Rémi Carles Directeur de recherche CNRS

Identifiants chercheurs

IdHAL :

remicarles

ORCID :

0000-0002-8866-587X

IdRef :

12889704X

Publications

Pré-publication, Document de travail (8)

On the ground state of the nonlinear Schrödinger equation: asymptotic behavior at the endpoint powers Rémi Carles,Quentin Chauleur,Guillaume Ferriere,Dmitry Pelinovsky 2026 Pré-publication, Document de travail hal-05409500v2
On scattering for NLS: rigidity properties and numerical simulations via the lens transform Rémi Carles,Georg Maierhofer 2026 Pré-publication, Document de travail hal-05109256v2
Time splitting and error estimates for nonlinear Schrodinger equations with a potential Rémi Carles 2025 Pré-publication, Document de travail hal-04677959v3
On the dependence of the nonlinear Schrodinger flow upon the power of the nonlinearity Rémi Carles,Quentin Chauleur,Guillaume Ferriere 2025 Pré-publication, Document de travail hal-05288185v1
Small-time approximate controllability of the logarithmic Schrödinger equation Karine Beauchard,Rémi Carles,Eugenio Pozzoli 2025 Pré-publication, Document de travail hal-05316791v1
A toy model for frequency cascade in the nonlinear Schrodinger equation Rémi Carles,Erwan Faou 2025 Pré-publication, Document de travail hal-05117614v1
WKB analysis for the nonlinear Schrodinger equation and instability results Rémi Carles 2007 Pré-publication, Document de travail hal-00130403v1
Focusing at a point with caustic crossing for a class of nonlinear equations Remi Carles,David Lannes 2003 Pré-publication, Document de travail hal-00128346v1

Ouvrages (1)

Recent Progress on Numerical Analysis for Nonlinear Dispersive Equations Rémi Carles,Chunmei Su WORLD SCIENTIFIC, 2025, ⟨10.1142/14405⟩ Ouvrages hal-05267140v1

Article dans une revue (106)

