Infinite energy solutions of the surface quasi-geostrophic equation (Q1959445)
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scientific article; zbMATH DE number 5796748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite energy solutions of the surface quasi-geostrophic equation |
scientific article; zbMATH DE number 5796748 |
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Infinite energy solutions of the surface quasi-geostrophic equation (English)
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7 October 2010
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The authors study the formation of singularities of a 1D nonlinear and non-local (surface quasi-geostrophic, SQG) equation, which is also a model for 3D vorticity Euler equations. One shows that this equation provides solutions of the surface quasi-geostrophic equation with infinite energy. The existence of self-similar solutions and the blow-up for classical solutions are also shown.
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Hilbert transform
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surface quasi-geostrophic equation
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blow-up
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3D vorticity Euler equations
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0.88897586
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