Dynamical behaviors of stochastic Hasegawa-Mima equation in torus

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.