Edit Profile (opens in new tab) Carles, Rémi Co-Author Distance Author ID: carles.remi Published as: Carles, Rémi; Carles, R. Homepage: https://carles.perso.math.cnrs.fr/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 133 Publications since 1998, including 2 Books and 10 Additional arXiv Preprints Reviewing Activity: 6 Reviews Co-Authors: 59 Co-Authors with 96 Joint Publications 1,583 Co-Co-Authors all top 5 Co-Authors 37 single-authored 11 Sparber, Christof 10 Fermanian-Kammerer, Clotilde 6 Su, Chunmei 5 Gallo, Clément 5 Rauch, Jeffrey B. 4 Alazard, Thomas 4 Alfaro, Matthieu 4 Besse, Christophe 4 Carrapatoso, Kleber 4 Gallagher, Isabelle 4 Hillairet, Matthieu 4 Ozawa, Tohru 3 Banica, Valeria 3 Bao, Weizhu 3 Hajaiej, Hichem 3 Lasser, Caroline 3 Mauser, Norbert Julius 3 Stimming, Hans Peter 3 Tang, Qinglin 2 Antonelli, Paolo 2 Bony, Jean-François 2 Burghardt, Irene 2 Cheverry, Christophe 2 Dumas, Éric 2 Duyckaerts, Thomas 2 Ferriere, Guillaume 2 Häfner, Dietrich 2 Klein, Christian 2 Lannes, David 2 Lasorne, Benjamin 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 Dinh, Van Duong 1 Ervedoza, Sylvain 1 Faou, Erwan 1 Gassot, Louise 1 Gosse, Laurent 1 Hayashi, Masayuki 1 Il’yasov, Yavdat Shavkatovich 1 Kappeler, Thomas 1 Keraani, Sahbi 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 6 Nonlinearity 6 Communications in Partial Differential Equations 5 Communications in Mathematical Physics 4 Proceedings of the American Mathematical Society 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Physics A: Mathematical and Theoretical 3 Archive for Rational Mechanics and Analysis 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 Discrete and Continuous Dynamical Systems. Series B 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annales de l’Institut Fourier 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 Studies in Applied Mathematics 1 Tôhoku 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 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 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 Analysis & PDE 1 EMS Surveys in Mathematical Sciences 1 Annales Henri Lebesgue all top 5 Fields 121 Partial differential equations (35-XX) 61 Quantum theory (81-XX) 19 Optics, electromagnetic theory (78-XX) 12 Numerical analysis (65-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Fluid mechanics (76-XX) 7 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 1,257 times in 756 Documents Cited by ▼ Year ▼ On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102 Carles, Rémi; Markowich, Peter A.; Sparber, Christof 54 2008 Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105 Carles, Rémi 53 2011 Critical nonlinear Schrödinger equations with and without harmonic potential. Zbl 1029.35208 Carles, Rémi 50 2002 Remarks on nonlinear Schrödinger equations with harmonic potential. Zbl 1021.81013 Carles, R. 46 2002 Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142 Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude 46 2012 On the role of quadratic oscillations in nonlinear Schrödinger equations. II: The \(L^2\)-critical case. Zbl 1115.35119 Carles, Rémi; Keraani, Sahbi 45 2007 Universal dynamics for the defocusing logarithmic Schrödinger equation. Zbl 1394.35467 Carles, Rémi; Gallagher, Isabelle 40 2018 Semi-classical analysis for nonlinear Schrödinger equations. Zbl 1153.35070 Carles, Rémi 37 2008 Nonlinear Schrödinger equations with repulsive harmonic potential and applications. Zbl 1054.35090 Carles, Rémi 37 2003 Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225 Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 32 2019 Scattering for nonlinear Schrödinger equation under partial harmonic confinement. Zbl 1309.35124 Antonelli, Paolo; Carles, Rémi; Silva, Jorge Drumond 28 2015 Loss of regularity for supercritical nonlinear Schrödinger equations. Zbl 1161.35047 Alazard, Thomas; Carles, Rémi 28 2009 Geometric optics and instability for semi-classical Schrödinger equations. Zbl 1134.35098 Carles, Rémi 25 2007 Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 1507.35218 Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 22 2019 Energy cascades for NLS on the torus. Zbl 1238.35144 Carles, Rémi; Faou, Erwan 21 2012 Multiphase weakly nonlinear geometric optics for Schrödinger equations. Zbl 1210.35226 Carles, Rémi; Dumas, Eric; Sparber, Christof 20 2010 Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases. Zbl 1317.35228 Carles, Rémi; Hajaiej, Hichem 19 2015 Finite time extinction by nonlinear damping for the Schrödinger equation. Zbl 1228.35040 Carles, Rémi; Gallo, Clément 19 2011 WKB analysis for nonlinear Schrödinger equations with potential. Zbl 1123.35062 Carles, Rémi 19 2007 Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation. Zbl 1216.35131 Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas 19 2011 Global existence results for nonlinear Schrödinger equations with quadratic potentials. Zbl 1086.35101 Carles, Rémi 18 2005 Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198 Banica, Valeria; Carles, Rémi; Staffilani, Gigliola 18 2008 On Fourier time-splitting methods for nonlinear Schrödinger equations in the semiclassical limit. Zbl 1290.35238 Carles, Rémi 17 2013 On nonlinear Schrödinger-type equations with nonlinear damping. Zbl 1309.35125 Antonelli, Paolo; Carles, Rémi; Sparber, Christof 16 2015 Higher-order Schrödinger and Hartree-Fock equations. Zbl 1328.81100 Carles, Rémi; Lucha, Wolfgang; Moulay, Emmanuel 16 2015 Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations. Zbl 1029.35211 Carles, Rémi 16 2001 On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity. Zbl 1368.65198 Carles, Rémi; Gallo, Clément 16 2017 Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049 Carles, Rémi; Markowich, Peter A.; Sparber, Christof 16 2004 Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Zbl 1095.35044 Carles, Rémi 16 2005 Explicit solutions for replicator-mutator equations: extinction versus acceleration. Zbl 1334.92286 Alfaro, Matthieu; Carles, Rémi 16 2014 Nonlinear coherent states and Ehrenfest time for Schrödinger equation. Zbl 1210.35227 Carles, Rémi; Fermanian-Kammerer, Clotilde 16 2011 Supercritical geometric optics for nonlinear Schrödinger equations. Zbl 1179.35302 Alazard, Thomas; Carles, Rémi 15 2009 Orbital stability vs. scattering in the cubic-quintic Schrödinger equation. Zbl 1471.35254 Carles, Rémi; Sparber, Christof 15 2021 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 14 2017 On the Cauchy problem for the Hartree type equation in the Wiener algebra. Zbl 1293.35288 Carles, Rémi; Mouzaoui, Lounès 13 2014 Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130 Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent 13 2005 On scattering for NLS: from Euclidean to hyperbolic space. Zbl 1168.35316 Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas 13 2009 Analyticity of the scattering operator for semilinear dispersive equations. Zbl 1173.35677 Carles, Rémi; Gallagher, Isabelle 13 2009 Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation. Zbl 1031.35119 Carles, Rémi 13 2003 Finite time extinction for nonlinear Schrödinger equation in 1D and 2D. Zbl 1328.35208 Carles, Rémi; Ozawa, Tohru 12 2015 Replicator-mutator equations with quadratic fitness. Zbl 1376.92037 Alfaro, Matthieu; Carles, Rémi 11 2017 Rigidity results in generalized isothermal fluids. (Résultats de rigidité pour des fluides isothermes généralisés.) Zbl 1428.35348 Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu 11 2018 Large time behavior in nonlinear Schrödinger equations with time dependent potential. Zbl 1309.35128 Carles, Rémi; Silva, Jorge Drumond 11 2015 A nonlinear adiabatic theorem for coherent states. Zbl 1231.81040 Carles, Rémi; Fermanian Kammerer, Clotilde 11 2011 Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Zbl 1238.81120 Carles, Rémi; Sparber, Christof 11 2012 Geometric optics with caustic crossing for some nonlinear Schrödinger equations. Zbl 0970.35143 Carles, Rémi 10 2000 Remarks on Wigner measures. (Remarques sur les mesures de Wigner.) Zbl 