Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

• Published in: Abstract and Applied Analysis Vol. 2014; no. 2014; pp. 400 - 411-640
• Main Authors: Lu, Qiuying, Zhang, Weipeng, Deng, Guifeng
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Limiteds 01.01.2014; Hindawi Publishing Corporation; John Wiley & Sons, Inc; Hindawi Limited; Wiley
• Subjects: Chaos theory; Dynamical systems; Mathematics; Noise; United States

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...