On the Cauchy problem for logarithmic fractional Schrödinger equation Rémi Carles,Fangyuan Dong Portugaliae Mathematica, 2025, 82 (1/2), pp.155-175. ⟨10.4171/pm/2133⟩ Article dans une revue hal-04538854v1
Pathological set with loss of regularity for nonlinear Schrödinger equations Rémi Carles,Louise Gassot Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2025, 42 (3), pp.715-753. ⟨10.4171/aihpc/126⟩ Article dans une revue hal-04075293v2
Propagation of coherent states in the logarithmic Schrodinger equation Rémi Carles,Fangyuan Dong Communications in Mathematical Sciences, 2025, 23 (8), pp.2151-2175. ⟨10.4310/CMS.250930030331⟩ Article dans une revue hal-04914625v2
Dynamics near the origin of the long range scattering for the one-dimensional Schrödinger equation Rémi Carles Comptes Rendus. Mathématique, 2024, 362, pp.1717-1742. ⟨10.5802/crmath.676⟩ Article dans une revue hal-04452342v1
Scattering and uniform in time error estimates for splitting method in NLS Rémi Carles,Chunmei Su Foundations of Computational Mathematics, 2024, 24 (2), pp.683-722. ⟨10.1007/s10208-022-09600-9⟩ Article dans une revue hal-03403443v2
Logarithmic Gross-Pitaevskii equation Rémi Carles,Guillaume Ferriere Communications in Partial Differential Equations, 2024, 49 (1-2), pp.88-120. ⟨10.1080/03605302.2023.2296924⟩ Article dans une revue hal-03790977v3
On nonlinear effects in multiphase WKB analysis for the nonlinear Schrodinger equation Rémi Carles Nonlinearity, 2024, 37 (6), pp.065017. ⟨10.1088/1361-6544/ad4505⟩ Article dans une revue hal-04198416v4
Low regularity solutions to the logarithmic Schrodinger equation Rémi Carles,Masayuki Hayashi,Tohru Ozawa Pure and Applied Analysis, 2024, 6 (3), pp.859-871. ⟨10.2140/paa.2024.6.859⟩ Article dans une revue hal-04268646v2
On stability of rotational 2D binary Bose-Einstein condensates Rémi Carles,Van Duong Dinh,Hichem Hajaiej Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2023, 32 (1), pp.81-124. ⟨10.5802/afst.1730⟩ Article dans une revue hal-02965508v2
Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential Rémi Carles,Chunmei Su Discrete and Continuous Dynamical Systems - Series B, 2023, 28 (5), pp.3136 - 3159. ⟨10.3934/dcdsb.2022206⟩ Article dans une revue hal-03576487v2
On an intercritical log-modified nonlinear Schrodinger equation in two spatial dimensions Rémi Carles,Christof Sparber Proceedings of the American Mathematical Society, 2023, 151 (10), pp.4173-4189. ⟨10.1090/proc/15636⟩ Article dans une revue hal-02869491v1
On the Cauchy problem for the Hartree approximation in quantum dynamics Rémi Carles,Clotilde Fermanian Kammerer,Caroline Lasser Nonlinearity, 2023, 36 (6), pp.3158-3181. ⟨10.1088/1361-6544/accf5a⟩ Article dans une revue hal-03738486v1
On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations Rémi Carles,Christian Klein,Christof Sparber ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (2), pp.423-443. ⟨10.1051/m2an/2022085⟩ Article dans une revue hal-03085923v2
Dynamical approximations for composite quantum systems: assessment of error estimates for a separable ansatz Irene Burghardt,Rémi Carles,Clotilde Fermanian Kammerer,Benjamin Lasorne,Caroline Lasser Journal of Physics A: Mathematical and Theoretical, 2022, 55 (22), pp.224010. ⟨10.1088/1751-8121/ac6841⟩ Article dans une revue hal-03868449v3
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation Rémi Carles,Kleber Carrapatoso,Matthieu Hillairet Quarterly of Applied Mathematics, 2022, 80, pp.549-574. ⟨10.1090/qam/1618⟩ Article dans une revue hal-03142668v2
On ground states for the 2D Schrodinger equation with combined nonlinearities and harmonic potential Rémi Carles,Yavdat Ilyasov Studies in Applied Mathematics, 2022, ⟨10.1111/sapm.12534⟩ Article dans une revue hal-03375507v2
Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential Rémi Carles,Chunmei Su Communications in Partial Differential Equations, 2022, 47 (6), pp.1176-1192. ⟨10.1080/03605302.2022.2050257⟩ Article dans une revue hal-03293209v2
