Edit Profile Carles, Rémi Compute Distance To: Compute Author ID: carles.remi Published as: Carles, R.; Carles, Rémi Homepage: http://carles.perso.math.cnrs.fr/ External Links: MGP · ResearchGate · dblp Documents Indexed: 105 Publications since 1998, including 2 Books all top 5 Co-Authors 32 single-authored 7 Fermanian-Kammerer, Clotilde 7 Sparber, Christof 5 Gallo, Clément 5 Rauch, Jeffrey B. 4 Alazard, Thomas 4 Alfaro, Matthieu 4 Besse, Christophe 4 Gallagher, Isabelle 3 Banica, Valeria 3 Mauser, Norbert Julius 3 Ozawa, Tohru 3 Stimming, Hans Peter 2 Antonelli, Paolo 2 Bao, Weizhu 2 Bony, Jean-François 2 Carrapatoso, Kleber 2 Dumas, Éric 2 Duyckaerts, Thomas 2 Häfner, Dietrich 2 Hajaiej, Hichem 2 Hillairet, Matthieu 2 Markowich, Peter Alexander 2 Méhats, Florian 2 Michel, Laurent 2 Moulay, Emmanuel 2 Silva, Jorge Drumond 2 Su, Chunmei 2 Tang, Qinglin 1 Bhimani, Divyang G. 1 Bouharguane, Afaf 1 Cao, Pei 1 Danchin, Raphaël 1 Ervedoza, Sylvain 1 Faou, Erwan 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 4 Nonlinearity 4 Communications in Partial Differential Equations 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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Communications in Contemporary Mathematics 3 Dynamics of Partial Differential Equations 2 Journal of Mathematical Physics 2 Journal of Statistical 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 Communications in Mathematical Sciences 2 Journal of Physics A: Mathematical and Theoretical 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Reviews in Mathematical Physics 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 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 104 Partial differential equations (35-XX) 55 Quantum theory (81-XX) 17 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Numerical analysis (65-XX) 6 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 84 Publications have been cited 753 times in 465 Documents Cited by ▼ Year ▼ Critical nonlinear Schrödinger equations with and without harmonic potential. Zbl 1029.35208Carles, Rémi 45 2002 On the role of quadratic oscillations in nonlinear Schrödinger equations. II: The \(L^2\)-critical case. Zbl 1115.35119Carles, Rémi; Keraani, Sahbi 38 2007 Remarks on nonlinear Schrödinger equations with harmonic potential. Zbl 1021.81013Carles, R. 38 2002 Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105Carles, Rémi 31 2011 On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102Carles, Rémi; Markowich, Peter A.; Sparber, Christof 29 2008 Semi-classical analysis for nonlinear Schrödinger equations. Zbl 1153.35070Carles, Rémi 26 2008 Nonlinear Schrödinger equations with repulsive harmonic potential and applications. Zbl 1054.35090Carles, Rémi 26 2003 Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude 23 2012 Geometric optics and instability for semi-classical Schrödinger equations. Zbl 1134.35098Carles, Rémi 23 2007 Loss of regularity for supercritical nonlinear Schrödinger equations. Zbl 1161.35047Alazard, Thomas; Carles, Rémi 21 2009 Scattering for nonlinear Schrödinger equation under partial harmonic confinement. Zbl 1309.35124Antonelli, Paolo; Carles, Rémi; Silva, Jorge Drumond 16 2015 Energy cascades for NLS on the torus. Zbl 1238.35144Carles, Rémi; Faou, Erwan 15 2012 Multiphase weakly nonlinear geometric optics for Schrödinger equations. Zbl 1210.35226Carles, Rémi; Dumas, Eric; Sparber, Christof 15 2010 Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198Banica, Valeria; Carles, Rémi; Staffilani, Gigliola 15 2008 WKB analysis for nonlinear Schrödinger equations with potential. Zbl 1123.35062Carles, Rémi 15 2007 Finite time extinction by nonlinear damping for the Schrödinger equation. Zbl 1228.35040Carles, Rémi; Gallo, Clément 14 2011 Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation. Zbl 