Rémi Carles

Directeur de recherche CNRS
120
Documents
Affiliation actuelle
  • Institut de Recherche Mathématique de Rennes (IRMAR)
Identifiants chercheurs
Contact

Domaines de recherche

Equations aux dérivées partielles [math.AP] Analyse numérique [math.NA]

Publications

Publications

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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
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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
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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
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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

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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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

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
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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

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 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

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
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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
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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
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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
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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
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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
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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