On the strong solutions of the primitive equations in 2D domains (Q1612597)
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scientific article; zbMATH DE number 1788032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the strong solutions of the primitive equations in 2D domains |
scientific article; zbMATH DE number 1788032 |
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On the strong solutions of the primitive equations in 2D domains (English)
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25 August 2002
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The authors consider the initial-boundary value problem for the primitive equations in a two-dimensional domain. Their main results concern the existence of strong solutions (a) globally in time for small data, (b) locally in time for arbitrary data. Furthermore they prove that a weak solution is unique provided that there exists another weak solution satisfying an additional regularity hypothesis.
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Navier-Stokes equations
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hydrostatic pressure
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mixed boundary conditions
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local and global existence
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uniqueness
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asymptotic behaviour
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