1216.35131Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas 14 2011 Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Zbl 1095.35044Carles, Rémi 14 2005 Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations. Zbl 1029.35211Carles, Rémi 14 2001 Global existence results for nonlinear Schrödinger equations with quadratic potentials. Zbl 1086.35101Carles, Rémi 13 2005 Supercritical geometric optics for nonlinear Schrödinger equations. Zbl 1179.35302Alazard, Thomas; Carles, Rémi 12 2009 On scattering for NLS: from Euclidean to hyperbolic space. Zbl 1168.35316Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas 12 2009 Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation. Zbl 1031.35119Carles, Rémi 12 2003 Explicit solutions for replicator-mutator equations: extinction versus acceleration. Zbl 1334.92286Alfaro, Matthieu; Carles, Rémi 11 2014 Nonlinear coherent states and Ehrenfest time for Schrödinger equation. Zbl 1210.35227Carles, Rémi; Fermanian-Kammerer, Clotilde 11 2011 On the Cauchy problem for the Hartree type equation in the Wiener algebra. Zbl 1293.35288Carles, Rémi; Mouzaoui, Lounès 10 2014 On Fourier time-splitting methods for nonlinear Schrödinger equations in the semiclassical limit. Zbl 1290.35238Carles, Rémi 10 2013 Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049Carles, Rémi; Markowich, Peter A.; Sparber, Christof 10 2004 Geometric optics with caustic crossing for some nonlinear Schrödinger equations. Zbl 0970.35143Carles, Rémi 10 2000 On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity. Zbl 1368.65198Carles, Rémi; Gallo, Clément 9 2017 Universal dynamics for the defocusing logarithmic Schrödinger equation. Zbl 1394.35467Carles, Rémi; Gallagher, Isabelle 7 2018 Higher-order Schrödinger and Hartree-Fock equations. Zbl 1328.81100Carles, Rémi; Lucha, Wolfgang; Moulay, Emmanuel 7 2015 On nonlinear Schrödinger-type equations with nonlinear damping. Zbl 1309.35125Antonelli, Paolo; Carles, Rémi; Sparber, Christof 7 2015 An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Zbl 1291.35333Besse, Christophe; Carles, Rémi; Méhats, Florian 7 2013 On the time evolution of Wigner measures for Schrödinger equations. Zbl 1159.81034Carles, Rémi; Fermanian-Kammerer, Clotilde; Mauser, Norbert J.; Stimming, Hans Peter 7 2009 Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. Zbl 1428.35488Carles, Rémi; Kappeler, Thomas 6 2017 Finite time extinction for nonlinear Schrödinger equation in 1D and 2D. Zbl 1328.35208Carles, Rémi; Ozawa, Tohru 6 2015 Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases. Zbl 1317.35228Carles, Rémi; Hajaiej, Hichem 6 2015 Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Zbl 1238.81120Carles, Rémi; Sparber, Christof 6 2012 Analyticity of the scattering operator for semilinear dispersive equations. Zbl 1173.35677Carles, Rémi; Gallagher, Isabelle 6 2009 On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. Zbl 1147.35094Carles, Rémi 6 2008 Semi-classical limit of Schrödinger–Poisson equations in space dimension \(n\geqslant 3\). Zbl 1107.35018Alazard, Thomas; Carles, Rémi 6 2007 Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent 6 2005 Remarks on Wigner measures. Zbl 0984.35152Carles, Rémi 6 2001 Replicator-mutator equations with quadratic fitness. Zbl 1376.92037Alfaro, Matthieu; Carles, Rémi 5 2017 Large time behavior in nonlinear Schrödinger equations with time dependent potential. Zbl 1309.35128Carles, Rémi; Silva, Jorge Drumond 5 2015 Geometric optics and instability for NLS and Davey-Stewartson models. Zbl 1273.35248Carles, Rémi; Dumas, Eric; Sparber, Christof 5 2012 A nonlinear adiabatic theorem for coherent states. Zbl 1231.81040Carles, Rémi; Fermanian Kammerer, Clotilde 5 2011 Rotating points for the conformal NLS scattering operator. Zbl 