Special Session 20: Poster Session

Asymptotic Behavior of Random Navier-Stokes Equations Driven by Colored Noise

Anhui Gu
Southwest University
Peoples Rep of China
Co-Author(s):    Bixiang Wang
Abstract:
We investigate the asymptotic behavior of the solutions of the two-dimensional stochastic Navier-Stokes equations driven by colored noise. We prove the existence and uniqueness of tempered pullback attractors for the random equations with a general diffusion term. Under certain conditions, we also prove the convergence of solutions and random attractors of the approximate equations when the step size of approximations approaches zero.