On the Effective Boundary Conditions Between Different Flow Regions
Andro Mikelić · 2011
Abstract. We give a review of recent mathematical results on the derivation of the effective constitutive laws at the interfaces separating different flow regions. Three cases are considered: (a) the effective transmission conditions at the boundary between two different porous media, (b) the effective boundary conditions for a viscous flow across a porous bed, and (c) the effective boundary conditions at the interface between a seabed and a sea. In all those situations the effective equations in the interior of every part are well-known, but their coupling at the interface requires studying boundary layers for the flow equations in a heterogeneous periodic porous medium.