0984.35152 Carles, Rémi 9 2001 On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215 Carles, Rémi; Pelinovsky, Dmitry 9 2014 Higher order Schrödinger equations. Zbl 1256.81034 Carles, Rémi; Moulay, Emmanuel 9 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 9 2009 Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129 Alfaro, Matthieu; Carles, Rémi 8 2017 Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential. Zbl 1322.35123 Carles, Rémi 8 2015 Semi-classical limit of Schrödinger–Poisson equations in space dimension \(n\geqslant 3\). Zbl 1107.35018 Alazard, Thomas; Carles, Rémi 8 2007 Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity. Zbl 1455.35232 Bhimani, Divyang G.; Carles, Rémi 8 2020 On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. Zbl 1147.35094 Carles, Rémi 8 2008 Geometric optics and instability for NLS and Davey-Stewartson models. Zbl 1273.35248 Carles, Rémi; Dumas, Eric; Sparber, Christof 8 2012 An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Zbl 1291.35333 Besse, Christophe; Carles, Rémi; Méhats, Florian 7 2013 Rotating points for the conformal NLS scattering operator. Zbl 1191.35270 Carles, Rémi 7 2009 Logarithmic Schrödinger equation with quadratic potential. Zbl 1477.35233 Carles, Rémi; Ferriere, Guillaume 7 2021 Error estimates of local energy regularization for the logarithmic Schrödinger equation. Zbl 1483.35168 Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 7 2022 Nonlinear Schrödinger equations with Stark potential. Zbl 1069.35083 Carles, Rémi; Nakamura, Yoshihisa 6 2004 Splitting methods for the nonlocal Fowler equation. Zbl 1286.65109 Bouharguane, Afaf; Carles, Rémi 6 2014 Semiclassical nonlinear Schrödinger equations with potential and focusing initial data. Zbl 1155.35090 Carles, Rémi; Miller, Luc 6 2004 WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity. Zbl 1167.35328 Alazard, Thomas; Carles, Rémi 6 2009 (Semi)Classical limit of the Hartree equation with harmonic potential. Zbl 1099.35128 Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter 5 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 5 2008 Semi-classical wave packet dynamics for Hartree equations. Zbl 1239.35145 Cao, Pei; Carles, Rémi 4 2011 Semiclassical analysis for Hartree equation. Zbl 1161.35310 Carles, Rémi; Masaki, Satoshi 4 2008 On the role of quadratic oscillations in nonlinear Schrödinger equations. Zbl 1059.35134 Carles, Rémi; Fermanian Kammerer, Clotilde; Gallagher, Isabelle 4 2003 Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. Zbl 1490.35398 Carles, Rémi; Su, Chunmei 4 2022 Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective. Zbl 1382.35302 Carles, Rémi; Nouri, Anne 3 2017 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 3 2001 WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity. Zbl 1368.35244 Carles, Rémi; Gallo, Clément 3 2017 A nonlinear Landau-Zener formula. Zbl 1275.81029 Carles, Rémi; Fermanian-Kammerer, Clotilde 3 2013 On Schrödinger equations with modified dispersion. Zbl 1256.35131 Carles, Rémi 3 2011 On the spin-1 Bose-Einstein condensates in the presence of Ioffe-Pritchard magnetic field. Zbl 1349.35352 Hajaiej, Hichem; Carles, Rémi 3 2016 On semi-classical limit of nonlinear quantum scattering. (Limite semi-classique pour le scattering quantique non linéaire.) Zbl 1343.81202 Carles, Rémi 3 2016 Numerical aspects of nonlinear Schrödinger equations in the presence of caustics. Zbl 1162.35068 Carles, Rémi; Gosse, Laurent 3 2007 On instability for the cubic nonlinear Schrödinger equation. Zbl 1350.35179 Carles, Rémi 3 2007 Separation of scales: dynamical approximations for composite quantum systems. Zbl 1506.81038 Burghardt, Irene; Carles, Rémi; Fermanian Kammerer, Clotilde; Lasorne, Benjamin; Lasser, Caroline 3 2021 Comportements précisés près d’une caustique en optique géométrique non linéaire. Zbl 0938.35108 Carles, Rémi 2 1998 Focusing on a line for nonlinear Schrödinger equations in \(\mathbb{R}^2\). Zbl 0977.35131 Carles, Rémi 2 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 