# zbMATH — the first resource for mathematics

## Carles, Rémi

Compute Distance To:
 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)

#### 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 1029.35208
Carles, Rémi
2002
On the role of quadratic oscillations in nonlinear Schrödinger equations. II: The $$L^2$$-critical case. Zbl 1115.35119
Carles, Rémi; Keraani, Sahbi
2007
Remarks on nonlinear Schrödinger equations with harmonic potential. Zbl 1021.81013
Carles, R.
2002
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
2011
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
Nonlinear Schrödinger equations with repulsive harmonic potential and applications. Zbl 1054.35090
Carles, Rémi
2003
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
2012
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
Multiphase weakly nonlinear geometric optics for Schrödinger equations. Zbl 1210.35226
Carles, Rémi; Dumas, Eric; Sparber, Christof
2010
Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198
Banica, Valeria; Carles, Rémi; Staffilani, Gigliola
2008
WKB analysis for nonlinear Schrödinger equations with potential. Zbl 1123.35062
Carles, Rémi
2007
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
Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Zbl 1095.35044
Carles, Rémi
2005
Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations. Zbl 1029.35211
Carles, Rémi
2001
Global existence results for nonlinear Schrödinger equations with quadratic potentials. Zbl 1086.35101
Carles, Rémi
2005
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
Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation. Zbl 1031.35119
Carles, Rémi
2003
Explicit solutions for replicator-mutator equations: extinction versus acceleration. Zbl 1334.92286
Alfaro, Matthieu; Carles, Rémi
2014
Nonlinear coherent states and Ehrenfest time for Schrödinger equation. Zbl 1210.35227
Carles, Rémi; Fermanian-Kammerer, Clotilde
2011
On the Cauchy problem for the Hartree type equation in the Wiener algebra. Zbl 1293.35288
Carles, Rémi; Mouzaoui, Lounès
2014
On Fourier time-splitting methods for nonlinear Schrödinger equations in the semiclassical limit. Zbl 1290.35238
Carles, Rémi
2013
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
2004
Geometric optics with caustic crossing for some nonlinear Schrödinger equations. Zbl 0970.35143
Carles, Rémi
2000
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
Universal dynamics for the defocusing logarithmic Schrödinger equation. Zbl 1394.35467
Carles, Rémi; Gallagher, Isabelle
2018
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
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
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
Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. Zbl 1428.35488
Carles, Rémi; Kappeler, Thomas
2017
Finite time extinction for nonlinear Schrödinger equation in 1D and 2D. Zbl 1328.35208
Carles, Rémi; Ozawa, Tohru
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
Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Zbl 1238.81120
Carles, Rémi; Sparber, Christof
2012
Analyticity of the scattering operator for semilinear dispersive equations. Zbl 1173.35677
Carles, Rémi; Gallagher, Isabelle
2009
On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. Zbl 1147.35094
Carles, Rémi
2008
Semi-classical limit of Schrödinger–Poisson equations in space dimension $$n\geqslant 3$$. Zbl 1107.35018
Alazard, Thomas; Carles, Rémi
2007
Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2005
Remarks on Wigner measures. Zbl 0984.35152
Carles, Rémi
2001
Replicator-mutator equations with quadratic fitness. Zbl 1376.92037
Alfaro, Matthieu; Carles, Rémi
2017
Large time behavior in nonlinear Schrödinger equations with time dependent potential. Zbl 1309.35128
Carles, Rémi; Silva, Jorge Drumond
2015
Geometric optics and instability for NLS and Davey-Stewartson models. Zbl 1273.35248
Carles, Rémi; Dumas, Eric; Sparber, Christof
2012
A nonlinear adiabatic theorem for coherent states. Zbl 1231.81040
Carles, Rémi; Fermanian Kammerer, Clotilde
2011
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
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
(Semi)Classical limit of the Hartree equation with harmonic potential. Zbl 1099.35128
Carles, Rémi; Mauser, Norbert J.; Stimming, Hans Peter
2005
Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential. Zbl 1322.35123
Carles, Rémi
2015
On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215
Carles, Rémi; Pelinovsky, Dmitry
2014
Higher order Schrödinger equations. Zbl 1256.81034
Carles, Rémi; Moulay, Emmanuel
2012
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
On the role of quadratic oscillations in nonlinear Schrödinger equations. Zbl 1059.35134
Carles, Rémi; Fermanian Kammerer, Clotilde; Gallagher, Isabelle
