Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems

Description

The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential equation is perturbed by an ²¡small random term and certain hypotheses are satisfied, the upper semicontinuity of the random attractors is obtained as ² goes to zero. The results are applied to the Navier-Stokes equations and a problem of reaction-diffusion type, both perturbed by an additive white noise.

Additional details