Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610661 | Journal of Differential Equations | 2013 | 23 Pages |
Abstract
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier–Stokes equations with rough noise on a Poincaré-like domain has a unique random attractor. One of the technical problems associated with the rough noise is overcomed by the use of the corresponding Cameron–Martin (or reproducing kernel Hilbert) space. Our results complement the result by Brzeźniak and Li (2006) [10] who showed that the corresponding flow is asymptotically compact and also generalize Caraballo et al. (2006) [12] who proved existence of a unique attractor for the time-dependent deterministic Navier–Stokes equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Z. Brzeźniak, T. Caraballo, J.A. Langa, Y. Li, G. Łukaszewicz, J. Real,