Logarithmic Schrödinger equation and isothermal fluids Rémi Carles EMS Surveys in Mathematical Sciences, 2022, 9 (1), pp.99-134. ⟨10.4171/emss/54⟩ Article dans une revue hal-03327281v2
Constructive and destructive interferences in nonlinear hyperbolic equations Rémi Carles,Christophe Cheverry Mémoires de la Société Mathématique de France, 2022, 174, pp.vi+110. ⟨10.24033/msmf.482⟩ Article dans une revue hal-02160302v3
Error estimates of local energy regularization for the logarithmic Schrodinger equation Weizhu Bao,Rémi Carles,Chunmei Su,Qinglin Tang Mathematical Models and Methods in Applied Sciences, 2022, 32 (1), pp.101-136. ⟨10.1142/S0218202522500038⟩ Article dans une revue hal-02817115v2
Global weak solutions for quantum isothermal fluids Rémi Carles,Kleber Carrapatoso,Matthieu Hillairet Annales de l'Institut Fourier, 2022, 72 (6), pp.2241-2298. ⟨10.5802/aif.3489⟩ Article dans une revue hal-02116596v2
Separation of scales: Dynamical approximations for composite quantum systems Irene Burghardt,Rémi Carles,Clotilde Fermanian Kammerer,Benjamin Lasorne,Caroline Lasser Journal of Physics A: Mathematical and Theoretical, 2021, 54 (41), pp.article n°414002. ⟨10.1088/1751-8121/ac219d⟩ Article dans une revue hal-03064636v3
Orbital stability vs. scattering in the cubic-quintic Schrodinger equation Rémi Carles,Christof Sparber Reviews in Mathematical Physics, 2021, 33 (3), pp.article n° 2150004. ⟨10.1142/S0129055X21500045⟩ Article dans une revue hal-02475123v3
Global dynamics below the ground states for NLS under partial harmonic confinement Alex H Ardila,Rémi Carles Communications in Mathematical Sciences, 2021, 19 (4), pp.993-1032. ⟨10.4310/CMS.2021.v19.n4.a6⟩ Article dans une revue hal-02864076v1
Logarithmic Schrödinger equation with quadratic potential Rémi Carles,Guillaume Ferriere Nonlinearity, 2021, 34 (12), pp.8283-8310. ⟨10.1088/1361-6544/ac3144⟩ Article dans une revue hal-03247353v2
Norm inflation for nonlinear Schrodinger equations in Fourier-Lebesgue and modulation spaces of negative regularity Divyang G. Bhimani,Rémi Carles Journal of Fourier Analysis and Applications, 2020, 26 (6), pp.n° 78. ⟨10.1007/s00041-020-09788-w⟩ Article dans une revue hal-02560258v2
WKB analysis of non-elliptic nonlinear Schrodinger equations Rémi Carles,Clément Gallo Communications in Contemporary Mathematics, 2020, 22 (6), pp.1950045. ⟨10.1142/S0219199719500457⟩ Article dans une revue hal-01921759v1
A conservation law with spatially localized sublinear damping Christophe Besse,Rémi Carles,Sylvain Ervedoza Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2020, 37 (1), pp.13-50. ⟨10.1016/j.anihpc.2019.03.002⟩ Article dans une revue hal-01741189v2
Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation Weizhu Bao,Rémi Carles,Chunmei Su,Qinglin Tang SIAM Journal on Numerical Analysis, 2019, 57 (2), pp.657-680. ⟨10.1137/18M1177445⟩ Article dans une revue hal-01745366v1
Regularized numerical methods for the logarithmic Schrodinger equation Weizhu Bao,Rémi Carles,Chunmei Su,Qinglin Tang Numerische Mathematik, 2019, 143 (2), pp.461-487. ⟨10.1007/s00211-019-01058-2⟩ Article dans une revue hal-01937783v1
Universal dynamics for the defocusing logarithmic Schrodinger equation Rémi Carles,Isabelle Gallagher Duke Mathematical Journal, 2018, 167 (9), pp.1761-1801. ⟨10.1215/00127094-2018-0006⟩ Article dans une revue hal-01398526v4
Rigidity results in generalized isothermal fluids Rémi Carles,Kleber Carrapatoso,Matthieu Hillairet Annales Henri Lebesgue, 2018, 1, pp.47-85. ⟨10.5802/ahl.2⟩ Article dans une revue hal-01738494v2
Replicator-mutator equations with quadratic fitness Matthieu Alfaro,Rémi Carles Proceedings of the American Mathematical Society, 2017, 145 (2), pp.5315-5327. ⟨10.1090/proc/13669⟩ Article dans une revue hal-01399269v1
Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective Rémi Carles,Anne Nouri Asymptotic Analysis, 2017, 102 (1-2), pp.99-117. ⟨10.3233/ASY-171412⟩ Article dans une revue hal-01167342v2
WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity Rémi Carles,Clément Gallo Mathematical Models and Methods in Applied Sciences, 2017, 27 (9), pp.1727-1742. ⟨10.1142/S0218202517500300⟩ Article dans une revue hal-01415010v1
Superexponential growth or decay in the heat equation with a logarithmic nonlinearity Matthieu Alfaro,Rémi Carles Dynamics of Partial Differential Equations, 2017, 14 (4), pp.343-358. ⟨10.4310/DPDE.2017.v14.n4.a2⟩ Article dans une revue hal-01494528v1
On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit II. Analytic regularity Rémi Carles,Clément Gallo Numerische Mathematik, 2017, 136 (1), pp.315-342. ⟨10.1007/s00211-016-0841-y⟩ Article dans une revue hal-01271907v1
Norm-inflation for periodic NLS equations in negative Sobolev spaces Rémi Carles,Thomas Kappeler Bulletin de la société mathématique de France, 2017, 145 (4), pp.623-642. ⟨10.24033/bsmf.2749⟩ Article dans une revue hal-01176513v1
On semi-classical limit of nonlinear quantum scattering Rémi Carles Annales Scientifiques de l'École Normale Supérieure, 2016, 49 (3), pp.711-756. ⟨10.24033/asens.2294⟩ Article dans une revue hal-01117475v1
Higher order Schrodinger and Hartree-Fock equations Rémi Carles,Wolfgang Lucha,Emmanuel Moulay Journal of Mathematical Physics, 2015, 56 (12), pp.122301. ⟨10.1063/1.4936646⟩ Article dans une revue hal-00824396v2
Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases Rémi Carles,Hichem Hajaiej Bulletin of the London Mathematical Society, 2015, 47 (3), pp.509-518. ⟨10.1112/blms/bdv024⟩ Article dans une revue hal-00953716v1
Scattering for nonlinear Schrodinger equation under partial harmonic confinement Paolo Antonelli,Rémi Carles,Jorge Drumond Silva Communications in Mathematical Physics, 2015, 334 (1), pp.367-396. ⟨10.1007/s00220-014-2166-y⟩ Article dans une revue hal-00870043v2
Finite time extinction for nonlinear Schrodinger equation in 1D and 2D Rémi Carles,Tohru Ozawa Communications in Partial Differential Equations, 2015, 40 (5), pp.897-917. ⟨10.1080/03605302.2014.967356⟩ Article dans une revue hal-00986957v1
Scattering for the nonlinear Schrodinger equation with a general one-dimensional confinement Rémi Carles,Clément Gallo Journal of Mathematical Physics, 2015, 56 (10), pp.101503. ⟨10.1063/1.4932604⟩ Article dans une revue hal-01112796v1
On nonlinear Schrodinger type equations with nonlinear damping Paolo Antonelli,Rémi Carles,Christof Sparber International Mathematics Research Notices, 2015, 2015, pp.740-762. ⟨10.1093/imrn/rnt217⟩ Article dans une revue hal-00799407v2
Sharp weights in the Cauchy problem for nonlinear Schrodinger equations with potential Rémi Carles Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2015, 66 (4), pp.2087-2094. ⟨10.1007/s00033-015-0501-6⟩ Article dans une revue hal-01066391v3
Large time behavior in nonlinear Schrodinger equation with time dependent potential Rémi Carles,Jorge Drumond Silva Communications in Mathematical Sciences, 2015, 13 (2), pp.443-460. ⟨10.4310/CMS.2015.v13.n2.a9⟩ Article dans une revue hal-00823573v1
On the orbital stability of Gaussian solitary waves in the log-KdV equation Rémi Carles,Dmitry Pelinovsky Nonlinearity, 2014, 27 (12), pp.3185 - 3202. ⟨10.1088/0951-7715/27/12/3185⟩ Article dans une revue hal-01084975v1
On the Cauchy problem for Hartree equation in the Wiener algebra Rémi Carles,Lounes Mouzaoui Proceedings of the American Mathematical Society, 2014, 142 (7), pp.2469-2482. ⟨10.1090/S0002-9939-2014-12072-7⟩ Article dans une revue hal-00697812v1
Explicit solutions for replicator-mutator equations: extinction vs. acceleration Matthieu Alfaro,Rémi Carles SIAM Journal on Applied Mathematics, 2014, 74 (6), pp.1919-1934. ⟨10.1137/140979411⟩ Article dans une revue hal-00989559v1
Splitting methods for the nonlocal Fowler equation Afaf Bouharguane,Rémi Carles Mathematics of Computation, 2014, 83 (287), pp.1121-1141. ⟨10.1090/S0025-5718-2013-02757-3⟩ Article dans une revue hal-00623620v2
