论文信息 - The asymptotic behavior of the stochastic Ginzburg-Landau equation with additive noise

The asymptotic behavior of the stochastic Ginzburg-Landau equation with additive noise

Abstract We show that the stochastic Ginzburg–Landau equation with additive noise can be solved pathwise and the unique solution generates a random dynamic system. Then we prove that the system possesses a compact random attractor in L 2 ( D ) when the spatial dimension of D is one and two, respectively.

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