Some remarks on the homogenization of immiscible incompressible two-phase flow in double porosity media (Q1671052)

One of the main goals of the paper is to reformulate in a systematic fashion (and eventually in a more general context) the homogenization problem for an immiscible incompressible two-phase flow in double-porosity media. By suitably weakening standing assumptions, a special attention is paid to the developing of a general approach to incorporating (in the two-phase flow setting) highly heterogeneous porous media with discontinuous capillary pressures. At the technical level, the approach relies on uniform energy estimates as well as on a combination of two-scale convergence and periodic unfolding-type arguments.