Percolation of the boundary layer of a newtonian fluid through a perforated obstacle

Percolation of the boundary layer of a newtonian fluid through a perforated obstacle

We study the behavior of an inhomogeneous conducting fluid percolating through a porous obstacle. For a family of boundary value problems with micro-inhomogeneities on the boundary and nontrivial internal microstructure we construct the homogenized problem and prove the convergence of solutions to t...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-04, Vol.166 (3), p.328-337
Hauptverfasser: Spiridonov, S. V., Chechkin, G. A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We study the behavior of an inhomogeneous conducting fluid percolating through a porous obstacle. For a family of boundary value problems with micro-inhomogeneities on the boundary and nontrivial internal microstructure we construct the homogenized problem and prove the convergence of solutions to the initial problem to the solution of the homogenized problem. Bibliography: 7 titles. Illustrations: 2 figures.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-010-9870-8