On the regularity of the Navier-Stokes equation in a thin periodic domain (Q872014)
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scientific article; zbMATH DE number 5137566
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regularity of the Navier-Stokes equation in a thin periodic domain |
scientific article; zbMATH DE number 5137566 |
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On the regularity of the Navier-Stokes equation in a thin periodic domain (English)
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27 March 2007
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The non-stationary Navier-Stokes equations for an incompressible fluid satisfying periodic boundary conditions in a thin domain are considered. It is proved that if the initial datum satisfies some condition, then there exists a unique global smooth solution, corresponding to this datum.
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Navier-Stokes equations
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weak solutions
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strong solutions
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regularity
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