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.
Remark on the regularity for weak solutions to the magnetohydrodynamic equations
β Scribed by Cheng He; Yun Wang
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 160 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.992
No coin nor oath required. For personal study only.
β¦ Synopsis
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 uβB, are obtained for weak solutions to the MHD equations. Copyright Β© 2008 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
## Abstract Consider the nonstationary NavierβStokes equations in Ξ© Γ (0, __T__), where Ξ© is a bounded domain in β^3^. We prove interior regularity for suitable weak solutions under some condition on the pressure in the class of scaling invariance. The notion of suitable weak solutions makes it pos
## Abstract Let u be a vector field on a bounded Lipschitz domain in β^3^, and let u together with its divergence and curl be square integrable. If either the normal or the tangential component of u is square integrable over the boundary, then u belongs to the Sobolev space __H__^1/2^ on the domain
In this paper, we are concerned with strong solutions to the Cauchy problem for the incompressible Magnetohydrodynamic equations. By the Galerkin method, energy method and the domain expansion technique, we prove the local existence of unique strong solutions for general initial data, develop a blow