1191.35270Carles, Rémi 5 2009 WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity. Zbl 1167.35328Alazard, Thomas; Carles, Rémi 5 2009 Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: numerical evidence. Zbl 1156.35467Besse, Christophe; Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter 5 2008 (Semi)Classical limit of the Hartree equation with harmonic potential. Zbl 1099.35128Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter 5 2005 Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential. Zbl 1322.35123Carles, Rémi 4 2015 On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215Carles, Rémi; Pelinovsky, Dmitry 4 2014 Higher order Schrödinger equations. Zbl 1256.81034Carles, Rémi; Moulay, Emmanuel 4 2012 Nonlinear Schrödinger equations with Stark potential. Zbl 1069.35083Carles, Rémi; Nakamura, Yoshihisa 4 2004 Semiclassical nonlinear Schrödinger equations with potential and focusing initial data. Zbl 1155.35090Carles, Rémi; Miller, Luc 4 2004 On the role of quadratic oscillations in nonlinear Schrödinger equations. Zbl 1059.35134Carles, Rémi; Fermanian Kammerer, Clotilde; Gallagher, Isabelle 4 2003 Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 3 2019 Splitting methods for the nonlocal Fowler equation. Zbl 1286.65109Bouharguane, Afaf; Carles, Rémi 3 2014 Semi-classical wave packet dynamics for Hartree equations. Zbl 1239.35145Cao, Pei; Carles, Rémi 3 2011 Semiclassical analysis for Hartree equation. Zbl 1161.35310Carles, Rémi; Masaki, Satoshi 3 2008 On instability for the cubic nonlinear Schrödinger equation. Zbl 1350.35179Carles, Rémi 3 2007 Focusing of spherical nonlinear pulses in \(\mathbb{R}^{1+3}\) and absorption. Zbl 0988.35120Carles, Rémi; Rauch, Jeffrey 3 2001 A nonlinear Landau-Zener formula. Zbl 1275.81029Carles, Rémi; Fermanian-Kammerer, Clotilde 2 2013 Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime. Zbl 1269.65104Carles, Rémi; Mohammadi, Bijan 2 2011 On the wave operator for the critical nonlinear Schrödinger equation. Zbl 1188.35174Carles, Rémi; Ozawa, Tohru 2 2008 Numerical aspects of nonlinear Schrödinger equations in the presence of caustics. Zbl 1162.35068Carles, Rémi; Gosse, Laurent 2 2007 Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic. Zbl 1094.35081Carles, Rémi; Rauch, Jeffrey 2 2004 The semi-classical Schrödinger equation with harmonic potential and nonlinear perturbation. Zbl 1292.35273Carles, Rémi 2 2002 Focusing of spherical nonlinear pulses in \({\mathbb R}^{1+3}\). Zbl 0983.35089Carles, R.; Rauch, J. 2 2002 Focusing of spherical nonlinear pulses in \(\mathbb{R}^{1+3}\) and scattering. Zbl 0985.35045Carles, Rémi; Rauch, Jeffrey 2 2001 Focusing on a line for nonlinear Schrödinger equations in \(\mathbb{R}^2\). Zbl 0977.35131Carles, Rémi 2 2000 Comportements précisés près d’une caustique en optique géométrique non linéaire. Zbl 0938.35108Carles, Rémi 2 1998 Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 1 2019 Rigidity results in generalized isothermal fluids. Zbl 1428.35348Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu 1 2018 Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129Alfaro, Matthieu; Carles, Rémi 1 2017 WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity. Zbl 1368.35244Carles, Rémi; Gallo, Clément 1 2017 Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement. Zbl 1328.35207Carles, Rémi; Gallo, Clément 1 2015 Nonlinear dynamics of semiclassical coherent states in periodic potentials. Zbl 1248.81075Carles, Rémi; Sparber, Christof 1 2012 On Schrödinger equations with modified dispersion. Zbl 1256.35131Carles, Rémi 1 2011 Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases. Zbl 1095.35010Carles, Rémi; Rauch, Jeffrey 1 2004 Scattering for the Schrödinger equation with a repulsive potential. Zbl 