On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit Rémi Carles SIAM Journal on Numerical Analysis, 2013, 51 (6), pp.3232-3258. ⟨10.1137/120892416⟩ Article dans une revue hal-00733128v2
An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit Christophe Besse,Rémi Carles,Florian Méhats Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2013, 11 (4), pp.1228-1260. ⟨10.1137/120899017⟩ Article dans une revue hal-00752011v1
A nonlinear Landau-Zener formula Rémi Carles,Clotilde Fermanian Kammerer Journal of Statistical Physics, 2013, 152 (4), pp.619-656. ⟨10.1007/s10955-013-0785-x⟩ Article dans une revue hal-00759132v2
Energy cascades for NLS on $\T^d$ Rémi Carles,Erwan Faou Discrete and Continuous Dynamical Systems - Series S, 2012, 32 (6), pp.2063-2077. ⟨10.3934/dcds.2012.32.2063⟩ Article dans une revue hal-00528792v2
Nonlinear Schrodinger equation and frequency saturation Rémi Carles Analysis & PDE, 2012, 5 (5), pp.1157-1173. ⟨10.2140/apde.2012.5.1157⟩ Article dans une revue hal-00651045v2
Madelung, Gross-Pitaevskii and Korteweg Rémi Carles,Raphaël Danchin,Jean-Claude Saut Nonlinearity, 2012, 25 (10), pp.2843-2873. ⟨10.1088/0951-7715/25/10/2843⟩ Article dans une revue hal-00642958v1
Geometric optics and instability for NLS and Davey-Stewartson models Rémi Carles,Eric Dumas,Christof Sparber Journal of the European Mathematical Society, 2012, 14 (6), pp.1885-1921. ⟨10.4171/JEMS/350⟩ Article dans une revue hal-00494620v1
Higher order Schrödinger equations Rémi Carles,Emmanuel Moulay Journal of Physics A: Mathematical and Theoretical, 2012, 45 (39), pp.395304. ⟨10.1088/1751-8113/45/39/395304⟩ Article dans une revue istex hal-00776157v1
Semiclassical wave packet dynamics in Schrodinger equations with periodic potentials Rémi Carles,Christof Sparber Discrete and Continuous Dynamical Systems - Series B, 2012, 17 (3), pp.759-774. ⟨10.3934/dcdsb.2012.17.759⟩ Article dans une revue hal-00556468v2
Interaction of coherent states for Hartree equations Rémi Carles Archive for Rational Mechanics and Analysis, 2012, 204 (2), pp.559-598. ⟨10.1007/s00205-011-0487-y⟩ Article dans une revue hal-00583214v3
Nonlinear dynamics of semiclassical coherent states in periodic potentials Rémi Carles,Christof Sparber Journal of Physics A: Mathematical and Theoretical, 2012, 45 (24), pp.244032. ⟨10.1088/1751-8113/45/24/244032⟩ Article dans une revue hal-00637052v1
Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime Rémi Carles,Bijan Mohammadi ESAIM: Mathematical Modelling and Numerical Analysis, 2011, 45 (5), pp.981-1008. ⟨10.1051/m2an/2011005⟩ Article dans une revue hal-00454427v2
Finite time extinction by nonlinear damping for the Schrodinger equation Rémi Carles,Clément Gallo Communications in Partial Differential Equations, 2011, 36 (6), pp.961-975. ⟨10.1080/03605302.2010.531074⟩ Article dans une revue hal-00496616v2
A Nonlinear Adiabatic Theorem for Coherent States Rémi Carles,Clotilde Fermanian Kammerer Nonlinearity, 2011, 24 (8), pp.2143-2164. ⟨10.1088/0951-7715/24/8/002⟩ Article dans une revue hal-00530175v1
Nonlinear Schrodinger equation with time dependent potential Rémi Carles Communications in Mathematical Sciences, 2011, 9 (4), pp.937-964. ⟨10.4310/CMS.2011.v9.n4.a1⟩ Article dans une revue hal-00426530v2
Nonlinear coherent states and Ehrenfest time for Schrodinger equation Rémi Carles,Clotilde Fermanian Kammerer Communications in Mathematical Physics, 2011, 301 (2), pp.443-472. ⟨10.1007/s00220-010-1154-0⟩ Article dans une revue hal-00440273v1
Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation Valeria Banica,Rémi Carles,Thomas Duyckaerts Communications in Partial Differential Equations, 2011, 36 (3), pp.487-531. ⟨10.1080/03605302.2010.513410⟩ Article dans une revue hal-00374344v3
On Schrodinger equations with modified dispersion Rémi Carles Dynamics of Partial Differential Equations, 2011, 8 (3), pp.173-184. ⟨10.4310/DPDE.2011.v8.n3.a1⟩ Article dans une revue hal-00595434v3
Semiclassical wave packet dynamics for Hartree equations Pei Cao,Rémi Carles Reviews in Mathematical Physics, 2011, 23 (9), pp.933-967. ⟨10.1142/S0129055X11004485⟩ Article dans une revue hal-00559476v3
