Ohlberger, Mario; Schweizer, Ben Modelling of interfaces in unsaturated porous media. (English) Zbl 1163.76417 Discrete Contin. