  Slightly compressible Brinkman-Forchheimer equations in a bounded 3D domain
with Dirichlet boundary conditions are considered. These equations model fluids
motion in porous media. The dissipativity of these equations in higher order
energy spaces is obtained and regularity and smoothing properties of the
solutions are studied. In addition, the existence of a global and an
exponential attractors for these equations in a natural phase space is
verified.
