On weak-strong uniqueness for compressible Navier-Stokes system with general pressure laws
Analysis of PDEs
2019-07-17 v1
Abstract
The goal of the present paper is to study the weak--strong uniqueness problem for the compressible Navier--Stokes system with a general barotropic pressure law. Our results include the case of a hard sphere pressure of Van der Waals type with a non--monotone perturbation and a Lipschitz perturbation of a monotone pressure. Although the main tool is the relative energy inequality, the results are conditioned by the presence of viscosity and do not seem extendable to the Euler system.
Keywords
Cite
@article{arxiv.1811.08957,
title = {On weak-strong uniqueness for compressible Navier-Stokes system with general pressure laws},
author = {Nilasis Chaudhuri},
journal= {arXiv preprint arXiv:1811.08957},
year = {2019}
}