## Abstract We study the regularity criteria for weak solutions to the incompressible magnetohydrodynamic (MHD) equations. Some regularity criteria, which are related only with __u__+__B__ or __u__β__B__, are obtained for weak solutions to the MHD equations. Copyright Β© 2008 John Wiley & Sons, Ltd.
Remark on the regularity criterion for three-dimensional magnetohydrodynamic equations
β Scribed by Sadek Gala
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 327 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 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
In this paper, we consider the two-dimensional Newton-Boussinesq equations with the incompressibility condition. We obtain a regularity criterion for the Newton-Boussinesq equations by virtue of the commutator estimate.
In this paper, we consider the regularity criteria for weak solutions to the 3D incompressible magnetohydrodynamic equations and prove some regularity criteria which are related only with u+B or u-B. This is an improvement of the result given by He and Wang (J.