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Application of homogenization theory related to Stokes flow in porous media. (English) Zbl 1059.76533
Stokes flow in porous media is considered. Known theoretical results are applied to obtain some homogenization results for the flow in question. The core of the paper is in numerical treatment of homogenization which is known to be practically impossible to attack directly for small mesh values. To this purpose a weak approximation of the original problem is constructed which has desired stability properties. Several examples of usefulness of the presented results are given.

MSC:
76S05 Flows in porous media; filtration; seepage
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
49J45 Methods involving semicontinuity and convergence; relaxation
76D07 Stokes and related (Oseen, etc.) flows
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76M50 Homogenization applied to problems in fluid mechanics
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