This paper studies the trajectory behavior of the convective Brinkman-Forchheimer equations in three-dimensional (3D) bounded domains. We first prove the existence of the trajectory attractor A tr α for the natural translation semigroup in the trajectory space. Then we establish that the trajectory attractor A tr α converges, as α → 0 + , to the trajectory attractor A tr 0 of the 3D Navier-Stokes equations in a proper topological space.
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