Burgers激波解的稳定性

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Stability of the Burgers Shock Wave

摘要: 本文探讨了在无究小扰动下Burgers激波解的稳定性,证明Burgers方程激波解在李亚普诺夫意义下是渐近稳定的.
- Burgers激波解 /
- 无穷小扰动 /
- 稳定 /
- 渐近稳定
Abstract: This paper considers the stability of the Burgers shock wave solution with respect to infinitesimal disturbance. It is found that the Burgers shock wave is asymptotically stable in the Liapunov sense.
- Burgers shock wave /
- infinitesimal disturbance /
- stability /
- asymptotically stable

[1]	Jeffrey,Alan and Tsunehiko Kakutani,Stability of the Burgers shock wave and theKorteweg-de Vries solution,Indiana University Mathematics.20.5(1970),463-468.
[2]	Jeffrey,A.and T.Kawahara,Asymptotic Methods in Nonlinear Wave Theory.Pitman,London(1982).