2 2001 Focusing of spherical nonlinear pulses in \({\mathbb R}^{1+3}\). Zbl 0983.35089 Carles, R.; Rauch, J. 2 2002 Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic. Zbl 1094.35081 Carles, Rémi; Rauch, Jeffrey 2 2004 Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime. Zbl 1269.65104 Carles, Rémi; Mohammadi, Bijan 2 2011 Nonlinear dynamics of semiclassical coherent states in periodic potentials. Zbl 1248.81075 Carles, Rémi; Sparber, Christof 2 2012 Global dynamics below the ground states for NLS under partial harmonic confinement. Zbl 1475.35309 Ardila, Alex H.; Carles, Rémi 2 2021 Constructive and destructive interferences in nonlinear hyperbolic equations. Zbl 1501.35383 Carles, Rémi; Cheverry, Christophe 2 2022 Dynamical approximations for composite quantum systems: assessment of error estimates for a separable ansatz. Zbl 1506.81037 Burghardt, Irene; Carles, Rémi; Fermanian Kammerer, Clotilde; Lasorne, Benjamin; Lasser, Caroline 2 2022 On the wave operator for the critical nonlinear Schrödinger equation. Zbl 1188.35174 Carles, Rémi; Ozawa, Tohru 2 2008 Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation. Zbl 1507.35151 Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu 2 2022 Semi-classical analysis for nonlinear Schrödinger equations. WKB analysis, focal points, coherent states. 2nd edition. Zbl 1448.35461 Carles, Rémi 2 2021 Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement. Zbl 1328.35207 Carles, Rémi; Gallo, Clément 1 2015 Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases. Zbl 1095.35010 Carles, Rémi; Rauch, Jeffrey 1 2004 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 1 2002 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 1 2004 On the semi-classical limit for the nonlinear Schrödinger equation. Zbl 1166.35372 Carles, Rémi 1 2008 On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. Zbl 1515.35242 Carles, Rémi; Klein, Christian; Sparber, Christof 1 2023 Global weak solutions for quantum isothermal fluids. (Solutions faibles globales pour des fluides quantiques isothermes.) Zbl 1504.35218 Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu 1 2022 On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. Zbl 1515.35242 Carles, Rémi; Klein, Christian; Sparber, Christof 1 2023 Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential. Zbl 1518.35571 Carles, Rémi; Su, Chunmei 1 2023 On an intercritical log-modified nonlinear Schrödinger equation in two spatial dimensions. Zbl 1522.35461 Carles, Rémi; Sparber, Christof 1 2023 Error estimates of local energy regularization for the logarithmic Schrödinger equation. Zbl 1483.35168 Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 7 2022 Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. Zbl 1490.35398 Carles, Rémi; Su, Chunmei 4 2022 Constructive and destructive interferences in nonlinear hyperbolic equations. Zbl 1501.35383 Carles, Rémi; Cheverry, Christophe 2 2022 Dynamical approximations for composite quantum systems: assessment of error estimates for a separable ansatz. Zbl 1506.81037 Burghardt, Irene; Carles, Rémi; Fermanian Kammerer, Clotilde; Lasorne, Benjamin; Lasser, Caroline 2 2022 Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation. Zbl 1507.35151 Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu 2 2022 Global weak solutions for quantum isothermal fluids. (Solutions faibles globales pour des fluides quantiques isothermes.) Zbl 1504.35218 Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu 1 2022 Logarithmic Schrödinger equation and isothermal fluids. Zbl 1528.35155 Carles, Rémi 1 2022 Orbital stability vs. scattering in the cubic-quintic Schrödinger equation. Zbl 1471.35254 Carles, Rémi; Sparber, Christof 15 2021 Logarithmic Schrödinger equation with quadratic potential. Zbl 1477.35233 Carles, Rémi; Ferriere, Guillaume 7 2021 Separation of scales: dynamical approximations for composite quantum systems. Zbl 1506.81038 Burghardt, Irene; Carles, Rémi; Fermanian Kammerer, Clotilde; Lasorne, Benjamin; Lasser, Caroline 3 2021 Global dynamics below the ground states for NLS under partial harmonic confinement. Zbl 1475.35309 Ardila, Alex H.; Carles, Rémi 2 2021 Semi-classical analysis for nonlinear Schrödinger equations. WKB analysis, focal points, coherent states. 