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 |
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Keywords
- asymptotic stability
- Cauchy problem
- compressible viscous gas
- travelling wave solutions
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
Cite this
On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. / Matsumura, Akitaka; Nishihara, Kenji.
In: Japan Journal of Applied Mathematics, Vol. 2, No. 1, 06.1985, p. 17-25.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
AU - Matsumura, Akitaka
AU - Nishihara, Kenji
PY - 1985/6
Y1 - 1985/6
N2 - 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.
AB - 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.
KW - asymptotic stability
KW - Cauchy problem
KW - compressible viscous gas
KW - travelling wave solutions
UR - http://www.scopus.com/inward/record.url?scp=0001923997&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001923997&partnerID=8YFLogxK
U2 - 10.1007/BF03167036
DO - 10.1007/BF03167036
M3 - Article
AN - SCOPUS:0001923997
VL - 2
SP - 17
EP - 25
JO - Japan Journal of Industrial and Applied Mathematics
JF - Japan Journal of Industrial and Applied Mathematics
SN - 0916-7005
IS - 1
ER -