Rémi Carles

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Person:372915

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List of research outcomes

PublicationDate of PublicationType
Logarithmic Gross-Pitaevskii equation2024-02-23Paper
On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential2023-12-15Paper
Low regularity solutions to the logarithmic Schrodinger equation2023-11-03Paper
On an intercritical log-modified nonlinear Schrödinger equation in two spatial dimensions2023-09-21Paper
On nonlinear effects in multiphase WKB analysis for the nonlinear Schrodinger equation2023-09-07Paper
On stability of rotational 2D binary Bose-Einstein condensates2023-07-13Paper
On the Cauchy problem for the Hartree approximation in quantum dynamics2023-05-31Paper
On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations2023-05-25Paper
Pathological set with loss of regularity for nonlinear Schr{\"o}dinger equations2023-04-21Paper
Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential2023-04-18Paper
Logarithmic Schrödinger equation and isothermal fluids2023-03-17Paper
Separation of scales: dynamical approximations for composite quantum systems*2023-02-16Paper
Dynamical approximations for composite quantum systems: assessment of error estimates for a separable ansatz2022-11-16Paper
Constructive and destructive interferences in nonlinear hyperbolic equations2022-11-04Paper
Global weak solutions for quantum isothermal fluids2022-10-27Paper
Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential2022-06-08Paper
Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation2022-06-01Paper
Error estimates of local energy regularization for the logarithmic Schrödinger equation2022-04-07Paper
Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential2022-02-19Paper
Global dynamics below the ground states for NLS under partial harmonic confinement2021-12-08Paper
Logarithmic Schrödinger equation with quadratic potential*2021-11-19Paper
Scattering and uniform in time error estimates for splitting method in NLS2021-10-27Paper
Orbital stability vs. scattering in the cubic-quintic Schrödinger equation2021-10-14Paper
Logarithmic Schr{\"o}dinger equation and isothermal fluids2021-08-30Paper
https://portal.mardi4nfdi.de/entity/Q49642522021-02-25Paper
Large-time behavior of compressible polytropic fluids and nonlinear Schr{\"o}dinger equation2021-02-17Paper
Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity2021-01-14Paper
On soliton (in-)stability in multi-dimensional cubic-quintic nonlinear Schr\"odinger equations2020-12-21Paper
Semi-Classical Analysis for Nonlinear Schrödinger Equations2020-10-05Paper
WKB analysis of nonelliptic nonlinear Schrödinger equations2020-08-20Paper
A conservation law with spatially localized sublinear damping2020-01-16Paper
Universal Dynamics for the Logarithmic Schrödinger Equations2019-12-03Paper
Regularized numerical methods for the logarithmic Schrödinger equation2019-10-07Paper
Rigidity results in generalized isothermal fluids2019-08-30Paper
Turbulent effects through quasi-rectification2019-06-27Paper
Global dispersive estimates for defocusing nonlinear Schrodinger equations2019-05-20Paper
Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation2019-05-06Paper
Regularized numerical methods for the logarithmic Schrodinger equation2018-11-30Paper
Universal dynamics for the defocusing logarithmic Schrödinger equation2018-07-17Paper
Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces2018-04-13Paper
Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective2018-01-10Paper
Superexponential growth or decay in the heat equation with a logarithmic nonlinearity2018-01-09Paper
Replicator-mutator equations with quadratic fitness2017-11-08Paper
WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity2017-08-17Paper
On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity2017-05-12Paper
On the spin-1 Bose–Einstein condensates in the presence of Ioffe–Pritchard magnetic field2016-08-17Paper
On semi-classical limit of nonlinear quantum scattering2016-06-10Paper
Higher-order Schrödinger and Hartree–Fock equations2016-01-12Paper
Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement2015-11-06Paper
Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential2015-09-03Paper
Finite Time Extinction for Nonlinear Schrödinger Equation in 1D and 2D2015-06-22Paper
Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases2015-06-15Paper
Large time behavior in nonlinear Schrödinger equations with time dependent potential2015-04-22Paper
Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration2015-04-17Paper
Explicit solutions in evolutionary genetics and applications2015-03-27Paper
Scattering for nonlinear Schrödinger equation under partial harmonic confinement2015-03-02Paper
On Nonlinear Schrödinger-Type Equations with Nonlinear Damping2015-02-23Paper
https://portal.mardi4nfdi.de/entity/Q29397262015-01-22Paper
On the orbital stability of Gaussian solitary waves in the log-KdV equation2015-01-05Paper
https://portal.mardi4nfdi.de/entity/Q54946412014-07-28Paper
On the Cauchy problem for the Hartree type equation in the Wiener algebra2014-06-04Paper
An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit2014-04-22Paper
Splitting methods for the nonlocal Fowler equation2014-03-12Paper
On Fourier Time-Splitting Methods for Nonlinear Schrödinger Equations in the Semiclassical Limit2014-02-24Paper
Nonlinear Schrödinger equation with time dependent potential2014-01-21Paper