2nd edition. Zbl 1448.35461 Carles, Rémi 2 2021 Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity. Zbl 1455.35232 Bhimani, Divyang G.; Carles, Rémi 8 2020 WKB analysis of nonelliptic nonlinear Schrödinger equations. Zbl 1447.35292 Carles, Rémi; Gallo, Clément 1 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 32 2019 Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 1507.35218 Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 22 2019 Universal dynamics for the defocusing logarithmic Schrödinger equation. Zbl 1394.35467 Carles, Rémi; Gallagher, Isabelle 40 2018 Rigidity results in generalized isothermal fluids. (Résultats de rigidité pour des fluides isothermes généralisés.) Zbl 1428.35348 Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu 11 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 16 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 14 2017 Replicator-mutator equations with quadratic fitness. Zbl 1376.92037 Alfaro, Matthieu; Carles, Rémi 11 2017 Superexponential growth or decay in the heat equation with a logarithmic nonlinearity. Zbl 1386.35129 Alfaro, Matthieu; Carles, Rémi 8 2017 Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective. Zbl 1382.35302 Carles, Rémi; Nouri, Anne 3 2017 WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity. Zbl 1368.35244 Carles, Rémi; Gallo, Clément 3 2017 On the spin-1 Bose-Einstein condensates in the presence of Ioffe-Pritchard magnetic field. Zbl 1349.35352 Hajaiej, Hichem; Carles, Rémi 3 2016 On semi-classical limit of nonlinear quantum scattering. (Limite semi-classique pour le scattering quantique non linéaire.) Zbl 1343.81202 Carles, Rémi 3 2016 Scattering for nonlinear Schrödinger equation under partial harmonic confinement. Zbl 1309.35124 Antonelli, Paolo; Carles, Rémi; Silva, Jorge Drumond 28 2015 Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases. Zbl 1317.35228 Carles, Rémi; Hajaiej, Hichem 19 2015 On nonlinear Schrödinger-type equations with nonlinear damping. Zbl 1309.35125 Antonelli, Paolo; Carles, Rémi; Sparber, Christof 16 2015 Higher-order Schrödinger and Hartree-Fock equations. Zbl 1328.81100 Carles, Rémi; Lucha, Wolfgang; Moulay, Emmanuel 16 2015 Finite time extinction for nonlinear Schrödinger equation in 1D and 2D. Zbl 1328.35208 Carles, Rémi; Ozawa, Tohru 12 2015 Large time behavior in nonlinear Schrödinger equations with time dependent potential. Zbl 1309.35128 Carles, Rémi; Silva, Jorge Drumond 11 2015 Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential. Zbl 1322.35123 Carles, Rémi 8 2015 Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement. Zbl 1328.35207 Carles, Rémi; Gallo, Clément 1 2015 Explicit solutions for replicator-mutator equations: extinction versus acceleration. Zbl 1334.92286 Alfaro, Matthieu; Carles, Rémi 16 2014 On the Cauchy problem for the Hartree type equation in the Wiener algebra. Zbl 1293.35288 Carles, Rémi; Mouzaoui, Lounès 13 2014 On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215 Carles, Rémi; Pelinovsky, Dmitry 9 2014 Splitting methods for the nonlocal Fowler equation. Zbl 1286.65109 Bouharguane, Afaf; Carles, Rémi 6 2014 On Fourier time-splitting methods for nonlinear Schrödinger equations in the semiclassical limit. Zbl 1290.35238 Carles, Rémi 17 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 7 2013 A nonlinear Landau-Zener formula. Zbl 1275.81029 Carles, Rémi; Fermanian-Kammerer, Clotilde 3 2013 Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142 Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude 46 2012 Energy cascades for NLS on the torus. Zbl 1238.35144 Carles, Rémi; Faou, Erwan 21 2012 Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Zbl 1238.81120 Carles, Rémi; Sparber, Christof 11 2012 Higher order Schrödinger equations. Zbl 1256.81034 