Abstract
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 ${\mathcal A}^{\rm tr}_\alpha$ for the natural translation semigroup in the trajectory space. Then we establish that the trajectory attractor $\mathcal{A}^{\rm tr}_\alpha$ converges, as $\alpha\rightarrow 0^+$, to the trajectory attractor $\mathcal{A}^{\rm tr}_0$ of the 3D Navier-Stokes equations in a proper topological space.
Citation
Caidi Zhao. Lei Kong. Guowei Liu. Min Zhao. "The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations." Topol. Methods Nonlinear Anal. 44 (2) 413 - 433, 2014.
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