Summary
We prove the convergence of the homogenization process for a nonstationary Navier-Stokes system in a porous medium. The result of homogenization is Darcy's law, as in the case of the Stokes equation, but the convergence of pressures is in a different function space.
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This work was supported in part by INA-NAFTAPLIN, Geological Exploration and Development Division, Zagreb, Yugoslavia, and by SIZ I, Zagreb, Yugoslavia.
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Mikelić, A. Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary. Annali di Matematica pura ed applicata 158, 167–179 (1991). https://doi.org/10.1007/BF01759303
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DOI: https://doi.org/10.1007/BF01759303