Special Session 181: Dirichlet Forms and Related Topics

Emergence of an unsaturated Darcy's law and a Richards-type equation via homogenization of the Stokes-Cahn-Hilliard system
Jun Masamune
Kyoto University
Japan
Co-Author(s):    
Abstract:
We study the homogenization of a microscopic Stokes-Cahn-Hilliard system in a periodically perforated porous medium with logarithmic free energy. The model describes incompressible two-phase flow with diffuse interfaces inside pore-scale geometries and incorporates capillary effects through the chemical potential. This is a collaborative effort with Rong Lei at Tohoku University.