UNIFORM ATTRACTORS FOR THREE-DIMENSIONAL BRINKMAN-FORCHHEIMER SYSTEM AND SOME AVERAGING PROBLEMS
We discuss the long time behavior of solutions for a three-dimensional non-autonomous Brinkman-Forchheimer equation in 3D bounded domains. We obtain the existence and reveal the structure of the uniform attractors for the processes associated to the fluid in V, when the external force is translation compact in And, we also investigate the Brinkman-Forchheimer system with oscillating forces possessing the averaging as where With assumptions on the functions and we prove that the Hausdorff distance between the uniform attractors and in V, corresponding to the oscillating equations and the averaged equation, respectively, tends to zero as
Brinkman-Forchheimer equation, uniform attractor, oscillating external forces.