Author(s)

Zhaoqin Yuan, Liang Guo, Guoguang Lin^*

Department of Mathematics, Yunnan University, Kunming, China.

In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu-tions of a two dimensional generalized magnetohydrodynamic (MHD) system. Then the existence of the global attractor is proved. Finally, the upper bound estimation of the Hausdorff and fractal dimension of attractor is got.

MHD System, Existence, Global Attractor, Dimension Estimation

Yuan, Z. , Guo, L. and Lin, G. (2015) Global Attractors and Dimension Estimation of the 2D Generalized MHD System with Extra Force. Applied Mathematics, 6, 724-736. doi: 10.4236/am.2015.64068.