1047.35115Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent 1 2004 Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081Carles, Rémi; Lannes, David 1 2003 Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 3 2019 Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 1 2019 Universal dynamics for the defocusing logarithmic Schrödinger equation. Zbl 1394.35467Carles, Rémi; Gallagher, Isabelle 7 2018 Rigidity results in generalized isothermal fluids. Zbl 1428.35348Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu 1 2018 On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity. Zbl 1368.65198Carles, Rémi; Gallo, Clément 9 2017 Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. Zbl 1428.35488Carles, Rémi; Kappeler, Thomas 6 2017 Replicator-mutator equations with quadratic fitness. Zbl 1376.92037Alfaro, Matthieu; Carles, Rémi 5 2017 Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129Alfaro, Matthieu; Carles, Rémi 1 2017 WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity. Zbl 1368.35244Carles, Rémi; Gallo, Clément 1 2017 Scattering for nonlinear Schrödinger equation under partial harmonic confinement. Zbl 1309.35124Antonelli, Paolo; Carles, Rémi; Silva, Jorge Drumond 16 2015 Higher-order Schrödinger and Hartree-Fock equations. Zbl 1328.81100Carles, Rémi; Lucha, Wolfgang; Moulay, Emmanuel 7 2015 On nonlinear Schrödinger-type equations with nonlinear damping. Zbl 1309.35125Antonelli, Paolo; Carles, Rémi; Sparber, Christof 7 2015 Finite time extinction for nonlinear Schrödinger equation in 1D and 2D. Zbl 1328.35208Carles, Rémi; Ozawa, Tohru 6 2015 Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases. Zbl 1317.35228Carles, Rémi; Hajaiej, Hichem 6 2015 Large time behavior in nonlinear Schrödinger equations with time dependent potential. Zbl 1309.35128Carles, Rémi; Silva, Jorge Drumond 5 2015 Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential. Zbl 1322.35123Carles, Rémi 4 2015 Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement. Zbl 1328.35207Carles, Rémi; Gallo, Clément 1 2015 Explicit solutions for replicator-mutator equations: extinction versus acceleration. Zbl 1334.92286Alfaro, Matthieu; Carles, Rémi 11 2014 On the Cauchy problem for the Hartree type equation in the Wiener algebra. Zbl 1293.35288Carles, Rémi; Mouzaoui, Lounès 10 2014 On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215Carles, Rémi; Pelinovsky, Dmitry 4 2014 Splitting methods for the nonlocal Fowler equation. Zbl 1286.65109Bouharguane, Afaf; Carles, Rémi 3 2014 On Fourier time-splitting methods for nonlinear Schrödinger equations in the semiclassical limit. Zbl 1290.35238Carles, Rémi 10 2013 An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Zbl 1291.35333Besse, Christophe; Carles, Rémi; Méhats, Florian 7 2013 A nonlinear Landau-Zener formula. Zbl 1275.81029Carles, Rémi; Fermanian-Kammerer, Clotilde 2 2013 Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude 23 2012 Energy cascades for NLS on the torus. Zbl 1238.35144Carles, Rémi; Faou, Erwan 15 2012 Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Zbl 1238.81120Carles, Rémi; Sparber, Christof 6 2012 Geometric optics and instability for NLS and Davey-Stewartson models. Zbl 1273.35248Carles, Rémi; Dumas, Eric; Sparber, Christof 5 2012 Higher order Schrödinger equations. Zbl 1256.81034Carles, Rémi; Moulay, Emmanuel 4 2012 Nonlinear dynamics of semiclassical coherent states in periodic potentials. Zbl 1248.81075Carles, Rémi; Sparber, Christof 1 2012 Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105Carles, Rémi 31 2011 Finite time extinction by nonlinear damping for the Schrödinger equation. Zbl 1228.35040Carles, Rémi; Gallo, Clément 14 2011 Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation. Zbl 1216.35131Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas 14 2011 