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arXiv · 2006.08382

Asymptotic regularity and attractors for slightly compressible Brinkman-Forcheimer equations

Varga Kalantarov·Sergey Zelik
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Abstract

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.

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Varga Kalantarov, Sergey Zelik. 2020-06-15. Asymptotic regularity and attractors for slightly compressible Brinkman-Forcheimer equations. https://arxiv.org/abs/2006.08382

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