127 citations
- Université de RennesFR54 papers
- Centre National de la Recherche ScientifiqueFR17 papers
- Laboratoire de Mathématiques Blaise PascalFR8 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR5 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR5 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE4 papers
- Toronto Metropolitan UniversityCA4 papers
- Institut FourierFR3 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Institut National des Sciences Appliquées de RennesFR3 papers
- Unité de Mathématiques Pures et AppliquéesFR3 papers
13 papers · 2 filters
The Schrödinger-Poisson system on the sphere
Patrick Gérard, Florian Méhats
We study the Schrödinger-Poisson system on the unit sphere $\SS^2$ of $\RR^3$, modeling the quantum transport of charged particles confined on a sphere by an external potential. Ou…
1D quintic nonlinear Schrödinger equation with white noise dispersion
Arnaud Debussche, Yoshio Tsutsumi
In this article, we improve the Strichartz estimates obtained in [12] for the Schrödinger equation with white noise dispersion in one dimension. This allows us to prove global well…
On a Bernoulli problem with geometric constraints
Antoine Laurain, Yannick Privat
A Bernoulli free boundary problem with geometrical constraints is studied. The domain $\Om$ is constrained to lie in the half space determined by and its boundary to co…
Shape minimization of the dissipated energy in dyadic trees
Xavier Dubois De La Sablonière, Benjamin Mauroy, Yannick Privat
In this paper, we study the role of boundary conditions on the optimal shape of a dyadic tree in which flows a Newtonian fluid. Our optimization problem consists in finding the sha…
Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms
Shigeaki Koike, Olivier Ley
We are concerned with fully nonlinear possibly degenerate elliptic partial differential equations (PDEs) with superlinear terms with respect to . We prove several comparison pr…
High frequency behaviour of the Maxwell-Bloch model with relaxations: convergence to the Schrödinger-Boltzmann system
François Castella, Eric Dumas
We study the Maxwell-Bloch model, which describes the propagation of a laser through a material and the associated interaction between laser and matter (polarization of the atoms t…