127 citations
- Université de RennesFR56 papers
- Centre National de la Recherche ScientifiqueFR17 papers
- Laboratoire de Mathématiques Blaise PascalFR8 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Institut national de recherche en sciences et technologies du numériqueFR5 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 des Sciences Appliquées de RennesFR3 papers
- Unité de Mathématiques Pures et AppliquéesFR3 papers
4 papers · 2 filters
Long-time behavior in scalar conservation laws
Arnaud Debussche, Julien Vovelle
We consider the long-time behavior of the entropy solution of a first-order scalar conservation law on a Riemannian manifold. In the case of the Torus, we show that, under a weak p…
The KdV/KP-I limit of the Nonlinear Schrodinger equation
D. Chiron, F. Rousset
We justify rigorously the convergence of the amplitude of solutions of Nonlinear-Schrödinger type Equations with non zero limit at infinity to an asymptotic regime governed by the…
Uniqueness results for convex Hamilton-Jacobi equations under growth conditions on data
Francesca Da Lio, Olivier Ley
Unbounded stochastic control problems may lead to Hamilton-Jacobi-Bellman equations whose Hamiltonians are not always defined, especially when the diffusion term is unbounded with…
Weak Solutions for Dislocation Type Equations
Olivier Ley
We describe recent results obtained by G. Barles, P. Cardaliaguet, R. Monneau and the author recently. They are concerned with nonlocal Eikonal equations arising in the study of th…