204 citations · 802 across the 58 of their papers we have counts for
62 papers
Uniqueness and stability of entropy waves among vanishing dissipation limits from the Navier--Stokes--Fourier System
Cooper Faile, Ingrid Lacroix-Violet, Alexis F. Vasseur
In this paper, we establish the stability of general entropy wave solutions of the compressible Euler equations (that is, profiles with constant velocity and pressure) in the class…
Time-asymptotic stability of generic Riemann solutions for compressible Navier-Stokes-Fourier equations
Moon-Jin Kang, Alexis Vasseur, Yi Wang
We establish the time-asymptotic stability of solutions to the one-dimensional compressible Navier-Stokes-Fourier equations, with initial data perturbed from Riemann data that form…
Layer separation of the 3D incompressible Navier-Stokes equation in a bounded domain
Alexis F. Vasseur, Jincheng Yang
We provide an unconditional upper bound for the boundary layer separation of Leray-Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy bet…
Local regularity for the space-homogeneous Landau equation with very soft potentials
François Golse, Cyril Imbert, Sehyun Ji +1
This paper deals with the space-homogenous Landau equation with very soft potentials, including the Coulomb case. This nonlinear equation is of parabolic type with diffusion matrix…
Boundary Vorticity Estimates for Navier-Stokes and Application to the Inviscid Limit
Alexis F. Vasseur, Jincheng Yang
Consider the steady solution to the incompressible Euler equation in the periodic tunnel in dimension . Consider now the family…
Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations
Moon-Jin Kang, Alexis F. Vasseur, Yi Wang
We prove the time-asymptotic stability of composite waves consisting of the superposition of a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navie…