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Homogenization of a dual-permeability problem in two-component media with imperfect contact. (English) Zbl 1363.35021
The author considers as microscopic problem a weakly coupled system of Darcy-like equations for slightly compressible flows, posed for fluid velocities through a high-contrast periodic media. The system is linked via transmission conditions of Deresiewicz-Skalak type. The target of this paper - the derivation of a single macroscopic pressure model - is reached by a fine application of two-scale convergence arguments for a particular scaling of the microscopic model in terms of the small parameter $$\epsilon$$. The choice of scaling describes what the author means by a high contrast in two microstructural phases that have an imperfect contact.

##### MSC:
 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 76S05 Flows in porous media; filtration; seepage
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##### References:
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