Space-time estimates in the Besov spaces and the Navier-Stokes equations (Q864418)
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scientific article; zbMATH DE number 5123520
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Space-time estimates in the Besov spaces and the Navier-Stokes equations |
scientific article; zbMATH DE number 5123520 |
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Space-time estimates in the Besov spaces and the Navier-Stokes equations (English)
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8 February 2007
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The authors prove the title estimates in \(\mathbb{R}^n\), \(n\geq 3\). These estimates allow the authors to sharpen a regularity criterion for weak solution and the blow-up criterion for smooth solutions of Navier-Stokes equations. Instead of the logarithmic Sobolev inequality, the authors use the frequency localization, the Littlewood-Paley trichotomy decomposition and some commutator estimates.
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