## Abstract and Applied Analysis

### Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise

#### Abstract

Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval $\mathcal{I}$ in $\mathbb{R}$. By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in ${L}^{2}(\mathcal{I})$ for the equation. The upper semicontinuity shows the stability of attractors under perturbations.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 921750, 10 pages.

Dates
First available in Project Euclid: 27 February 2015

https://projecteuclid.org/euclid.aaa/1425049837

Digital Object Identifier
doi:10.1155/2014/921750

Mathematical Reviews number (MathSciNet)
MR3273918

Zentralblatt MATH identifier
07023313

#### Citation

Li, Yangrong; Cui, Hongyong. Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise. Abstr. Appl. Anal. 2014 (2014), Article ID 921750, 10 pages. doi:10.1155/2014/921750. https://projecteuclid.org/euclid.aaa/1425049837