Electronic Research Archive (Jan 2023)
Dynamics of stochastic 3D Brinkman-Forchheimer equations on unbounded domains
Abstract
This paper is concerned with the asymptotic behavior of the stochastic three dimensional Brinkman-Forchheimer equations in some unbounded domains. We first define a continuous random dynamical system for the equations. Then by J. Ball's idea of energy equations, we obtain pullback asymptotic compactness of solutions and prove that the existence of a unique random attractor for the equations.
Keywords