The York Research Database
- » Research
- » York Research Database
- » Publications
- » Random attractors for stochastic 2D-Navier-Stokes equations in some un...
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
Research output: Working paper › Preprint
Author(s)
Department/unit(s)
Publication details
| Date | Published - Mar 2011 |
|---|---|
| Number of pages | 29 |
| Original language | English |
Abstract
We show that the stochastic flow generated by the Stochastic Navier-Stokes equations in a 2-dimensional Poincar\'e domain has a unique random attractor. This result complements a recent result by Brze\'zniak and Li \cite{Brz_Li_2006b} who showed that the flow is asymptotically compact and generalizes a recent result by Caraballo et al. \cite{Caraballo_L_R_2006} who proved existence of a unique pullback attractor for the time-dependent deterministic Navier-Stokes equations in a 2-dimensional Poincar\'e domain.
Discover related content
Find related publications, people, projects, datasets and more using interactive charts.