97 citations
- École PolytechniqueFR49 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR9 papers
- Université Paris CitéFR3 papers
- Université Paris NanterreFR3 papers
- Analyse, Géométrie et ModélisationFR2 papers
- CY Cergy Paris UniversitéFR2 papers
- Département de mathématiques et applicationsFR2 papers
- Institut de recherche mathématique de RennesFR2 papers
- Institut Montpelliérain Alexander GrothendieckFR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
- Scuola Normale SuperioreIT2 papers
4 papers · 2 filters
Semiclassical limit for mixed states with singular and rough potentials
Alessio Figalli, Marilena Ligabo, Thierry Paul
We consider the semiclassical limit for the Heisenberg-von Neumann equation with a potential which consists of the sum of a repulsive Coulomb potential, plus a Lipschitz potential…
On the propagation of oceanic waves driven by a strong macroscopic flow
Isabelle Gallagher, Thierry Paul, Laure Saint-Raymond
In this work we study oceanic waves in a shallow water flow subject to strong wind forcing and rotation, and linearized around a inhomogeneous (non zonal) stationary profile. This…
Dispersion and controllability for the Schrödinger equation on negatively curved manifolds
Nalini Anantharaman, Gabriel Riviere
We study the time-dependent Schrödinger equation on a compact riemannian manifold on which the geodesic flow has the Anosov property.…
Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data
Luigi Ambrosio, Alessio Figalli, Gero Friesecke +2
In this paper we study the semiclassical limit of the Schrödinger equation. Under mild regularity assumptions on the potential which include Born-Oppenheimer potential energy s…