Article ID Journal Published Year Pages File Type
4634490 Applied Mathematics and Computation 2008 9 Pages PDF
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 L2(D) when the spatial dimension of D is one and two, respectively.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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The asymptotic behavior of the stochastic Ginzburg–Landau equation with additive noise
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