Random attractors for 2D stochastic micropolar fluid flows on unbounded domains

The asymptotic behavior of a model for 2D incompressible stochastic micropolar fluid flows with rough noise on a Poincare domain is investigated. First, the existence and uniqueness of solutions to an evolution equation arising from the underlying stochastic micropolar fluid model is established via the Galerkin method and energy method. Then the existence of a random attractor is studied by using the theory of random dynamical systems for which the noise is dealt with by appropriate reproducing kernel Hilbert space.