Name
Abstract | ||
|---|---|---|
We continue to study the large time behavior of the solution to a gas-solid free boundary problem for a one-dimensional model system of compressible viscous gas proposed by us in [SIAM J. Math. Anal., 34 (2003), pp. 1331-1355], where the travelling wave and the rarefaction wave were investigated. In this paper we prove the asymptotic stability of the superposition of a travelling wave and a viscous shock wave under some smallness conditions. The asymptotic behavior of the free boundary is also obtained. The proof is given by the elementary energy estimate. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1137/S003614100240943X | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
viscous shock wave,gas-solid free boundary,compressible gas | Compressibility,Superposition principle,Viscous liquid,Mathematical analysis,Free boundary problem,Exponential stability,Shock wave,Asymptotic analysis,Mathematics,Rarefaction | Journal |
Volume | Issue | ISSN |
36 | 2 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Feimin Huang | 1 | 11 | 7.68 |
| Akitaka Matsumura | 2 | 0 | 0.34 |
| Xiaoding Shi | 3 | 1 | 1.05 |