# American Institute of Mathematical Sciences

March  2016, 21(2): 575-590. doi: 10.3934/dcdsb.2016.21.575

## Stochastic dynamics of 2D fractional Ginzburg-Landau equation with multiplicative noise

 1 School of Mathematics and Systems Science & LMIB, Beijing University of Aeronautics and Astronautics, Beijing, 100191 2 School of Mathematics and Systems Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China 3 School of Mathematical and Statistical Sciences, University of Texas-Rio Grande Valley, Edinburg, TX 78539, United States

Received  December 2014 Revised  May 2015 Published  November 2015

In this work, we analyze the stochastic fractional Ginzburg-Landau equation with multiplicative noise in two spatial dimensions with a particular interest in the asymptotic behavior of its solutions. To get started, we first transfer the stochastic fractional Ginzburg-Landau equation into a random equation whose solutions generate a random dynamical system. The existence of a random attractor for the resulting random dynamical system is explored, and the Hausdorff dimension of the random attractor is estimated.
Citation: Shujuan Lü, Hong Lu, Zhaosheng Feng. Stochastic dynamics of 2D fractional Ginzburg-Landau equation with multiplicative noise. Discrete & Continuous Dynamical Systems - B, 2016, 21 (2) : 575-590. doi: 10.3934/dcdsb.2016.21.575
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