Equivalence of the Euler equation with a variational problem (Q1970010)
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scientific article; zbMATH DE number 1417588
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalence of the Euler equation with a variational problem |
scientific article; zbMATH DE number 1417588 |
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Equivalence of the Euler equation with a variational problem (English)
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3 December 2000
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The author introduces a functional and shows that a stationary point of such a functional in a function space of divergence-free vector fields is just a solution of the Euler equation of fluid dynamics. This provides a foundation of the Euler equation from a variational principle.
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Euler equation
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variational principle
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divergence-free vector fields
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incompressible fluid
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Lagrange functional
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function space
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