Rémi Carles

Directeur de recherche CNRS

112

Documents

Affiliations actuelles

Identifiants chercheurs

remicarles
0000-0002-8866-587X
Google Scholar : https://scholar.google.fr/citations?user=2u9hq5gAAAAJ&hl=fr&oi=sra
IdRef : 12889704X

Contact

Site web

https://carles.perso.math.cnrs.fr/

Domaines de recherche

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

Publications

	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
	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
	Scattering and uniform in time error estimates for splitting method in NLS Rémi Carles , Chunmei Su Foundations of Computational Mathematics, inPress, ⟨10.1007/s10208-022-09600-9⟩ Article dans une revue hal-03403443v2
	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
	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 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 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
	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, ⟨10.1090/qam/1618⟩ Article dans une revue hal-03142668v2
	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
	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
	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
	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
	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
	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
	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
	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
	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 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
	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 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
	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
	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
	Sharp weights in the Cauchy problem for nonlinear Schrodinger equations with potential Rémi Carles Zeitschrift für Angewandte Mathematik und Physik, 2015, 66 (4), pp.2087-2094. ⟨10.1007/s00033-015-0501-6⟩ Article dans une revue hal-01066391v3
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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 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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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 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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	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
	(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
	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
	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
	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 J. Math., 2004, 41, pp.693-725 Article dans une revue hal-00004969v1
	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 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
	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 hal-00364279v1

	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

	On the Cauchy problem for logarithmic fractional Schrödinger equation Rémi Carles , Fangyuan Dong 2024 Pré-publication, Document de travail hal-04538854v1
	Dynamics near the origin of the long range scattering for the one-dimensional Schrödinger equation Rémi Carles 2024 Pré-publication, Document de travail hal-04452342v1
	Low regularity solutions to the logarithmic Schrodinger equation Rémi Carles , Masayuki Hayashi , Tohru Ozawa 2023 Pré-publication, Document de travail hal-04268646v2
	Pathological set with loss of regularity for nonlinear Schrödinger equations Rémi Carles , Louise Gassot 2023 Pré-publication, Document de travail hal-04075293v2
	On nonlinear effects in multiphase WKB analysis for the nonlinear Schrodinger equation Rémi Carles 2023 Pré-publication, Document de travail hal-04198416v4
	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

	Rigidity in generalized isothermal fluids Rémi Carles , Kleber Carrapatoso , Matthieu Hillairet Alberto Bressan; Marta Lewicka; Dehua Wang; Yuxi Zheng. AIMS Series on Applied Mathematics, 10, AIMS, 2020, Hyperbolic Problems:Theory, Numerics, Applications, Proceedings of the Seventeenth International Conference on Hyperbolic Problems 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

	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

Rémi Carles

Domaines de recherche

Publications

Logarithmic Gross-Pitaevskii equation

Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential

Scattering and uniform in time error estimates for splitting method in NLS

On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations

On the Cauchy problem for the Hartree approximation in quantum dynamics

On an intercritical log-modified nonlinear Schrodinger equation in two spatial dimensions

On stability of rotational 2D binary Bose-Einstein condensates

Dynamical approximations for composite quantum systems: assessment of error estimates for a separable ansatz

Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation

Constructive and destructive interferences in nonlinear hyperbolic equations

Error estimates of local energy regularization for the logarithmic Schrodinger equation

On ground states for the 2D Schrodinger equation with combined nonlinearities and harmonic potential

Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential

Logarithmic Schrödinger equation and isothermal fluids

Global weak solutions for quantum isothermal fluids

Separation of scales: Dynamical approximations for composite quantum systems

Logarithmic Schrödinger equation with quadratic potential

Orbital stability vs. scattering in the cubic-quintic Schrodinger equation

Global dynamics below the ground states for NLS under partial harmonic confinement

WKB analysis of non-elliptic nonlinear Schrodinger equations

Norm inflation for nonlinear Schrodinger equations in Fourier-Lebesgue and modulation spaces of negative regularity

A conservation law with spatially localized sublinear damping

Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation

Regularized numerical methods for the logarithmic Schrodinger equation

Universal dynamics for the defocusing logarithmic Schrodinger equation

Rigidity results in generalized isothermal fluids

Replicator-mutator equations with quadratic fitness

Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective

WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity

Norm-inflation for periodic NLS equations in negative Sobolev spaces

On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit II. Analytic regularity

Superexponential growth or decay in the heat equation with a logarithmic nonlinearity

On semi-classical limit of nonlinear quantum scattering

Scattering for nonlinear Schrodinger equation under partial harmonic confinement

Large time behavior in nonlinear Schrodinger equation with time dependent potential

Sharp weights in the Cauchy problem for nonlinear Schrodinger equations with potential

Finite time extinction for nonlinear Schrodinger equation in 1D and 2D

On nonlinear Schrodinger type equations with nonlinear damping

Scattering for the nonlinear Schrodinger equation with a general one-dimensional confinement

Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases

Higher order Schrodinger and Hartree-Fock equations

On the Cauchy problem for Hartree equation in the Wiener algebra

On the orbital stability of Gaussian solitary waves in the log-KdV equation

Explicit solutions for replicator-mutator equations: extinction vs. acceleration

Splitting methods for the nonlocal Fowler equation

An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit

On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit

A nonlinear Landau-Zener formula

Madelung, Gross-Pitaevskii and Korteweg

Nonlinear Schrodinger equation and frequency saturation

Nonlinear dynamics of semiclassical coherent states in periodic potentials

Interaction of coherent states for Hartree equations

Geometric optics and instability for NLS and Davey-Stewartson models

Higher order Schrödinger equations

Semiclassical wave packet dynamics in Schrodinger equations with periodic potentials

Energy cascades for NLS on $\T^d$

A Nonlinear Adiabatic Theorem for Coherent States

Finite time extinction by nonlinear damping for the Schrodinger equation

Nonlinear Schrodinger equation with time dependent potential

Semiclassical wave packet dynamics for Hartree equations

Nonlinear coherent states and Ehrenfest time for Schrodinger equation

On Schrodinger equations with modified dispersion

Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation

Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime

Multiphase weakly nonlinear geometric optics for Schrodinger equations

Rotating points for the conformal NLS scattering operator

WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity

Supercritical geometric optics for nonlinear Schrodinger equations

Loss of regularity for supercritical nonlinear Schrodinger equations

On the time evolution of Wigner measures for Schrodinger equations

Analyticity of the scattering operator for semilinear dispersive equations

On scattering for NLS: from Euclidean to hyperbolic space

On the wave operators for the critical nonlinear Schrodinger equation

Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space

On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Semiclassical Analysis for Hartree equation

A Poisson formula for the Schrodinger operator