116 citations
- Centre National de la Recherche ScientifiqueFR70 papers
- Université Grenoble AlpesFR68 papers
- Université Joseph FourierFR37 papers
- Université Pierre Mendès FranceFR13 papers
- Laboratoire de Mathématiques d'OrsayFR11 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR9 papers
- Laboratoire de Mathématiques Jean LerayFR8 papers
- Institut Camille JordanFR6 papers
- Institut de Mathématiques de BordeauxFR6 papers
- Institut de PhysiqueFR6 papers
- Institut de recherche mathématique de RennesFR5 papers
- Laboratoire de Mathématiques Blaise PascalFR5 papers
5 papers · 2 filters
Orbital stability in the cubic defocusing NLS equation: II. The black soliton
Thierry Gallay, Dmitry Pelinovsky
Combining the usual energy functional with a higher-order conserved quantity originating from integrability theory, we show that the black soliton is a local minimizer of a quantit…
Infinite energy solutions of the two-dimensional Navier-Stokes equations
Thierry Gallay
These notes are based on a series of lectures delivered by the author at the University of Toulouse in February 2014. They are entirely devoted to the initial value problem and the…
Stability in exponential time of Minkowski Space-time with a translation space-like Killing field
Cécile Huneau
In this paper, we prove the nonlinear stability in exponential time of Minkowki space-time with a translation space-like Killing field. In the presence of such a symmetry, the 3 +…
A uniqueness criterion for unbounded solutions to the Vlasov-Poisson system
Evelyne Miot
We prove uniqueness for the Vlasov-Poisson system in two and three dimensions under the condition that the norms of the macroscopic density growth at most linearly with respe…
Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric
Vladimir Georgescu, Christian Gérard, Dietrich Häfner
We show asymptotic completeness for a class of superradiant Klein-Gordon equations. Our results are applied to the Klein-Gordon equation on the De Sitter Kerr metric with small ang…