Exponential stabilization of periodic solutions of a system of KdV equations (Q1018210)
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scientific article; zbMATH DE number 5554819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponential stabilization of periodic solutions of a system of KdV equations |
scientific article; zbMATH DE number 5554819 |
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Exponential stabilization of periodic solutions of a system of KdV equations (English)
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19 May 2009
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Summary: We consider a coupled nonlinear dispersive system of Korteweg-de Vries type in the presence of a dissipative mechanism. First we prove that the Cauchy problem is globally well posed in a suitable periodic Sobolev space and our main result says that the \(L^{2}\) and \(L^{\infty }\) norms of the solutions decay exponentially fast as \(t \rightarrow + \infty \).
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KdV system
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global existence
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exponential decay
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