upper semicontinuity of attractors for small random perturbations of dynamical systems
نویسنده
چکیده
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential equation is perturbed by an −small random term and certain hypotheses are satisfied, the upper semicontinuity of the random attractors is obtained as 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. This paper has appeared in Communications in PDEs 23 (1998) 1557–1581
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