Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains

Details Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains

2011-03-20

arxiv.org/abs/1103.3889v1

Mathematics

Probability

Scientific paper

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.

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