Dynamics of the three-dimensional brinkman-forchheimer-extended darcy model in the whole space

This paper is concerned with the pullback dynamics of a threedimensional Brinkman-Forchheimer-extended Darcy (3D BFeD) model for porous media in the whole space. The existence and uniqueness of weak solutions is achieved firstly, leading to the generation of a continuous non-autonomous co cycle for the BFed model. Based on the global well-posedness, the existence of pullback attractors is proved by using uniform a priori estimates on the tails of solutions outside bounded domains.