Gevrey class regularity for the solutions of the Navier-Stokes equations
β Scribed by C Foias; R Temam
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 411 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
In this paper we "nd su$cient conditions, involving only the pressure, that ensure the regularity of weak solutions to the Navier}Stokes equations. Conditions involving only the pressure were previously obtained in [7,4]. Following a remark in this last reference we improve, in particular, Kaniel's
We construct a class of weak solutions to the NavierαStokes equations, which have second order spatial derivatives and one order time derivatives, of p power s Ε½ 2, r Ε½ .. summability for 1p F 5r4. Meanwhile, we show that u g L 0, T ; W β with 1rs q 3r2 r s 2 for 1r F 5r4. r can be relaxed not to ex