Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains
We prove the existence of a pullback attractor in L 2 ( ℝ n ) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝ n . We show that the stochastic Ginzburg-Landau equation with additive noise can be recast as a random dynamical system. We demonstrate th...
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Published in | Abstract and Applied Analysis Vol. 2014; no. 2014; pp. 400 - 411-640 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Cairo, Egypt
Hindawi Limiteds
01.01.2014
Hindawi Publishing Corporation John Wiley & Sons, Inc Hindawi Limited Wiley |
Subjects | |
Online Access | Get full text |
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Summary: | We prove the existence of a pullback attractor in L 2 ( ℝ n ) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝ n . We show that the stochastic Ginzburg-Landau equation with additive noise can be recast as a random dynamical system. We demonstrate that the system possesses a unique D -random attractor, for which the asymptotic compactness is established by the method of uniform estimates on the tails of its solutions. |
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ISSN: | 1085-3375 1687-0409 |
DOI: | 10.1155/2014/428685 |