Rémi Carles

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Christof SparberUniversity of Illinois at ChicagoVerified email at uic.edu
Chunmei SuTsinghua UniversityVerified email at tsinghua.edu.cn
Thomas AlazardCNRS researcher and adjunct Professor at ENS Paris-SaclayVerified email at ens-paris-saclay.fr
isabelle gallagherUniversité Paris Cité et ENS ParisVerified email at math.ens.fr
Weizhu BaoDepartment of Mathematics, National University of SingaporeVerified email at nus.edu.sg
Tang QinglinSchool of Mathematics, Sichuan UniversityVerified email at scu.edu.cn
Peter MarkowichKAUSTVerified email at kaust.edu.sa
Thomas DuyckaertsMathématiques, université Paris 13Verified email at math.univ-paris13.fr
Christophe BesseToulouseVerified email at math.univ-toulouse.fr
Emmanuel MoulayCNRS researcher at XLIM, University of PoitiersVerified email at univ-poitiers.fr
Paolo AntonelliGran Sasso Science InstituteVerified email at gssi.it
Hichem HajaiejNew York University/ ShanghaiVerified email at nyu.edu
Jorge Drumond SilvaProfessor of Mathematics, Instituto Superior TécnicoVerified email at math.tecnico.ulisboa.pt
Gigliola StaffilaniVerified email at math.mit.edu
Benjamin LasorneUinversité de Montpellier - CNRSVerified email at umontpellier.fr
Divyang BhimaniAssistant Professor, IISER PuneVerified email at iiserpune.ac.in
Florian Mehatsprofesseur de Mathématiques, Université de Rennes 1Verified email at univ-rennes1.fr
Dmitry PelinovskyProfessor, McMaster UniversityVerified email at math.mcmaster.ca
David LannesCNRS researcher, IMB, Université de BordeauxVerified email at math.u-bordeaux.fr
Christian KleinProfessor für MathematikVerified email at u-bourgogne.fr

Rémi Carles

CNRS researcher

Verified email at math.cnrs.fr - Homepage

Analysis of PDEs Partial Differential Equations Numerical Analysis


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Remarks on nonlinear Schrödinger equations with harmonic potential R Carles Annales Henri Poincaré 3, 757-772, 2002	141	2002
Semi-classical analysis for nonlinear Schrödinger equations: WKB analysis, focal points, coherent states R Carles	134*	2021
Critical nonlinear Schrödinger equations with and without harmonic potential R Carles Mathematical Models and Methods in Applied Sciences 12 (10), 1513-1523, 2002	127	2002
On the role of quadratic oscillations in nonlinear Schrödinger equations II. The 𝐿²-critical case R Carles, S Keraani Transactions of the American Mathematical Society 359 (1), 33-62, 2007	118	2007
Madelung, gross–pitaevskii and korteweg R Carles, R Danchin, JC Saut Nonlinearity 25 (10), 2843, 2012	116	2012
Nonlinear Schrodinger equation with time dependent potential R Carles Communications in Mathematical Sciences 9 (4), 937-964, 2011	110	2011
Nonlinear Schrödinger equations with repulsive harmonic potential and applications R Carles SIAM Journal on Mathematical Analysis 35 (4), 823-843, 2003	109	2003
On the Gross–Pitaevskii equation for trapped dipolar quantum gases R Carles, PA Markowich, C Sparber Nonlinearity 21 (11), 2569, 2008	101	2008
Universal dynamics for the defocusing logarithmic Schrödinger equation R Carles, I Gallagher Duke Math. J. 167 (9), 1761-1801, 2018	93	2018
Loss of regularity for supercritical nonlinear Schrödinger equations T Alazard, R Carles Mathematische Annalen 343, 397-420, 2009	77	2009
Geometric optics and instability for semi-classical Schrödinger equations R Carles Archive for rational mechanics and analysis 183, 525-553, 2007	66	2007
Energy cascades for NLS on the torus R Carles, E Faou Discrete & Continuous Dynamical Systems 32 (6), 2063-2077, 2012	62	2012
Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space V Banica, R Carles, G Staffilani Geometric and Functional Analysis 18 (2), 367-399, 2008	62	2008
Scattering for nonlinear Schrödinger equation under partial harmonic confinement P Antonelli, R Carles, JD Silva Communications in Mathematical Physics 334 (1), 367-396, 2015	56	2015
Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation W Bao, R Carles, C Su, Q Tang SIAM Journal on Numerical Analysis 57 (2), 657-680, 2019	54	2019
WKB analysis for nonlinear Schrödinger equations with potential R Carles Communications in mathematical physics 269, 195-221, 2007	51	2007
Semiclassical asymptotics for weakly nonlinear Bloch waves R Carles, PA Markowich, C Sparber Journal of statistical physics 117, 343-375, 2004	50	2004
Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation V Banica, R Carles, T Duyckaerts Communications in Partial Differential Equations 36 (3), 487-531, 2010	49	2010
Global existence results for nonlinear Schrodinger equations with quadratic potentials R Carles Discrete & Continuous Dynamical Systems 13 (2), 385-398, 2005	48	2005
Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation R Carles Annales de l'IHP Analyse non linéaire 20 (3), 501-542, 2003	47	2003

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