A number of bounds upon the pressure are known to guarantee regularity of the solutions of the Navier-Stokes equations. Since the pressure is the potential whose source is the product of the velocity and its gradient, it is worth to consider bounds depending on the quotient of the pressure and some
Logarithmically improved regularity criteria for Navier–Stokes and related equations
✍ Scribed by Jishan Fan; Tohru Ozawa
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 98 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1140
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✦ Synopsis
Abstract
We use an interpolation inequality on Besov spaces to show some logarithmically improved regularity criteria for Navier–Stokes equations, the harmonic heat flow, the Landau–Lifshitz equations, and the Landau–Lifshitz–Maxwell system. Copyright © 2009 John Wiley & Sons, Ltd.
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