Showalter, R. E.; Su, Ning Partially saturated flow in a poroelastic medium. (English) Zbl 1004.76090 Discrete Contin. Dyn. Syst., Ser. B 1, No. 4, 403-420 (2001). 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. Cited in 8 Documents 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 Keywords:Darcy’s law; filtration; consolidation problem; existence; diffusion; slightly compressible fluid; partially saturated poroelastic medium; density; saturation; porosity; permeability; seepage surface; variational inequality PDF BibTeX XML Cite \textit{R. E. Showalter} and \textit{N. Su}, Discrete Contin. Dyn. Syst., Ser. B 1, No. 4, 403--420 (2001; Zbl 1004.76090) Full Text: DOI