On a theorem by Sohr for the Navier-Stokes equations (Q1880371)
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scientific article; zbMATH DE number 2103744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a theorem by Sohr for the Navier-Stokes equations |
scientific article; zbMATH DE number 2103744 |
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On a theorem by Sohr for the Navier-Stokes equations (English)
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27 September 2004
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The authors study some criteria for the full (space-time) regularity of weak solutions to the Navier-Stokes equations. In particular, some classical and very recent criteria involving the velocity, or its derivates are generalized. More spoecifically, it is shown with elementary tools that if a weak solution, or its vorticity, is small in appropriate Marcinkiewicz spaces, then it is regular.
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full space-time regularity
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Marcinkiewicz spaces
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