204 citations · 802 across the 58 of their papers we have counts for
6 papers · 1 filter
Weak in Space, Log in Time Improvement of the Lady{ž}enskaja-Prodi-Serrin Criteria
Clayton Bjorland, Alexis Vasseur
In this article we present a Lady{ž}enskaja-Prodi-Serrin Criteria for regularity of solutions for the Navier-Stokes equation in three dimensions which incorporates weak norms…
A Discontinuous Galerkin Method for Viscous Compressible Multifluids
C. Michoski, J. A. Evans, P. G. Schmitz +1
We present a generalized discontinuous Galerkin method for a multicomponent compressible barotropic Navier-Stokes system of equations. The system presented has a functional viscosi…
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…
Quantum Hydrodynamics with Trajectories: The Nonlinear Conservation Form Mixed/Discontinuous Galerkin Method with Applications in Chemistry
C. Michoski, J. A. Evans, P. G. Schmitz +1
We present a solution to the conservation form (Eulerian form) of the quantum hydrodynamic equations which arise in chemical dynamics by implementing a mixed/discontinuous Galerkin…
Higher derivatives estimate for the 3D Navier-Stokes equation
Alexis F Vasseur
In this article, a non linear family of spaces, based on the energy dissipation, is introduced. This family bridges an energy space (containing weak solutions to Navier-Stokes equa…
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…