Title
On multi-dimensional linear stability of planar shock waves for Chaplygin gases
Abstract
This paper is concerned with linear stability of planar shock waves in two dimensional compressible isentropic Euler equations for Chaplygin gases. The main feature is that the characteristic fields are always linearly degenerate. By establishing energy estimates, especially high-order energy estimates, in terms of the nonhomogeneous terms and variable coefficients, we prove that planar shock waves are linearly stable.
Year
DOI
Venue
2020
10.1016/j.aml.2019.106085
Applied Mathematics Letters
Keywords
Field
DocType
Chaplygin gases,Planar shock waves,M-D linear stability
Compressibility,Isentropic process,Linear stability,Degenerate energy levels,Multi dimensional,Mathematical analysis,Planar,Shock wave,Euler equations,Mathematics
Journal
Volume
ISSN
Citations 
102
0893-9659
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Beixiang Fang100.34
Yaguang Wang2296.70
Qin Zhao300.34