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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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