The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations
Keywords
Convective Brinkman-Forchheimer equations, trajectory attractor, Navier-Stokes equations, topological spaceAbstract
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.Downloads
Published
2016-04-12
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1.
ZHAO, Caidi, KONG, Lei, LIU, Guowei and ZHAO, Min. The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 44, no. 2, pp. 413 - 433. [Accessed 24 April 2024].
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