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3. Qualitative analysis for the solution of Kuramoto-Sivashinsky equation

Author

Gu Haiming and Jiang Chengshun

Subjects
Qualitative analysis, Partial differential equation, Mechanics of Materials, Applied Mathematics, Mechanical Engineering, Mathematical analysis, Kuramoto–Sivashinsky equation, Boundary value problem, Uniqueness, Galerkin method, Mathematics
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.

Published
1999

5. Qualitative analysis for the solution of Kuramoto-Sivashinsky equation.

Author

Jiang Chengshun and Gu Haiming

Subjects
*QUALITATIVE chemical analysis, *BOUNDARY value problems, *GLOBAL analysis (Mathematics), *EQUATIONS, *GALERKIN methods
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. [ABSTRACT FROM AUTHOR]

Published
1999
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