Nonlinear coherent states and Ehrenfest time for Schrödinger equation. Zbl 1210.35227Carles, Rémi; Fermanian-Kammerer, Clotilde 11 2011 A nonlinear adiabatic theorem for coherent states. Zbl 1231.81040Carles, Rémi; Fermanian Kammerer, Clotilde 5 2011 Semi-classical wave packet dynamics for Hartree equations. Zbl 1239.35145Cao, Pei; Carles, Rémi 3 2011 Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime. Zbl 1269.65104Carles, Rémi; Mohammadi, Bijan 2 2011 On Schrödinger equations with modified dispersion. Zbl 1256.35131Carles, Rémi 1 2011 Multiphase weakly nonlinear geometric optics for Schrödinger equations. Zbl 1210.35226Carles, Rémi; Dumas, Eric; Sparber, Christof 15 2010 Loss of regularity for supercritical nonlinear Schrödinger equations. Zbl 1161.35047Alazard, Thomas; Carles, Rémi 21 2009 Supercritical geometric optics for nonlinear Schrödinger equations. Zbl 1179.35302Alazard, Thomas; Carles, Rémi 12 2009 On scattering for NLS: from Euclidean to hyperbolic space. Zbl 1168.35316Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas 12 2009 On the time evolution of Wigner measures for Schrödinger equations. Zbl 1159.81034Carles, Rémi; Fermanian-Kammerer, Clotilde; Mauser, Norbert J.; Stimming, Hans Peter 7 2009 Analyticity of the scattering operator for semilinear dispersive equations. Zbl 1173.35677Carles, Rémi; Gallagher, Isabelle 6 2009 Rotating points for the conformal NLS scattering operator. Zbl 1191.35270Carles, Rémi 5 2009 WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity. Zbl 1167.35328Alazard, Thomas; Carles, Rémi 5 2009 On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102Carles, Rémi; Markowich, Peter A.; Sparber, Christof 29 2008 Semi-classical analysis for nonlinear Schrödinger equations. Zbl 1153.35070Carles, Rémi 26 2008 Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198Banica, Valeria; Carles, Rémi; Staffilani, Gigliola 15 2008 On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. Zbl 1147.35094Carles, Rémi 6 2008 Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: numerical evidence. Zbl 1156.35467Besse, Christophe; Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter 5 2008 Semiclassical analysis for Hartree equation. Zbl 1161.35310Carles, Rémi; Masaki, Satoshi 3 2008 On the wave operator for the critical nonlinear Schrödinger equation. Zbl 1188.35174Carles, Rémi; Ozawa, Tohru 2 2008 On the role of quadratic oscillations in nonlinear Schrödinger equations. II: The \(L^2\)-critical case. Zbl 1115.35119Carles, Rémi; Keraani, Sahbi 38 2007 Geometric optics and instability for semi-classical Schrödinger equations. Zbl 1134.35098Carles, Rémi 23 2007 WKB analysis for nonlinear Schrödinger equations with potential. Zbl 1123.35062Carles, Rémi 15 2007 Semi-classical limit of Schrödinger–Poisson equations in space dimension \(n\geqslant 3\). Zbl 1107.35018Alazard, Thomas; Carles, Rémi 6 2007 On instability for the cubic nonlinear Schrödinger equation. Zbl 1350.35179Carles, Rémi 3 2007 Numerical aspects of nonlinear Schrödinger equations in the presence of caustics. Zbl 1162.35068Carles, Rémi; Gosse, Laurent 2 2007 Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Zbl 1095.35044Carles, Rémi 14 2005 Global existence results for nonlinear Schrödinger equations with quadratic potentials. Zbl 1086.35101Carles, Rémi 13 2005 Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent 6 2005 (Semi)Classical limit of the Hartree equation with harmonic potential. Zbl 1099.35128Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter 5 2005 Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049Carles, Rémi; Markowich, Peter A.; Sparber, Christof 10 2004 Nonlinear Schrödinger equations with Stark potential. Zbl 1069.35083Carles, Rémi; Nakamura, Yoshihisa 4 2004 Semiclassical nonlinear Schrödinger equations