On the regularity conditions for the Navier-Stokes and related equations (Q997822)
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scientific article; zbMATH DE number 5177717
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regularity conditions for the Navier-Stokes and related equations |
scientific article; zbMATH DE number 5177717 |
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On the regularity conditions for the Navier-Stokes and related equations (English)
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7 August 2007
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The authors derive regularity conditions for the solutions of generalized Navier-Stokes equations with fractional powers \(\alpha\) of the Laplacian, in the case \(0< \alpha \leq 2\). It is shown that the regularity assumption of the direction field of the vorticity compensates with the integrability condition for the magnitude of vorticity.
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generalized Navier-Stokes equations
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fractional powers of the Laplacian
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