Well-posedness and analyticity of solutions to a water wave problem with viscosity (Q1669802)
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scientific article; zbMATH DE number 6931733
| Language | Label | Description | Also known as |
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| English | Well-posedness and analyticity of solutions to a water wave problem with viscosity |
scientific article; zbMATH DE number 6931733 |
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Well-posedness and analyticity of solutions to a water wave problem with viscosity (English)
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4 September 2018
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This paper deals with a system of equations governing the motion of 2D periodic gravity capillary waves on a liquid of certain depth. The well posedness of the potential flow with dissipation is studied; indeed, for certain initial data, it is argued that unique solutions exist globally in time and decay exponentially fast to zero.
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water wave problem
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viscous surface water waves
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existence and uniqueness of solutions
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analytic dependence
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