208
Carles, Rémi
2002
Remarks on nonlinear Schrödinger equations with harmonic potential. Zbl 1021.81013
Carles, R.
2002
Focusing of spherical nonlinear pulses in $${\mathbb R}^{1+3}$$. Zbl 0983.35089
Carles, R.; Rauch, J.
2002
The semi-classical Schrödinger equation with harmonic potential and nonlinear perturbation. (Équation de Schrödinger semi-classique avec potentiel harmonique et perturbation non-linéaire.) Zbl 1292.35273
Carles, Rémi
2002
Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations. Zbl 1029.35211
Carles, Rémi
2001
Remarks on Wigner measures. (Remarques sur les mesures de Wigner.) Zbl 0984.35152
Carles, Rémi
2001
Focusing of spherical nonlinear pulses in $$\mathbb{R}^{1+3}$$ and absorption. (Absorption d’impulsions non linéaires radiales focalisantes dans $$\mathbb{R}^{1+3}$$.) Zbl 0988.35120
Carles, Rémi; Rauch, Jeffrey
2001
Focusing of spherical nonlinear pulses in $$\mathbb{R}^{1+3}$$ and scattering. (Diffusion d’impulsions non linéaires radiales focalisantes dans $$\mathbb{R}^{1+3}$$.) Zbl 0985.35045
Carles, Rémi; Rauch, Jeffrey
2001
Geometric optics with caustic crossing for some nonlinear Schrödinger equations. Zbl 0970.35143
Carles, Rémi
2000
Focusing on a line for nonlinear Schrödinger equations in $$\mathbb{R}^2$$. Zbl 0977.35131
Carles, Rémi
2000
Comportements précisés près d’une caustique en optique géométrique non linéaire. Zbl 0938.35108
Carles, Rémi
1998
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### Cited by 651 Authors

 52 Carles, Rémi 17 Sparber, Christof 12 Bao, Weizhu 10 Zhang, Jian 9 Antonelli, Paolo 9 Luo, Xiao 8 Banica, Valeria 8 Feng, Binhua 8 Raphael, Pierre 8 Visan, Monica 7 Antoine, Xavier 7 Fermanian-Kammerer, Clotilde 7 Hajaiej, Hichem 7 Killip, Rowan 7 Markowich, Peter Alexander 7 Méhats, Florian 6 Besse, Christophe 6 Jia, HuiFang 6 Jin, Shi 6 Kawamoto, Masaki 6 Lee, Sanghyuk 6 Masaki, Satoshi 6 Ozawa, Tohru 6 Pausader, Benoît 6 Saanouni, Tarek 6 Su, Chunmei 6 Tang, Qinglin 6 Thomann, Laurent 5 Alazard, Thomas 5 Alfaro, Matthieu 5 Audiard, Corentin 5 Bégout, Pascal 5 Cheng, Xing 5 Dinh, Van Duong 5 Gosse, Laurent 5 Grébert, Benoît 5 Hani, Zaher 5 Hyakuna, Ryosuke 5 Li, Xiaoguang 5 Martel, Yvan 5 Naumkin, Ivan P. 5 Oh, Tadahiro 5 Paul, Thierry 5 Sacchetti, Andrea 5 Tzvetkov, Nikolay 5 Vega, Luis 5 Visciglia, Nicola 5 Yin, Jia 5 Zhu, Shihui 4 Athanassoulis, Agisillaos 4 Bellazzini, Jacopo 4 Bhimani, Divyang G. 4 Cai, Yongyong 4 Faou, Erwan 4 Frank, Rupert L. 4 Gallo, Clément 4 Keraani, Sahbi 4 Klein, Christian 4 Murphy, Jason 4 Roques, Lionel J. 4 Vargas, Ana M. 4 Yang, Xu 4 Zhang, Xiaoyi 4 Zhao, Dun 4 Zhao, Lifeng 3 Alouini, Brahim 3 Arbunich, Jack 3 Bernier, Joackim 3 Burq, Nicolas 3 Cazenave, Thierry 3 Chartier, Philippe 3 Chen, Guanggan 3 Chen, Xuwen 3 Cheverry, Christophe 3 Colliander, James E. 3 de Laire, André 3 Diaz Diaz, Jesus Ildefonso 3 Ferriere, Guillaume 3 Forcella, Luigi 3 Gallagher, Isabelle 3 Genoud, François 3 Goubet, Olivier 3 Guardia, Marcel 3 Hamel, François 3 Hong, Younghun 3 Huang, Juan 3 Jammazi, Chaker 3 Jeanjean, Louis 3 Klein, Pauline 3 Li, Xianggui 3 Lu, Jianfeng 3 Luo, Yongming 3 Manna, Ramesh 3 Martin, Guillaume 3 Mauser, Norbert Julius 3 Merle, Frank 3 Miao, Changxing 3 Michel, Laurent 3 Naumkin, Pavel Ivanovich 3 Pocovnicu, Oana ...and 551 more Authors
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### Cited in 174 Serials

