Abstract
Travelling wave solutions with shock profile for a one-dimensional model system associated with compressible viscous gas are investigated in terms of asymptotic stability. The travelling wave solution is proved to be asymptotically stable, provided the initial disturbance is suitably small and of zero constant component. The proof is given by the elemental L2 energy method.
| Original language | English |
|---|---|
| Pages (from-to) | 17-25 |
| Number of pages | 9 |
| Journal | Japan Journal of Applied Mathematics |
| Volume | 2 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1985 Jun |
| Externally published | Yes |
Keywords
- asymptotic stability
- Cauchy problem
- compressible viscous gas
- travelling wave solutions
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
Fingerprint Dive into the research topics of 'On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas'. Together they form a unique fingerprint.
Cite this
Matsumura, A., & Nishihara, K. (1985). On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. Japan Journal of Applied Mathematics, 2(1), 17-25. https://doi.org/10.1007/BF03167036