11 citations · 14 across the 5 of their papers we have counts for
7 papers · 1 filter
Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations
Kyudong Choi, Alexis F. Vasseur
We study weak solutions of the 3D Navier-Stokes equations in whole space with initial data. It will be proved that is locally integrable in space-time for any re…
Rigorous derivation of the Kinetic/Fluid coupling involving a Kinetic layer on a toy problem
Alexis F. Vasseur
In this article, we investigate the kinetic/fluid coupling on a toy model. We obtain it rigorously from a hydrodynamical limit. The idea is that at the level of the full kinetic mo…
Global regularity of solutions to systems of reaction-diffusion with Sub-Quadratic Growth in any dimension
M. Cristina Caputo, Alexis Vasseur
This paper is devoted to the study of the regularity of solutions to some systems of reaction--diffusion equations, with reaction terms having a subquadratic growth. We show the gl…
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations
Chi Hin Chan, Alexis Vasseur
This article is devoted to a Log improvement of Prodi-Serrin criterion for global regularity to solutions to Navier-Stokes equations in dimension 3. It is shown that the global reg…
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity
Alexis Vasseur
In this short note, we give a link between the regularity of the solution to the 3D Navier-Stokes equation, and the behavior of the direction of the velocity . It is sho…
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
L. Caffarelli, A. Vasseur
Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diffusion equations with L^2 initial data and minimal assumptions on the drift are locally Hol…