KdV equation in domains with moving boundaries (Q864709)
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scientific article; zbMATH DE number 5124084
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | KdV equation in domains with moving boundaries |
scientific article; zbMATH DE number 5124084 |
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KdV equation in domains with moving boundaries (English)
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12 February 2007
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The authors prove existence and uniqueness of global strong solutions to an initial-boundary value problem for the Korteweg--de Vries equation in a bounded domain with moving boundaries and nonhomogeneous boundary conditions. Moreover, exponential decay of small solutions in asymptotically cylindrical domains is shown.
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KdV equation
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global existence
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stability
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regularization
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Faedo-Galerkin method
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decay
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0.93982667
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0.91518843
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0.8926061
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0.8905209
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0.88960916
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