Homogenization of non-stationary Stokes equations with viscosity in a perforated domain
Gennadiy V. Sandrakov · Izvestiya Mathematics · 1997
Theorems are proved about the asymptotic behaviour of solutions of an initial boundary-value problem for non-stationary Stokes equations in a?periodic perforated domain with a?small period?. The viscosity coefficient? of the equations is assumed to be a?positive parameter satisfying one of the following three conditions: as . We also consider the case of degenerate Stokes equations with zero viscosity coefficient and the case of Navier-Stokes equations when the viscosity coefficient is not too small.