Stability of the planar rarefaction wave to two-dimensional compressible Navier-Stokes equations
Analysis of PDEs
2019-02-01 v2 Mathematical Physics
math.MP
Abstract
It is well-known that the rarefaction wave, one of the basic wave patterns to the hyperbolic conservation laws, is nonlinearly stable to the one-dimensional compressible Navier-Stokes equations (cf. [14,15,12,17]). In the present paper we proved the time-asymptotically nonlinear stability of the planar rarefaction wave to the two-dimensional compressible and isentropic Navier-Stokes equations, which gives the first stability result of the planar rarefaction wave to the multi-dimensional system with physical viscosities.
Keywords
Cite
@article{arxiv.1710.06063,
title = {Stability of the planar rarefaction wave to two-dimensional compressible Navier-Stokes equations},
author = {Lin-an Li and Yi Wang},
journal= {arXiv preprint arXiv:1710.06063},
year = {2019}
}
Comments
24 pages, published on SIAM J. Math. Anal