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
2019
Splitting methods for the nonlocal Fowler equation. Zbl 1286.65109
Bouharguane, Afaf; Carles, Rémi
2014
Semi-classical wave packet dynamics for Hartree equations. Zbl 1239.35145
Cao, Pei; Carles, Rémi
2011
Semiclassical analysis for Hartree equation. Zbl 1161.35310
Carles, Rémi; Masaki, Satoshi
2008
On instability for the cubic nonlinear Schrödinger equation. Zbl 1350.35179
Carles, Rémi
2007
Focusing of spherical nonlinear pulses in $$\mathbb{R}^{1+3}$$ and absorption. Zbl 0988.35120
Carles, Rémi; Rauch, Jeffrey
2001
A nonlinear Landau-Zener formula. Zbl 1275.81029
Carles, Rémi; Fermanian-Kammerer, Clotilde
2013
Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime. Zbl 1269.65104
2011
On the wave operator for the critical nonlinear Schrödinger equation. Zbl 1188.35174
Carles, Rémi; Ozawa, Tohru
2008
Numerical aspects of nonlinear Schrödinger equations in the presence of caustics. Zbl 1162.35068
Carles, Rémi; Gosse, Laurent
2007
Focusing of spherical nonlinear pulses in $$\mathbb R^{1+3}$$. II: Nonlinear caustic. Zbl 1094.35081
Carles, Rémi; Rauch, Jeffrey
2004
The semi-classical Schrödinger equation with harmonic potential and nonlinear perturbation. Zbl 1292.35273
Carles, Rémi
2002
Focusing of spherical nonlinear pulses in $${\mathbb R}^{1+3}$$. Zbl 0983.35089
Carles, R.; Rauch, J.
2002
Focusing of spherical nonlinear pulses in $$\mathbb{R}^{1+3}$$ and scattering. Zbl 0985.35045
Carles, Rémi; Rauch, Jeffrey
2001
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
Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin
2019
Rigidity results in generalized isothermal fluids. 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
WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity. Zbl 1368.35244
Carles, Rémi; Gallo, Clément
2017
Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement. Zbl 1328.35207
Carles, Rémi; Gallo, Clément
2015
Nonlinear dynamics of semiclassical coherent states in periodic potentials. Zbl 1248.81075
Carles, Rémi; Sparber, Christof
2012
On Schrödinger equations with modified dispersion. Zbl 1256.35131
Carles, Rémi
2011
Focusing of spherical nonlinear pulses in $$\mathbb R^{1+3}$$. III: Sub and supercritical cases. Zbl 1095.35010
Carles, Rémi; Rauch, Jeffrey
2004
Scattering for the Schrödinger equation with a repulsive potential. Zbl 1047.35115
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2004
Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081
Carles, Rémi; Lannes, David
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
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. 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
Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. Zbl 1428.35488
Carles, Rémi; Kappeler, Thomas
2017
Replicator-mutator equations with quadratic fitness. Zbl 1376.92037
Alfaro, Matthieu; Carles, Rémi
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
Scattering for nonlinear Schrödinger equation under partial harmonic confinement. Zbl 1309.35124
Antonelli, Paolo; Carles, Rémi; Silva, Jorge Drumond
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
Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases. Zbl 1317.35228
Carles, Rémi; Hajaiej, Hichem
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
Geometric optics and instability for NLS and Davey-Stewartson models. Zbl 1273.35248
Carles, Rémi; Dumas, Eric; Sparber, Christof
2012
Higher order Schrödinger equations. Zbl 1256.81034
Carles, Rémi; Moulay, Emmanuel
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
Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Zbl 1095.35044
Carles, Rémi
2005
Global existence results for nonlinear Schrödinger equations with quadratic potentials. Zbl 1086.35101
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
Focusing of spherical nonlinear pulses in $$\mathbb R^{1+3}$$. III: Sub and supercritical cases. Zbl 1095.35010
Carles, Rémi; Rauch, Jeffrey
2004
Scattering for the Schrödinger equation with a repulsive potential. Zbl 1047.35115
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
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
The semi-classical Schrödinger equation with harmonic potential and nonlinear perturbation. Zbl 1292.35273
Carles, Rémi
2002
Focusing of spherical nonlinear pulses in $${\mathbb R}^{1+3}$$. Zbl 0983.35089
Carles, R.; Rauch, J.
2002
Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations. Zbl 1029.35211
Carles, Rémi
2001
Remarks on Wigner measures. Zbl 0984.35152
Carles, Rémi
2001
Focusing of spherical nonlinear pulses in $$\mathbb{R}^{1+3}$$ and absorption. Zbl 0988.35120
Carles, Rémi; Rauch, Jeffrey
2001
Focusing of spherical nonlinear pulses in $$\mathbb{R}^{1+3}$$ and scattering. 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
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)