Deterministic Homogenization of Stationary Navier-Stokes Type Equations*

摘要

Deterministic homogenization of stationary Navier-Stokes type equations is studied, on one hand in fixed domains, on the other hand, on variable domains representing porous media. In the first case the macroscopic homogenized equations are still of Navier-Stokes type whereas in the second case the main homogenization result is Darcy's law. Our main tools are the so-called homogenization algebras and the sigma-convergence theory generalizing two-scale convergence.