241 citations
- Université de RennesFR519 papers
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- Université Rennes 1FR189 papers
- Institut national de recherche en sciences et technologies du numériqueFR81 papers
- École Normale Supérieure de RennesFR38 papers
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- Laboratoire de Mathématiques Jean LerayFR25 papers
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23 papers · 2 filters
On soliton (in-)stability in multi-dimensional cubic-quintic nonlinear Schrödinger equations
R. Carles, C. Klein, C. Sparber
We consider the nonlinear Schrödinger equation with a focusing cubic term and a defocusing quintic nonlinearity in dimensions two and three. The core of this article is the notion…
Separation of scales: Dynamical approximations for composite quantum systems
Irene Burghardt, Rémi Carles, Clotilde Fermanian Kammerer +2
We consider composite quantum-dynamical systems that can be partitioned into weakly interacting subsystems, similar to system-bath type situations. Using a factorized wave function…
Trace Hardy inequality for the Euclidean space with a cut and its applications
Monique Dauge, Michal Jex, Vladimir Lotoreichik
We obtain a trace Hardy inequality for the Euclidean space with a bounded cut , . In this novel geometric setting, the Hardy-type inequality non-typic…
Global dissipative solutions of the defocusing isothermal Euler-Langevin-Korteweg equation
Quentin Chauleur
We construct global dissipative solutions on the torus of dimension at most three of the defocusing isothermal Euler-Langevin-Korteweg system, which corresponds to the Euler-Kortew…
First order Mean Field Games in the Heisenberg group: periodic and non periodic case
Paola Mannucci, Claudio Marchi, Nicoletta Tchou
In this paper we study evolutive first order Mean Field Games in the Heisenberg group~$\He^1$; each agent can move only along "horizontal" trajectories which are given in terms of…
On stability of rotational 2D binary Bose-Einstein condensates
Rémi Carles, Van Duong Dinh, Hichem Hajaiej
We consider a two-dimensional nonlinear Schr{ö}dinger equation proposed in Physics to model rotational binary Bose-Einstein condensates. The nonlinearity is a logarithmic modificat…