| Volume 6, Number 4, 2016, Pages 1081-1104 DOI：10.11948/2016071 |
| Long time behavior of stochastic {MHD} equations perturbed by multiplicative noises |
| Hongyong Cui,Yangrong Li,Jinyan Yin |
| Keywords:Random attractor, magnetohydrodynamics equations, upper semi-continuity, equivalence of RDS. |
| Abstract: |
| In this paper, 2-dimensional (2D) magnetohydrodynamics (MHD) equations perturbed by multiplicative noises in both the velocity and the magnetic field is studied. We first considered the stability, or the upper semi-continuity, for equivalent random dynamical systems (RDS), and then applying the abstract result we established the existence and the upper semi-continuity of tempered random attractors for the stochastic MHD equations. This result shows that the asymptotic behavior of MHD equations is stable under stochastic perturbations. |
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