Research Article

Remark on the regularity for weak solutions to the magnetohydrodynamic equations

  1. Cheng He1,*,
  2. Yun Wang2

Article first published online: 20 FEB 2008

DOI: 10.1002/mma.992

Issue

Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences

Volume 31, Issue 14, pages 1667–1684, 25 September 2008

Additional Information

How to Cite

He, C. and Wang, Y. (2008), Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Math. Meth. Appl. Sci., 31: 1667–1684. doi: 10.1002/mma.992

Author Information

  1. 1

    Institute of Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, People's Republic of China

  2. 2

    Department of Mathematics and The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, NT, Hong Kong

*Institute of Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, People's Republic of China

Publication History

  1. Issue published online: 7 AUG 2008
  2. Article first published online: 20 FEB 2008
  3. Manuscript Received: 7 OCT 2007

Funded by

  • Key Project of the National Natural Science Foundation. Grant Number: 10431060
  • The 973 Key Program. Grant Number: 2006CB805902
  • Knowledge Innovation Funds of CAS. Grant Number: KJCX3-SYW-S03

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Keywords:

  • magnetohydrodynamics equations;
  • regularity criteria

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−B, are obtained for weak solutions to the MHD equations. Copyright © 2008 John Wiley & Sons, Ltd.

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