Remarks on global regularity of 2D generalized MHD equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:413

Article

Yuan, Baoquan¹  Bai, Linna¹ 

[1] Henan Polytech Univ, Sch Math & Informat Sci, Kaifeng 454000, Henan, Peoples R China

关键词: Generalized MHD equations;    Smooth solution;    Global regularity;   

DOI  :  10.1016/j.jmaa.2013.12.024

来源: Elsevier

【 摘 要 】

In this paper, we investigate the global regularity of 2D generalized MHD equations, in which the dissipation term and magnetic diffusion term are nu(-Delta)(alpha)u and eta(-Delta)(beta)b respectively. Let (u(0), b(0)) is an element of H-s with s >= 2, it is showed that the smooth solution (u(x, t), b(x, t)) is globally regular for the case 0 <= alpha <= 1/2, alpha + beta > 3/2. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free