## Abstract We establish the moment estimates for a class of global weak solutions to the Navier–Stokes equations in the half‐space. Copyright © 2009 John Wiley & Sons, Ltd.
Some a priori estimates for weak solutions of the 3-D Navier-Stokes equations
✍ Scribed by Dongho Chae
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 352 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Communicated by M. Costabel In this work, we improved the regularity criterion on the Cauchy problem for the Navier-Stokes equations in multiplier space in terms of the two partial derivatives of velocity fields, @ 1 u 1 and @ 2 u 2 .
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.
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
## Abstract In this paper we derive a decay rate of the __L__^2^‐norm of the solution to the 3‐D Navier–Stokes equations. Although the result which is proved by Fourier splitting method is well known, our method is new, concise and direct. Moreover, it turns out that the new method established here
Numerous schemes and techniques exist for the solution of the Navier-Stokes equations on a serial machine, but the number which can be implemented efficiently and which exploit the special architectures of vector and parallel computers is relatively few. The paper discusses and comments on the appli