Abstract | ||
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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 |
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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 Fang | 1 | 0 | 0.34 |
Yaguang Wang | 2 | 29 | 6.70 |
Qin Zhao | 3 | 0 | 0.34 |