Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori (Q689916)
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scientific article; zbMATH DE number 446768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori |
scientific article; zbMATH DE number 446768 |
Statements
Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori (English)
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13 March 1994
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We consider Kolmogorov's problem of viscous incompressible fluid motions on two-dimensional tori. The problem is a bifurcation problem with two parameters, the Reynolds number and the aspect ratio. Varying the aspect ratio as a splitting parameter, we compute numerically bifurcation diagrams with the Reynolds number as a bifurcation parameter. Furthermore, Hopf bifurcation points are also found when the aspect ratio of the torus satisfies a certain condition.
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exchange of stability
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inviscid limit
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Reynolds number
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aspect ratio
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Hopf bifurcation
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