Applied Mathematics

Volume 6, Issue 4 (April 2015)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

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

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DOI: 10.4236/am.2015.64068    2,887 Downloads   3,609 Views  Citations

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.

Share and Cite:

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.

Cited by

[1] Time decay rate of weak solutions to the generalized MHD equations in R2
Applied Mathematics and Computation, 2017
[2] Inertial Manifolds for 2D Generalized MHD System
International Journal of Modern Nonlinear Theory and Application, 2015

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