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Ladyzhenskaya, O.A. and Seregin, G.A. (1960) Mathematical Problems of Hydrodynamics and Magnetohydrodynamics of a Viscous Incompressible Fluid. Proceedings of V.A. Steklov Mathematical Institute, 59, 115-173. (In Russian)

has been cited by the following article:

• 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.