Regularity of solutions to the Navier-Stokes equations
✍ Scribed by N. A. Shananin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1996
- Tongue
- English
- Weight
- 260 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0001-4346
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📜 SIMILAR VOLUMES
We construct a class of weak solutions to the Navier᎐Stokes equations, which have second order spatial derivatives and one order time derivatives, of p power s Ž 2, r Ž .. summability for 1p F 5r4. Meanwhile, we show that u g L 0, T ; W ⍀ with 1rs q 3r2 r s 2 for 1r F 5r4. r can be relaxed not to ex
In this paper, we consider the regularity criterion of axisymmetric weak solutions to the Navier-Stokes equations in R 3 . Let u be an axisymmetric weak solution in R 3 × (0, T ), w = curl u, and w θ be the azimuthal component of w in the cylindrical coordinates. It is proved that u becomes a regula