with potential and focusing initial data. Zbl 1155.35090Carles, Rémi; Miller, Luc 4 2004 Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic. Zbl 1094.35081Carles, Rémi; Rauch, Jeffrey 2 2004 Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases. Zbl 1095.35010Carles, Rémi; Rauch, Jeffrey 1 2004 Scattering for the Schrödinger equation with a repulsive potential. Zbl 1047.35115Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent 1 2004 Nonlinear Schrödinger equations with repulsive harmonic potential and applications. Zbl 1054.35090Carles, Rémi 26 2003 Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation. Zbl 1031.35119Carles, Rémi 12 2003 On the role of quadratic oscillations in nonlinear Schrödinger equations. Zbl 1059.35134Carles, Rémi; Fermanian Kammerer, Clotilde; Gallagher, Isabelle 4 2003 Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081Carles, Rémi; Lannes, David 1 2003 Critical nonlinear Schrödinger equations with and without harmonic potential. Zbl 1029.35208Carles, Rémi 45 2002 Remarks on nonlinear Schrödinger equations with harmonic potential. Zbl 1021.81013Carles, R. 38 2002 The semi-classical Schrödinger equation with harmonic potential and nonlinear perturbation. Zbl 1292.35273Carles, Rémi 2 2002 Focusing of spherical nonlinear pulses in \({\mathbb R}^{1+3}\). Zbl 0983.35089Carles, R.; Rauch, J. 2 2002 Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations. Zbl 1029.35211Carles, Rémi 14 2001 Remarks on Wigner measures. Zbl 0984.35152Carles, Rémi 6 2001 Focusing of spherical nonlinear pulses in \(\mathbb{R}^{1+3}\) and absorption. Zbl 0988.35120Carles, Rémi; Rauch, Jeffrey 3 2001 Focusing of spherical nonlinear pulses in \(\mathbb{R}^{1+3}\) and scattering. Zbl 0985.35045Carles, Rémi; Rauch, Jeffrey 2 2001 Geometric optics with caustic crossing for some nonlinear Schrödinger equations. Zbl 0970.35143Carles, Rémi 10 2000 Focusing on a line for nonlinear Schrödinger equations in \(\mathbb{R}^2\). Zbl 0977.35131Carles, Rémi 2 2000 Comportements précisés près d’une caustique en optique géométrique non linéaire. Zbl 0938.35108Carles, Rémi 2 1998 all cited Publications top 5 cited Publications all top 5 Cited by 550 Authors 48 Carles, Rémi 17 Sparber, Christof 11 Zhang, Jian 8 Bao, Weizhu 8 Visan, Monica 7 Antonelli, Paolo 7 Killip, Rowan 7 Méhats, Florian 7 Raphael, Pierre 6 Banica, Valeria 6 Besse, Christophe 6 Gosse, Laurent 6 Lee, Sanghyuk 6 Luo, Xiao 6 Markowich, Peter Alexander 6 Masaki, Satoshi 6 Pausader, Benoît 6 Thomann, Laurent 5 Alazard, Thomas 5 Antoine, Xavier 5 Feng, Binhua 5 Fermanian-Kammerer, Clotilde 5 Hani, Zaher 5 Hyakuna, Ryosuke 5 Jin, Shi 5 Li, Xiaoguang 5 Martel, Yvan 5 Oh, Tadahiro 5 Paul, Thierry 5 Saanouni, Tarek 5 Tzvetkov, Nikolay 5 Visciglia, Nicola 5 Zhu, Shihui 4 Alfaro, Matthieu 4 Athanassoulis, Agisillaos 4 Audiard, Corentin 4 Bégout, Pascal 4 Bhimani, Divyang G. 4 Cheng, Xing 4 Gallo, Clément 4 Hajaiej, Hichem 4 Keraani, Sahbi 4 Murphy, Jason 4 Naumkin, Ivan P. 4 Ozawa, Tohru 4 Sacchetti, Andrea 4 Vargas, Ana M. 4 Vega, Luis 4 Zhang, Xiaoyi 3 Arbunich, Jack 3 Bellazzini, Jacopo 3 Burq, Nicolas 3 Chartier, Philippe 3 Chen, Guanggan 3 Chen, Xuwen 3 Cheverry, Christophe 3 Colliander, James E. 3 Frank, Rupert L. 3 Gallagher, Isabelle 3 Genoud, François 3 Guardia, Marcel 3 Jammazi, Chaker 3 Jia, HuiFang 3 Klein, Christian 3 Klein, Pauline 3 Li, Xianggui 3 Martin, Guillaume 3 Mauser, Norbert Julius 3 Miao, Changxing 3 Michel, Laurent 3 Pocovnicu, Oana 3 Rauch, Jeffrey B. 3 Rogers, Keith McKenzie 3 Roques, Lionel J. 3 Sabin, Julien 3 Segata, Jun-ichi 3 Serfaty, Sylvia 3 Shao, Shuanglin 3 Squassina, Marco 3 Staffilani, Gigliola 3 Su, Chunmei 3 Tang, Qinglin 3 Tao, Terence 3 Teismann, Holger 3 Weishäupl, Rada-Maria 3 Yang, Xu 3 Yin, Jia 3 Zhao, Dun 3 Zhao, Lifeng 2 Alouini, Brahim 