On the steady-state flow of an incompressible fluid through a randomly perforated porous medium
The author applies the theory of stochastic differentiation to the homogenization of steady-state Stokes equations for an incompressible fluid when the perforation is obtained from a random process. The homogenized flow, obtained via the stochastic two-scale convergence in the mean, is shown to satisfy a Darcy-type law and a two-pressure Stokes system with both deterministic and stochastic derivatives.
scientific article; zbMATH DE number 1212362
scientific article