Classical solutions for the 3D quasi-geostrophic system on a bounded domain (Q2116260)
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scientific article; zbMATH DE number 7491099
| Language | Label | Description | Also known as |
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| English | Classical solutions for the 3D quasi-geostrophic system on a bounded domain |
scientific article; zbMATH DE number 7491099 |
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Classical solutions for the 3D quasi-geostrophic system on a bounded domain (English)
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16 March 2022
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Inviscid quasigeostrophic flow, which is the asymptotic limit of 3D Euler equations as the Rossby number tends to \(0\), is considered on bounded cylindrical domains of the form \(\Omega\times[0,h]\times[0,T]\). After a reduction to an elliptic problem with nonstandard boundary condition, the existence of classical solutions is proved for suitable data.
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quasigeostrophic system
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cylindrical domain
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classical solution
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