A coupled system of Korteweg-de Vries equations as singular limit of the Kuramoto-Sivashinsky equations (Q944178)
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scientific article; zbMATH DE number 5343697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A coupled system of Korteweg-de Vries equations as singular limit of the Kuramoto-Sivashinsky equations |
scientific article; zbMATH DE number 5343697 |
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A coupled system of Korteweg-de Vries equations as singular limit of the Kuramoto-Sivashinsky equations (English)
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12 September 2008
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The authors study a coupled system of generalized Kuramoto-Sivashinsky equations on a bounded interval. The equations and the boudnary conditions depend on an additional parameter \(\nu\) such that in the limit \(\nu \to 0\) the system reduces to a coupled system of the Korteweg-de Vries equations. The existence and uniqueness theorems for strong solutions of these systems are proved by using the Faedo-Galerkin method.
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Kuramoto-Sivashinsky equation
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Korteweg-de Vries equation
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Faedo-Galerkin method
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0.9215995
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0.9191993
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0.91585565
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0.9116764
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0.9036977
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0.9031626
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