Multiphase weakly nonlinear geometric optics for Schrodinger equations Rémi Carles,Eric Dumas,Christof Sparber SIAM Journal on Mathematical Analysis, 2010, 42 (1), pp.489-518. ⟨10.1137/090750871⟩ Article dans une revue hal-00361348v2
On scattering for NLS: from Euclidean to hyperbolic space Valeria Banica,Rémi Carles,Thomas Duyckaerts Discrete and Continuous Dynamical Systems - Series A, 2009, 24 (4), pp.1113-1127. ⟨10.3934/dcds.2009.24.1113⟩ Article dans une revue hal-00204575v2
Rotating points for the conformal NLS scattering operator Rémi Carles Dynamics of Partial Differential Equations, 2009, 6 (1), pp.35-51. ⟨10.4310/DPDE.2009.v6.n1.a3⟩ Article dans une revue hal-00339952v2
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity Thomas Alazard,Rémi Carles Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2009, 26 (3), pp.959-977. ⟨10.1016/j.anihpc.2008.02.006⟩ Article dans une revue hal-00176524v1
Loss of regularity for supercritical nonlinear Schrodinger equations Thomas Alazard,Rémi Carles Mathematische Annalen, 2009, 343 (2), pp.397-420. ⟨10.1007/s00208-008-0276-6⟩ Article dans une revue hal-00127815v3
Analyticity of the scattering operator for semilinear dispersive equations Rémi Carles,Isabelle Gallagher Communications in Mathematical Physics, 2009, 286 (3), pp.1181-1209. ⟨10.1007/s00220-008-0599-x⟩ Article dans une revue hal-00216145v1
On the time evolution of Wigner measures for Schrodinger equations Rémi Carles,Clotilde Fermanian Kammerer,Norbert Mauser,Hans Peter Stimming Communications on Pure and Applied Analysis, 2009, 8 (2), pp.559-585. ⟨10.3934/cpaa.2009.8.559⟩ Article dans une revue hal-00260846v1
Supercritical geometric optics for nonlinear Schrodinger equations Thomas Alazard,Rémi Carles Archive for Rational Mechanics and Analysis, 2009, 194 (1), pp.315-347. ⟨10.1007/s00205-008-0176-7⟩ Article dans une revue hal-00142467v2
Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests Christophe Besse,Rémi Carles,Norbert Mauser,Hans-Peter Stimming Discrete and Continuous Dynamical Systems - Series B, 2008, 9 (1), pp.11-36. ⟨10.3934/dcdsb.2008.9.11⟩ Article dans une revue hal-00020062v2
On the Cauchy problem in Sobolev spaces for nonlinear Schrodinger equations with potential Rémi Carles Portugal. Math. (N.S.), 2008, 65 (2), pp.191-209 Article dans une revue hal-00093953v2
On the Gross-Pitaevskii equation for trapped dipolar quantum gases Rémi Carles,Peter Markowich,Christof Sparber Nonlinearity, 2008, 21, pp.2569-2590. ⟨10.1088/0951-7715/21/11/006⟩ Article dans une revue hal-00277453v1
On the wave operators for the critical nonlinear Schrodinger equation Rémi Carles,Tohru Ozawa Mathematical Research Letters, 2008, 15 (1), pp.185-195. ⟨10.4310/MRL.2008.v15.n1.a15⟩ Article dans une revue hal-00133041v1
Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space Valeria Banica,Rémi Carles,Gigliola Staffilani Geometric And Functional Analysis, 2008, 18 (2), pp.367-399. ⟨10.1007/s00039-008-0663-x⟩ Article dans une revue hal-00084492v2
A Poisson formula for the Schrodinger operator Rémi Carles,Tohru Ozawa Journal of Fourier Analysis and Applications, 2008, 14 (3), pp.475-483. ⟨10.1007/s00041-008-9014-4⟩ Article dans une revue hal-00170775v1
Semiclassical Analysis for Hartree equation Rémi Carles,Satoshi Masaki Asymptotic Analysis, 2008, 58 (4), pp.211-227. ⟨10.3233/ASY-2008-0882⟩ Article dans une revue hal-00195618v1
On instability for the cubic nonlinear Schrodinger equation Rémi Carles Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 344 (8), pp.483-486. ⟨10.1016/j.crma.2007.03.006⟩ Article dans une revue hal-00127816v1
Geometric optics and instability for semi-classical Schrödinger equations Rémi Carles Archive for Rational Mechanics and Analysis, 2007, 183 (3), pp.525-553. ⟨10.1007/s00205-006-0017-5⟩ Article dans une revue hal-00004971v1
