324 citations
- Centre National de la Recherche ScientifiqueFR410 papers
- Université Côte d'AzurFR332 papers
- Université Nice Sophia AntipolisFR217 papers
- Institut national de recherche en sciences et technologies du numériqueFR41 papers
- Institut de Biologie ValroseFR38 papers
- Sorbonne UniversitéFR26 papers
- Université Savoie Mont BlancFR24 papers
- École PolytechniqueFR22 papers
- Institut Universitaire de FranceFR22 papers
- Le LAMAFR21 papers
- Laboratoire de Mathématiques Blaise PascalFR20 papers
- Laboratoire de Mathématiques d'OrsayFR18 papers
7 papers · 2 filters
Global weak solutions to the inviscid 3D Quasi-Geostrophic equation
Marjolaine Puel, Alexis F. Vasseur
In this article, the authors prove the existence of global weak solutions to the inviscid three-dimensional quasi-geostrophic equation. This equation models the evolution of the te…
Analytical and numerical investigation of traveling waves for the Allen-Cahn model with relaxation
Corrado Lattanzio, Corrado Mascia, Ramon G. Plaza +1
A modification of the parabolic Allen-Cahn equation, determined by the substitution of Fick's diffusion law with a relaxation relation of Cattaneo-Maxwell type, is considered. The…
Type II blow up manifolds for the energy supercritical wave equation
Charles Collot
We consider the non linear focusing wave equation in large dimensions and for radially symmetric data, in the energy supercritical zone for p large…
Blow-up of critical Besov norms at a potential Navier-Stokes singularity
Isabelle Gallagher, Gabriel S. Koch, Fabrice Planchon
We prove that if an initial datum to the incompressible Navier-Stokes equations in any critical Besov space , with , gives…
Tunnel effect for semiclassical random walk
J. -F. Bony, F. Hérau, L. Michel
We study a semiclassical random walk with respect to a probability measure with a finite number n_0 of wells. We show that the associated operator has exactly n_0 exponentially clo…
Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold
Frédéric Robert, Jérôme Vétois
We construct blowing-up sign-changing solutions to some nonlinear critical equations by glueing a standard bubble to a degenerate function. We develop a method based on analyticity…