The primitive equations on the large scale ocean under the small depth hypothesis. (Q1865947)
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scientific article; zbMATH DE number 1890729
| Language | Label | Description | Also known as |
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| English | The primitive equations on the large scale ocean under the small depth hypothesis. |
scientific article; zbMATH DE number 1890729 |
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The primitive equations on the large scale ocean under the small depth hypothesis. (English)
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15 July 2003
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The authors establish the global existence of strong solutions of primitive equations for the large-scale ocean with small depth, which allows to introduce a small parameter (thickness parameter for a thin domain). The existence is proved for a large class of initial data and boundary conditions acting as external forcing. The proof is based on a detailed study of the dependence of a number of classical constants on the thickness of the domain, on a priori energy estimates, and on some functional inequalities.
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small parameter
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thin domain
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existence
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a priori energy estimates
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