On the solutions of a class of equations occurring in continuum mechanics, with application to the stokes paradox
β Scribed by I-Dee Chang; Robert Finn
- Publisher
- Springer
- Year
- 1961
- Tongue
- English
- Weight
- 562 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
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
In this paper, we establish a constant-type growth estimate in the Lipschitz norm of solutions to the 2D Navier-Stokes equations with fractional diffusion and a polynomial-type growth estimate of solutions to the 3D axisymmetric Navier-Stokes equations.