TITLE:
Global Attractors and Dimension Estimation of the 2D Generalized MHD System with Extra Force
AUTHORS:
Zhaoqin Yuan, Liang Guo, Guoguang Lin
KEYWORDS:
MHD System, Existence, Global Attractor, Dimension Estimation
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.4,
April
29,
2015
ABSTRACT: 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.