Qualitative Analysis for the Solution of Kuramoto-Sivashinsky Equation

Jiang Chengshun; Gu Haiming

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Jiang Chengshun, Gu Haiming. Qualitative Analysis for the Solution of Kuramoto-Sivashinsky Equation[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1161-1167.

Citation:

Jiang Chengshun, Gu Haiming. Qualitative Analysis for the Solution of Kuramoto-Sivashinsky Equation[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1161-1167.

Citation:

Jiang Chengshun, Gu Haiming. Qualitative Analysis for the Solution of Kuramoto-Sivashinsky Equation[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1161-1167.

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Qualitative Analysis for the Solution of Kuramoto-Sivashinsky Equation

Jiang Chengshun¹,
Gu Haiming²

1.
Department of Applied Mathematics, University of Information Engineering, Zhengzhou 450002, P R China;
2.
Department of Mathematics, Shandong University, Jinan 250100, P R China

Received Date: 1998-03-27
Rev Recd Date: 1999-06-18
Publish Date: 1999-11-15

Abstract

Abstract

In this paper, two kinds of initial boundary value problems for Kuramoto-Sivashinsky equation are considered. Some prior estimates are derived by Galerkin methods. The existence, uniqueness and regularities of the generalized global solutions and the classical global solutions for the equation are proved. Morever, the asymptotic behavior of these solutions are considered under some conditions.
- Kuramoto-Sivashinsky equation,
- initial boundary value problems,
- generalized global solution,
- classical global solution,
- asymptotic behavior

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References(11)

References

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