Diffusive processes on the groups of diffeomorphisms and the viscous fluid (Q2762988)
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scientific article; zbMATH DE number 1689833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffusive processes on the groups of diffeomorphisms and the viscous fluid |
scientific article; zbMATH DE number 1689833 |
Statements
22 January 2002
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stochastic differential equations
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viscous fluid hydrodynamics
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Gilbert manifold of diffeomorphisms
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\(n\)-dimensional torus
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Diffusive processes on the groups of diffeomorphisms and the viscous fluid (English)
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Two approaches to the description of the viscous fluid hydrodynamics based on the usage of stochastic differential equations on the Gilbert manifold of diffeomorphisms are presented. For the sake of simplicity fluid dynamics is considered on the \(n\)-dimensional torus.
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