Vanishing viscosity of one-dimensional isentropic Navier-Stokes equations with density dependent viscous coefficient
Analysis of PDEs
2019-05-16 v1 Functional Analysis
Abstract
In this paper, we study the vanishing viscosity of the isentropic compressible Navier-Stokes equations with density dependent viscous coefficient in the presence of the shock wave. Given a shock wave to the corresponding Euler equations, we can construct a sequence of solutions to one-dimensional compressible isentropic Navier-Stokes equations which converge to the shock wave as the viscosity tends to zero. The proof is given by an elementary energy method.
Keywords
Cite
@article{arxiv.1905.06154,
title = {Vanishing viscosity of one-dimensional isentropic Navier-Stokes equations with density dependent viscous coefficient},
author = {Meiying Cui},
journal= {arXiv preprint arXiv:1905.06154},
year = {2019}
}