Treffer: The asymptotic behavior of the stochastic Ginzburg–Landau equation with additive noise
Title:
The asymptotic behavior of the stochastic Ginzburg–Landau equation with additive noise
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Source:
Applied Mathematics & Computation. May2008, Vol. 198 Issue 2, p849-857. 9p.
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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. [Copyright &y& Elsevier]