Global classical solutions to the 2D compressible MHD equations with large data and vacuum

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:258

Article

Mei, Yu^1,2 

[1] Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

关键词: Compressible MHD equations;    Global classical solutions;    Density-dependent viscosity;    Large data;    Vacuum;   

DOI  :  10.1016/j.jde.2014.11.023

来源: Elsevier

【 摘 要 】

In this paper, we study the global well-posedness of classical solutions to the 2D compressible MHD equations with large initial data and vacuum. With the assumption mu = const. and lambda = rho(beta), beta > 1 (Vaigant-Kazhikhov Model) for the viscosity coefficients, the global existence and uniqueness of classical solutions to the initial value problem is established on the torus T-2 and the whole space R-2 (with vacuum or non-vacuum far fields). These results generalize the previous ones for the Vaigant Kazhikhov model of compressible Navier-Stokes equations. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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