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We give a comprehensive study of the 3D Navier-Stokes-Brinkman-Forchheimerequations in a bounded domain endowed with the Dirichlet boundary conditionsand non-autonomous external forces. This study includes the questions relatedwith the regularity of weak solutions, their dissipativity in higher energyspaces and the existence of the corresponding uniform attractors

The non-autonomous Navier-Stokes-Brinkman-Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors