The Euler equation in an exterior domain. Local existence and appearance of singularities (Q5949470)
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scientific article; zbMATH DE number 1675834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Euler equation in an exterior domain. Local existence and appearance of singularities |
scientific article; zbMATH DE number 1675834 |
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The Euler equation in an exterior domain. Local existence and appearance of singularities (English)
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20 March 2003
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For incompressible Euler equations in an exterior domain in \(\mathbb{R}^3\), the author establishes local in time solvability, and derives a criterion for a finite time blow-up of the solution. The proof uses estimates in weighted Sobolev spaces.
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criterion for finite time blow-up
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incompressible Euler equations
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exterior domain
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local in time solvability
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weighted Sobolev spaces
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