Carles, Rémi; Moulay, Emmanuel 9 2012 Geometric optics and instability for NLS and Davey-Stewartson models. Zbl 1273.35248 Carles, Rémi; Dumas, Eric; Sparber, Christof 8 2012 Nonlinear dynamics of semiclassical coherent states in periodic potentials. Zbl 1248.81075 Carles, Rémi; Sparber, Christof 2 2012 Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105 Carles, Rémi 53 2011 Finite time extinction by nonlinear damping for the Schrödinger equation. Zbl 1228.35040 Carles, Rémi; Gallo, Clément 19 2011 Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation. Zbl 1216.35131 Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas 19 2011 Nonlinear coherent states and Ehrenfest time for Schrödinger equation. Zbl 1210.35227 Carles, Rémi; Fermanian-Kammerer, Clotilde 16 2011 A nonlinear adiabatic theorem for coherent states. Zbl 1231.81040 Carles, Rémi; Fermanian Kammerer, Clotilde 11 2011 Semi-classical wave packet dynamics for Hartree equations. Zbl 1239.35145 Cao, Pei; Carles, Rémi 4 2011 On Schrödinger equations with modified dispersion. Zbl 1256.35131 Carles, Rémi 3 2011 Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime. Zbl 1269.65104 Carles, Rémi; Mohammadi, Bijan 2 2011 Multiphase weakly nonlinear geometric optics for Schrödinger equations. Zbl 1210.35226 Carles, Rémi; Dumas, Eric; Sparber, Christof 20 2010 Loss of regularity for supercritical nonlinear Schrödinger equations. Zbl 1161.35047 Alazard, Thomas; Carles, Rémi 28 2009 Supercritical geometric optics for nonlinear Schrödinger equations. Zbl 1179.35302 Alazard, Thomas; Carles, Rémi 15 2009 On scattering for NLS: from Euclidean to hyperbolic space. Zbl 1168.35316 Banica, Valeria; Carles, Rémi; Duyckaerts, Thomas 13 2009 Analyticity of the scattering operator for semilinear dispersive equations. Zbl 1173.35677 Carles, Rémi; Gallagher, Isabelle 13 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 9 2009 Rotating points for the conformal NLS scattering operator. Zbl 1191.35270 Carles, Rémi 7 2009 WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity. Zbl 1167.35328 Alazard, Thomas; Carles, Rémi 6 2009 On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102 Carles, Rémi; Markowich, Peter A.; Sparber, Christof 54 2008 Semi-classical analysis for nonlinear Schrödinger equations. Zbl 1153.35070 Carles, Rémi 37 2008 Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198 Banica, Valeria; Carles, Rémi; Staffilani, Gigliola 18 2008 On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. Zbl 1147.35094 Carles, Rémi 8 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 5 2008 Semiclassical analysis for Hartree equation. Zbl 1161.35310 Carles, Rémi; Masaki, Satoshi 4 2008 On the wave operator for the critical nonlinear Schrödinger equation. Zbl 1188.35174 Carles, Rémi; Ozawa, Tohru 2 2008 On the semi-classical limit for the nonlinear Schrödinger equation. Zbl 1166.35372 Carles, Rémi 1 2008 On the role of quadratic oscillations in nonlinear Schrödinger equations. II: The \(L^2\)-critical case. Zbl 1115.35119 Carles, Rémi; Keraani, Sahbi 45 2007 Geometric optics and instability for semi-classical Schrödinger equations. Zbl 1134.35098 Carles, Rémi 25 2007 WKB analysis for nonlinear Schrödinger equations with potential. Zbl 1123.35062 Carles, Rémi 19 2007 Semi-classical limit of Schrödinger–Poisson equations in space dimension \(n\geqslant 3\). Zbl 1107.35018 Alazard, Thomas; Carles, Rémi 8 2007 Numerical aspects of nonlinear Schrödinger equations in the presence of caustics. Zbl 1162.35068 Carles, Rémi; Gosse, Laurent 3 2007 On instability for the cubic nonlinear Schrödinger equation. Zbl 1350.35179 Carles, Rémi 3 2007 Global existence results for nonlinear Schrödinger equations with quadratic potentials. Zbl 1086.35101 Carles, Rémi 18 2005 Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Zbl 1095.35044 Carles, Rémi 16 2005 Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130 Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent 13 2005 (Semi)Classical limit of the Hartree equation with harmonic potential. Zbl 