Global regularity for the 2D incompressible MHD-α system without full dissipation and magnetic diffusions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Ma, Caochuan¹  Alsaedi, Ahmed²  Hayat, Tasawar^2,3  Zhou, Yong^2,4 

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia

[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

[4] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China

关键词: MHD-alpha;    Global regularity;    Partial viscosity;   

DOI  :  10.1016/j.jmaa.2015.09.043

来源: Elsevier

【 摘 要 】

In this paper, we consider the global regularity for the 2D incompressible MHD-alpha system without full dissipation and magnetic diffusions. We establish the global regularity of classical solutions for the MHD-alpha system with mixed partial dissipation and magnetic diffusion (nu(1) = 0, nu(2) > 0, eta(1) > 0, eta(2) = 0) or horizontal dissipation and horizontal magnetic diffusion (nu(1) > 0, nu(2) = 0, eta(1) > 0, eta(2) = 0). As alpha -> 0, the solution converges to that of the corresponding MHD equations. We also obtain the convergence rate of the limit as alpha -> 0 in L-2-norm. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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