A nonlinear Landau-Zener formula2013-10-21Paper
Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime2013-07-04Paper
Nonlinear Schrödinger equation and frequency saturation2013-05-24Paper
A Nonlinear Adiabatic Theorem for Coherent States2013-04-02Paper
Geometric optics and instability for NLS and Davey-Stewartson models2012-11-29Paper
Interaction of coherent states for Hartree equations2012-11-05Paper
Higher order Schrödinger equations2012-10-26Paper
Madelung, Gross–Pitaevskii and Korteweg2012-10-26Paper
On Schrödinger equations with modified dispersion2012-09-07Paper
Nonlinear dynamics of semiclassical coherent states in periodic potentials2012-07-13Paper
SEMI-CLASSICAL WAVE PACKET DYNAMICS FOR HARTREE EQUATIONS2012-06-08Paper
Energy cascades for NLS on the torus2012-05-30Paper
Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials2012-05-11Paper
Finite Time Extinction by Nonlinear Damping for the Schrödinger Equation2011-12-14Paper
A nonlinear adiabatic theorem for coherent states2011-10-10Paper
Minimal Blow-Up Solutions to the Mass-Critical Inhomogeneous NLS Equation2011-03-30Paper
Multiphase Weakly Nonlinear Geometric Optics for Schrödinger Equations2011-02-28Paper
Nonlinear coherent states and Ehrenfest time for Schrödinger equation2011-02-14Paper
Supercritical geometric optics for nonlinear Schrödinger equations2009-11-30Paper
Rotating points for the conformal NLS scattering operator2009-09-29Paper
Analyticity of the scattering operator for semilinear dispersive equations2009-09-25Paper
On scattering for NLS: from Euclidean to hyperbolic space2009-08-12Paper
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity2009-07-01Paper
On the time evolution of Wigner measures for Schrödinger equations2009-03-20Paper
Semiclassical Analysis for Hartree equation2009-03-02Paper
Loss of regularity for supercritical nonlinear Schrödinger equations2009-02-09Paper
https://portal.mardi4nfdi.de/entity/Q55062912009-01-28Paper
On the Gross–Pitaevskii equation for trapped dipolar quantum gases2008-11-19Paper
Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space2008-08-18Paper
On the wave operator for the critical nonlinear Schrödinger equation2008-07-21Paper
Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: numerical evidence2008-07-21Paper
On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential2008-07-02Paper
A Poisson formula for the Schrödinger operator2008-06-17Paper
NUMERICAL ASPECTS OF NONLINEAR SCHRÖDINGER EQUATIONS IN THE PRESENCE OF CAUSTICS2008-05-14Paper
https://portal.mardi4nfdi.de/entity/Q54457122008-03-06Paper
CASCADE OF PHASE SHIFTS FOR NONLINEAR SCHRÖDINGER EQUATIONS2007-06-28Paper
On instability for the cubic nonlinear Schrödinger equation2007-06-04Paper
WKB analysis for nonlinear Schrödinger equations with potential2007-05-31Paper
Geometric optics and instability for semi-classical Schrödinger equations2007-03-28Paper
WKB analysis for the nonlinear Schrodinger equation and instability results2007-02-12Paper
Semi-classical limit of Schrödinger--Poisson equations in space dimension \(n\geqslant 3\)2007-02-12Paper
On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case2007-02-01Paper
Semiclassical asymptotics for weakly nonlinear Bloch waves2006-10-11Paper
LINEAR VS. NONLINEAR EFFECTS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL2005-11-21Paper
(Semi)Classical Limit of the Hartree Equation with Harmonic Potential2005-10-28Paper
Global existence results for nonlinear Schrödinger equations with quadratic potentials2005-10-18Paper
Scattering theory for the Schrödinger equation with repulsive potential2005-08-17Paper
Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic2005-04-15Paper
Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases2005-03-21Paper
Nonlinear Schrödinger equations with Stark potential2005-03-07Paper
Semiclassical nonlinear Schrödinger equations with potential and focusing initial data2005-02-18Paper
https://portal.mardi4nfdi.de/entity/Q48315352005-01-03Paper
https://portal.mardi4nfdi.de/entity/Q44713982004-07-28Paper
Scattering for the Schrödinger equation with a repulsive potential2004-06-15Paper
Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications2004-01-19Paper
On the role of quadratic oscillations in nonlinear Schrödinger equations.2003-11-17Paper
Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation2003-08-21Paper
Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation2003-06-09Paper
Remarks on nonlinear Schrödinger equations with harmonic potential2003-04-02Paper
CRITICAL NONLINEAR SCHRÖDINGER EQUATIONS WITH AND WITHOUT HARMONIC POTENTIAL2003-03-16Paper
Focusing at a point with caustic crossing for a class of nonlinear equations2003-01-14Paper
https://portal.mardi4nfdi.de/entity/Q45180042002-07-22Paper
Remarks on the nonlinear Schrödinger equation with harmonic potential2002-06-12Paper
Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations2002-05-21Paper
Remarques sur les mesures de Wigner2002-05-13Paper
Absorption d'impulsions non linéaires radiales focalisantes dans2002-03-21Paper
Diffusion d'impulsions non linéaires radiales focalisantes dans2002-02-19Paper
Focusing of spherical nonlinear pulses in ${\mathbb R}^{1+3}$2001-12-10Paper
Geometric optics with caustic crossing for some nonlinear Schrodinger equations2001-10-21Paper
https://portal.mardi4nfdi.de/entity/Q27307602001-07-29Paper
Comportements Précisés Près D'Une Caustique En Optique Géométrique Non Linéaire1999-02-02Paper

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