Large-time regularity of viscous surface waves (Q797364)
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scientific article; zbMATH DE number 3868841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Large-time regularity of viscous surface waves |
scientific article; zbMATH DE number 3868841 |
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Large-time regularity of viscous surface waves (English)
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1984
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The incompressible fluid which obeys Navier-Stokes equations is subject to surface tension on its upper boundary. It is shown that singularities cannot develop in flows of sufficiently small amplitudes. A unique solution exists for all times in a space defined by Sobolev norms provided the initial state is close to equilibrium.
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surface waves
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surface tension
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singularities
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unique solution
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Sobolev norms
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initial state is close to equilibrium
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