WKB analysis for nonlinear Schrödinger equations with potential Rémi Carles Comm. Math. Phys., 2007, 269 (1), pp.195-221. ⟨10.1007/s00220-006-0077-2⟩ Article dans une revue hal-00017778v2
Numerical aspects of nonlinear Schrodinger equations in the presence of caustics Rémi Carles,Laurent Gosse Mathematical Models and Methods in Applied Sciences, 2007, 17 (10), pp.1531-1553. ⟨10.1142/S0218202507002376⟩ Article dans une revue hal-00133478v1
Semi-classical limit of Schrodinger-Poisson equations in space dimension at least 3 Thomas Alazard,Rémi Carles Journal of Differential Equations, 2007, 233 (1), pp.241-275. ⟨10.1016/j.jde.2006.10.003⟩ Article dans une revue hal-00103896v1
On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case. Rémi Carles,Sahbi Keraani Transactions of the American Mathematical Society, 2007, 359 (1), pp.33-62 Article dans une revue hal-00001581v1
Cascade of phase shifts for nonlinear Schrödinger equations Rémi Carles J. Hyperbolic Differ. Equ., 2007, 4 (2), pp.207-231. ⟨10.1142/S0219891607001112⟩ Article dans une revue hal-00004970v1
(Semi)classical limit of the Hartree equation with harmonic potential Rémi Carles,Norbert J. Mauser,Hans Peter Stimming SIAM Journal on Applied Mathematics, 2005, 66 numéro 1, pp.2956 Article dans une revue hal-00128400v1
Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Rémi Carles Commun. Contemp. Math., 2005, 7, no. 4, pp. 483-508. ⟨10.1142/S0219199705001829⟩ Article dans une revue hal-00001612v1
Scattering theory for the Schrödinger equation with repulsive potential Jean-Francois Bony,Rémi Carles,Dietrich Haefner,Laurent Michel Journal de Mathématiques Pures et Appliquées, 2005, 84 (5), pp.509-579. ⟨10.1016/j.matpur.2004.10.007⟩ Article dans une revue hal-00004972v1
Global existence results for nonlinear Schrödinger equations with quadratic potentials Rémi Carles Discrete and Continuous Dynamical Systems - Series A, 2005, 13, pp.no. 2, 385-398 Article dans une revue hal-00001580v1
Semiclassical asymptotics for weakly nonlinear Bloch waves Rémi Carles,Peter A. Markowich,Christof Sparber Journal of Statistical Physics, 2004, 117 numéro 1-2, pp.343-375 Article dans une revue hal-00128337v1
Nonlinear Schrodinger equations with Stark potential Remi Carles,Yoshihisa Nakamura Hokkaido Mathematical Journal, 2004, 33 numéro 3, pp.719-729 Article dans une revue hal-00128397v1
Focusing of Spherical Nonlinear Pulses in ${\mathbb R}^{1+3}$, III. Sub and Supercritical cases Rémi Carles,Jeffrey Rauch Tohoku mathematical journal, 2004, 56, pp.no. 3, 393-410 Article dans une revue hal-00004968v1
Semiclassical nonlinear Schrödinger equations with potential and focusing initial data Rémi Carles,Luc Miller Osaka Journal of Mathematics, 2004, 41, pp.693-725 Article dans une revue hal-00004969v1
Semi-classical Schrodinger equations with harmonic potential and nonlinear perturbation Rémi Carles Annales I.H.P., Analyse non linéaire, 2003, 20, pp.no. 3, 501-542. ⟨10.1016/S0294-1449(02)00027-6⟩ Article dans une revue hal-00132804v1
Nonlinear Schrödinger equations with repulsive harmonic potential and applications Rémi Carles SIAM Journal on Mathematical Analysis, 2003, 35, pp.823-843. ⟨10.1137/S0036141002416936⟩ Article dans une revue hal-00004966v1
On the role of quadratic oscillations in nonlinear Schrödinger equations Rémi Carles,Clotilde Fermanian Kammerer,Isabelle Gallagher Journal of Functional Analysis, 2003, 203, pp.453-493. ⟨10.1016/S0022-1236(03)00212-X⟩ Article dans une revue hal-00004965v1
Remarks on nonlinear Schrödinger equations with harmonic potential Rémi Carles Annales Henri Poincaré, 2002, 3, pp.757-772. ⟨10.1007/S00023-002-8635-4⟩ Article dans une revue hal-00004963v1
Critical nonlinear Schrödinger equations with and without harmonic potential Rémi Carles Mathematical Models and Methods in Applied Sciences, 2002, 12, pp.1513-1523 Article dans une revue hal-00004964v1
Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations Rémi Carles Comm. Math. Phys., 2001, 220 (1), pp.41-67. ⟨10.1007/s002200100438⟩ Article dans une revue istex hal-00364279v1

