The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory (Q5957842)
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scientific article; zbMATH DE number 1719157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory |
scientific article; zbMATH DE number 1719157 |
Statements
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory (English)
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17 October 2002
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Regularity globally in time of the three-dimensional viscous Camassa-Holmes (Navier-Stokes-\(\alpha\)) equations is proven. Estimates of the Hausdorff and fractal dimension of their global attractor are derived. It is shown that these equations can be regarded as a closure model for the Reynolds averaged Navier-Stokes equations.
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regularity theory
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Camasso-Holmes equation
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global attractor
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Hausdorff and fractal dimension
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