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Partially saturated flow in a poroelastic medium. (English) Zbl 1004.76090
Summary: The formulation and existence theory is presented for a system modeling diffusion of a slightly compressible fluid through a partially saturated poroelastic medium. Nonlinear effects of density, saturation, porosity and permeability variations with pressure are included, and the seepage surface is determined by a variational inequality on the boundary.

MSC:
76S05 Flows in porous media; filtration; seepage
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
35Q35 PDEs in connection with fluid mechanics
49J40 Variational inequalities
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