204 citations · 802 across the 58 of their papers we have counts for
6 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…
Asymptotic analysis of Vlasov-type equations under strong local alignment regime
Moon-Jin Kang, Alexis F. Vasseur
We consider the hydrodynamic limit of a collisionless and non-diffusive kinetic equation under strong local alignment regime. The local alignment is first considered by Karper, Mel…
Stability of the isentropic Riemann solutions of the full multidimensional Euler system
Eduard Feireisl, Ondřej Kreml, Alexis Vasseur
We consider the complete Euler system describing the time evolution of an inviscid non-isothermal gas. We show that the rarefaction wave solutions of the 1D Riemann problem are sta…
De Giorgi Techniques Applied to The Holder Regularity of Solutions to Hamilton-Jacobi Equations
Chi Hin Chan, Alexis F. Vasseur
This article is dedicated to the proof of C^α regularization effects of Hamilton- Jacobi equations. The proof is based on the De Giorgi method. The regularization is independent on…
A bound from below on the temperature for the Navier-Stokes-Fourier system
Eric Baer, Alexis Vasseur
We give a uniform bound from below on the temperature for a variant of the compressible Navier-Stokes-Fourier system, under suitable hypotheses. This system of equations forms a ma…
-contraction for shock waves of scalar viscous conservation laws
Moon-Jin Kang, Alexis F. Vasseur
We consider the -contraction up to a shift for viscous shocks of scalar viscous conservation laws with strictly convex fluxes in one space dimension. In the case of a flux whi…