In this paper, we study the regularity criterion of weak solutions of the three dimensional micropolar fluid flows. It is proved that if the pressure satisfies where P B 1 1,1 denotes the critical Besov space, then the weak solution .u, w/ becomes a regular solution on .0, T. This regularity criter
Remarks on the regularity criterion of the 3D micropolar fluid flows in terms of the pressure
β Scribed by Yan Jia; Wenliang Zhang; Bo-Qing Dong
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 218 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
In this paper, we study the regularity criterion of weak solutions to the three-dimensional (3D) micropolar fluid flows. It is proved that if the pressure satisfies
then the weak solution (u, w) becomes a regular solution on (0, T ]. The methods are based on the innovative function decomposition technique.
π SIMILAR VOLUMES
## Communicated by X. Wang In the study of the regularity criteria of weak solutions of the three-dimensional (3D) micropolar fluid flows, the regularity of solutions are examined by imposing some critical growth conditions only on the pressure field in the Lebesgue space, Morrey space, Multiplier
This paper studies the regularity criterion of weak solutions for three-dimensional (3D) micropolar fluid flows. When the velocity field satisfies u β L 2 1+r (0, T ; B r β,β (R 3 )) for -1 < r < 1, then the weak solution (u, w) is regular on (0, T ]. The methods are mainly based on the Fourier loca
In this note we establish a Serrin-type regularity criterion in terms of pressure for Leray weak solutions to the Navier-Stokes equation in R d . Here we call u a Leray weak solution if u is a weak solution of finite energy, i.e. It is known that if a Leray weak solution u belongs to then u is reg