Publication: Asymptotic regularity and attractors for slightly compressible Brinkman-Forchheimer equations
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Zelik, Sergey
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NO
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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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Publisher
Springer
Subject
Mathematics
Citation
Has Part
Source
Applied Mathematics and Optimization
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Edition
DOI
10.1007/s00245-020-09742-8