2 Anker, Jean-Philippe 2 Hernandez Ardila, Alex 2 Balac, Stéphane 2 Ben Belgacem, Ghada 2 Bényi, Árpád 2 Bony, Jean-François 2 Bouharguane, Afaf 2 Cai, Yongyong 2 Cao, Pei 2 Castella, François ...and 450 more Authors all top 5 Cited in 152 Serials 21 Journal of Mathematical Analysis and Applications 21 Journal of Mathematical Physics 21 Journal of Differential Equations 19 Communications in Partial Differential Equations 16 Journal of Functional Analysis 15 Communications in Mathematical Physics 14 Archive for Rational Mechanics and Analysis 14 Journal of Computational Physics 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 SIAM Journal on Mathematical Analysis 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Discrete and Continuous Dynamical Systems 8 Applied Mathematics and Computation 8 Mathematische Annalen 6 Transactions of the American Mathematical Society 6 Journal of the European Mathematical Society (JEMS) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications on Pure and Applied Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 The Journal of Fourier Analysis and Applications 5 Communications in Contemporary Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Hyperbolic Differential Equations 4 Nonlinearity 4 Advances in Mathematics 4 Applied Mathematics Letters 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Computers & Mathematics with Applications 3 Communications on Pure and Applied Mathematics 3 Journal of Statistical Physics 3 Duke Mathematical Journal 3 Numerische Mathematik 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 Physica D 3 Applied Numerical Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Revista Matemática Iberoamericana 3 Journal of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 NoDEA. Nonlinear Differential Equations and Applications 3 Annales Henri Poincaré 3 Nonlinear Analysis. Real World Applications 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 BIT 2 Journal of Computational and Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Journal of Scientific Computing 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 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Abstract and Applied Analysis 2 Journal of Evolution Equations 2 Journal of Applied Mathematics 2 Milan Journal of Mathematics 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Complex Analysis and Operator Theory 2 Discrete and Continuous Dynamical Systems. Series S 2 Kinetic and Related Models 2 Annals of PDE 2 Séminaire Laurent Schwartz. EDP et Applications 2 Annales Henri Lebesgue 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Funkcialaj Ekvacioj. Serio Internacia 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Ricerche di Matematica 1 Tohoku Mathematical Journal. Second Series 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Asymptotic Analysis 1 Forum Mathematicum ...and 52 more Serials all top 5 Cited in 37 Fields 430 Partial differential equations (35-XX) 121 Quantum theory (81-XX) 54 Numerical analysis (65-XX) 45 Statistical mechanics, structure of matter (82-XX) 32 Dynamical systems and ergodic theory (37-XX) 30 Fluid mechanics (76-XX) 26 Optics, electromagnetic theory (78-XX) 18 Operator theory (47-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 13 Ordinary differential equations (34-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 8 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Probability theory and stochastic processes (60-XX) 5 Relativity and gravitational theory (83-XX) 4 Abstract harmonic analysis (43-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-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 Potential theory (31-XX) 1 Difference and functional equations (39-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) Citations by Year