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Dynamical behaviors of stochastic Hasegawa-Mima equation in torus

Journal of Mathematical Physics, ISSN: 0022-2488, Vol: 59, Issue: 2
2018
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  • Citations
    3
    • Citation Indexes
      3

Article Description

The Hasegawa-Mima equation driven by external noise is naturally derived in the investigation of tokamak fusion and geophysical fluids, where the noise is assumed to model a bath of microscopic-scale turbulence. In this paper, we mainly investigate the asymptotic behaviors of the solution for the stochastic Hasegawa-Mima equation. The existence of the random attractor for the corresponding random dynamical system in Wper2,∞(D)∪Hper3(D) is proved by employing the uniform a priori estimates in period domain D.

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