On the regularizing effect of the vorticity direction in incompressible viscous flows (Q1847671)
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scientific article; zbMATH DE number 1836175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regularizing effect of the vorticity direction in incompressible viscous flows |
scientific article; zbMATH DE number 1836175 |
Statements
On the regularizing effect of the vorticity direction in incompressible viscous flows (English)
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8 July 2003
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The paper deals with the global existence in time of strong solutions to the 3D Navier-Stokes equations. When the direction of the vorticity belongs to some suitable Sobolev spaces, then supposing the existence of a weak solution, the existence of a unique smooth solution of the Cauchy problem for the Navier-Stokes equations is proved.
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3D Navier-Stokes equations
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vorticity direction
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incompressible viscous flows
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