LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES

Hongyong Cui; Yangrong Li; Jinyan Yin

doi:10.11948/2016071

2016 Volume 6 Issue 4

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Hongyong Cui, Yangrong Li, Jinyan Yin. LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1081-1104. doi: 10.11948/2016071

Citation:

Hongyong Cui, Yangrong Li, Jinyan Yin. LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1081-1104. doi: 10.11948/2016071

LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES

School of Mathematics and Statistics, Southwest University, 400715 Chongqing, China

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Abstract

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 semicontinuity, 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.
- Random attractor /
- magnetohydrodynamics equations /
- upper semicontinuity /
- equivalence of RDS
MSC: 35B40;35B41;37L55;60H15

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