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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(10): 929-930

Lü Xian-qing. Stability of the Burgers Shock Wave[J]. Applied Mathematics and Mechanics, 1993, 14(10): 929-930.

Citation:

Lü Xian-qing. Stability of the Burgers Shock Wave[J]. Applied Mathematics and Mechanics, 1993, 14(10): 929-930.

Lü Xian-qing. Stability of the Burgers Shock Wave[J]. Applied Mathematics and Mechanics, 1993, 14(10): 929-930.

Citation:

Lü Xian-qing. Stability of the Burgers Shock Wave[J]. Applied Mathematics and Mechanics, 1993, 14(10): 929-930.

Stability of the Burgers Shock Wave

Lü Xian-qing

Shandong Education College, Ji'nan

Received Date: 1992-07-24
Publish Date: 1993-10-15

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

References

[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).

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