Chapitre d'ouvrage (3)

Rigidity in generalized isothermal fluids Rémi Carles,Kleber Carrapatoso,Matthieu Hillairet Alberto Bressan; Marta Lewicka; Dehua Wang; Yuxi Zheng. Hyperbolic Problems:Theory, Numerics, Applications, Proceedings of the Seventeenth International Conference on Hyperbolic Problems, 10, AIMS, pp.136-144, 2020, AIMS Series on Applied Mathematics Chapitre d'ouvrage hal-03347618v1
Universal Dynamics for the Logarithmic Schrödinger Equations Rémi Carles Jean-Michel Coron; Tatsien Li; Wei-Min Wang. Series in Contemporary Applied Mathematics, 23, World Scientific, pp.177-212, 2019, Harmonic Analysis and Wave Equations, 978-981-120-836-2. ⟨10.1142/9789811208379_0004⟩ Chapitre d'ouvrage hal-03347609v1
On the semi-classical limit for the nonlinear Schrodinger equation Rémi Carles A. Farina and J.-C. Saut. Stationary and Time Dependent Gross-Pitaevskii Equations, Amer. Math. Soc., pp.105-127, 2008, Contemp. Math. 473 Chapitre d'ouvrage hal-00120859v1

HDR (1)

Oscillations, concentration et dispersion pour des équations d'ondes et de Schrödinger Rémi Carles Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2005 HDR tel-00009350v1

Thèse (1)

Études d’oscillations non linéaires près d’une caustique Rémi Carles Equations aux dérivées partielles [math.AP]. Université de Rennes 1, 1999. Français. ⟨NNT : 1999REN10045⟩ Thèse tel-02933740v1