We study homogenization for nonstationary Navier–Stokes systems in a fissured medium of general deterministic type. Assuming that the blocks of the porous medium consist of deterministically distributed inclusions and the elasticity tensors satisfy general deterministic hypotheses, we prove that the macroscopic problem is a Navier-Stokes type equation for Newtonian fluid in a fixed domain. Our setting includes the classical periodic framework, the weakly almost periodic one, and some others. Bibliography: 34 titles.
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Translated from Problemy Matematicheskogo Analiza 70, May 2013, pp. 105–128.
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Douanla, H., Nguetseng, G. & Woukeng, J.L. Incompressible viscous Newtonian flow in a fissured medium of general deterministic type. J Math Sci 191, 214–242 (2013). https://doi.org/10.1007/s10958-013-1313-x
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DOI: https://doi.org/10.1007/s10958-013-1313-x