 27 Journal of Differential Equations 23 Journal of Mathematical Analysis and Applications 23 Journal of Mathematical Physics 21 Communications in Partial Differential Equations 19 Communications in Mathematical Physics 18 Journal of Functional Analysis 16 Archive for Rational Mechanics and Analysis 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Computational Physics 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 SIAM Journal on Mathematical Analysis 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Discrete and Continuous Dynamical Systems 9 Nonlinearity 9 Communications on Pure and Applied Analysis 8 Applied Mathematics and Computation 8 Mathematische Annalen 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of the European Mathematical Society (JEMS) 7 Journal of Evolution Equations 7 Discrete and Continuous Dynamical Systems. Series B 6 Transactions of the American Mathematical Society 6 Applied Numerical Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Computational and Applied Mathematics 5 Applied Mathematics Letters 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 NoDEA. Nonlinear Differential Equations and Applications 5 The Journal of Fourier Analysis and Applications 5 Communications in Contemporary Mathematics 5 Journal of Hyperbolic Differential Equations 4 Advances in Mathematics 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Numerical Analysis 4 Physica D 4 Revista Matemática Iberoamericana 4 Journal of Scientific Computing 4 Calculus of Variations and Partial Differential Equations 4 Nonlinear Analysis. Real World Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Annals of PDE 4 Séminaire Laurent Schwartz. EDP et Applications 3 Computers & Mathematics with Applications 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Biology 3 Journal of Statistical Physics 3 Letters in Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Duke Mathematical Journal 3 Numerische Mathematik 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of the American Mathematical Society 3 Asymptotic Analysis 3 Geometric and Functional Analysis. GAFA 3 Journal of Dynamics and Differential Equations 3 Annales Henri Poincaré 3 Boundary Value Problems 3 Communications in Computational Physics 3 Discrete and Continuous Dynamical Systems. Series S 2 Classical and Quantum Gravity 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 BIT 2 Ricerche di Matematica 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Algorithms 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Electronic Journal of Differential Equations (EJDE) 2 Abstract and Applied Analysis 2 Journal of Mathematical Fluid Mechanics 2 Journal of Applied Mathematics 2 Milan Journal of Mathematics 2 Multiscale Modeling & Simulation 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Complex Analysis and Operator Theory 2 Kinetic and Related Models 2 East Asian Journal on Applied Mathematics 2 Annales Henri Lebesgue 1 Advances in Applied Probability 1 Applicable Analysis 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série ...and 74 more Serials
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### Cited in 37 Fields

 538 Partial differential equations (35-XX) 146 Quantum theory (81-XX) 74 Numerical analysis (65-XX) 54 Statistical mechanics, structure of matter (82-XX) 46 Fluid mechanics (76-XX) 44 Dynamical systems and ergodic theory (37-XX) 28 Optics, electromagnetic theory (78-XX) 26 Operator theory (47-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 17 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 10 Integral equations (45-XX) 9 Probability theory and stochastic processes (60-XX) 9 Systems theory; control (93-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Relativity and gravitational theory (83-XX) 5 Differential geometry (53-XX) 4 Real functions (26-XX) 4 Abstract harmonic analysis (43-XX) 4 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 3 Special functions (33-XX) 3 Mechanics of deformable solids (74-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)