Global Attractors and Dimension Estimation of the 2D Generalized MHD System with Extra Force

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.

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Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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