1099.35128 Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter 5 2005 Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049 Carles, Rémi; Markowich, Peter A.; Sparber, Christof 16 2004 Nonlinear Schrödinger equations with Stark potential. Zbl 1069.35083 Carles, Rémi; Nakamura, Yoshihisa 6 2004 Semiclassical nonlinear Schrödinger equations with potential and focusing initial data. Zbl 1155.35090 Carles, Rémi; Miller, Luc 6 2004 Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic. Zbl 1094.35081 Carles, Rémi; Rauch, Jeffrey 2 2004 Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases. Zbl 1095.35010 Carles, Rémi; Rauch, Jeffrey 1 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 1 2004 Nonlinear Schrödinger equations with repulsive harmonic potential and applications. Zbl 1054.35090 Carles, Rémi 37 2003 Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation. Zbl 1031.35119 Carles, Rémi 13 2003 On the role of quadratic oscillations in nonlinear Schrödinger equations. Zbl 1059.35134 Carles, Rémi; Fermanian Kammerer, Clotilde; Gallagher, Isabelle 4 2003 Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081 Carles, Rémi; Lannes, David 1 2003 Critical nonlinear Schrödinger equations with and without harmonic potential. Zbl 1029.35208 Carles, Rémi 50 2002 Remarks on nonlinear Schrödinger equations with harmonic potential. Zbl 1021.81013 Carles, R. 46 2002 Focusing of spherical nonlinear pulses in \({\mathbb R}^{1+3}\). Zbl 0983.35089 Carles, R.; Rauch, J. 2 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 1 2002 Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations. Zbl 1029.35211 Carles, Rémi 16 2001 Remarks on Wigner measures. (Remarques sur les mesures de Wigner.) Zbl 0984.35152 Carles, Rémi 9 2001 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 839 Authors 64 Carles, Rémi 22 Sparber, Christof 15 Bao, Weizhu 14 Zhang, Jian 13 Antonelli, Paolo 13 Fermanian-Kammerer, Clotilde 11 Feng, Binhua 11 Luo, Xiao 11 Visan, Monica 10 Banica, Valeria 10 Hajaiej, Hichem 10 Kawamoto, Masaki 9 Killip, Rowan 9 Murphy, Jason 9 Raphael, Pierre 9 Thomann, Laurent 8 Bhimani, Divyang G. 8 Markowich, Peter Alexander 8 Tzvetkov, Nikolay 7 Antoine, Xavier 7 Audiard, Corentin 7 Méhats, Florian 7 Naumkin, Ivan P. 7 Oh, Tadahiro 7 Ozawa, Tohru 7 Su, Chunmei 7 Vega, Luis 7 Visciglia, Nicola 7 Zhu, Shihui 6 Alfaro, Matthieu 6 Bégout, Pascal 6 Besse, Christophe 6 Dinh, Van Duong 6 Ferriere, Guillaume 6 Jia, HuiFang 6 Jin, Shi 6 Klein, Christian 6 Lasser, Caroline 6 Lee, Sanghyuk 6 Martel, Yvan 6 Masaki, Satoshi 6 Pausader, Benoît 6 Saanouni, Tarek 6 Sacchetti, Andrea 6 Tang, Qinglin 6 Zhao, Dun 5 Alazard, Thomas 5 Alouini, Brahim 5 Bellazzini, Jacopo 5 Cai, Yongyong 5 Cheng, Xing 5 Faou, Erwan 5 Gosse, Laurent 5 Grébert, Benoît 5 Hani, Zaher 5 Hyakuna, Ryosuke 5 Jeanjean, Louis 5 Li, Xiaoguang 5 Paul, Thierry 5 Roques, Lionel J. 5 Yan, JingYe 5 Yin, Jia 5 Yu, Xueying 4 Arbunich, Jack 4 Athanassoulis, Agisillaos 4 Burq, Nicolas 4 Chauleur, Quentin 4 Chen, Xuwen 4 de Laire, André 4 Díaz Díaz, Jesús Ildefonso 4 Feng, Yue 4 Forcella, Luigi 4 Frank, Rupert L. 4 Gallo, Clément 4 Goubet, Olivier 4 Hamel, François 4 Jammazi, Chaker 4 Jao, Casey 4 Keraani, Sahbi 4 Li, Meng 4 Ma, Li 4 Martin, Guillaume 4 Mauser, Norbert Julius 4 Pocovnicu, Oana 4 Qian, Xu 4 Shuai, Wei 4 Song, Songhe 4 Staffilani, Gigliola 4 Vargas, Ana M. 4 Weishäupl, Rada-Maria 4 Yang, Xu 4 Zhang, Hong 4 Zhang, Xiaoyi 4 Zhao, Lifeng 4 Zhao, Zehua 3 Anker, Jean-Philippe 3 Bényi, Árpád 3 Bernier, Joackim 3 Bouharguane, Afaf 3 Cai, Jiaxiang ...and 739 more Authors all top 5 Cited in 207 Serials 34 Journal of Differential Equations 27 Journal of Mathematical Analysis and Applications 27 Journal of Mathematical Physics 25 Communications in Partial Differential Equations 22 Journal of Functional Analysis 21 SIAM Journal on Mathematical Analysis 20 Communications in Mathematical Physics 18 Archive for Rational Mechanics and Analysis 18 Nonlinear Analysis. 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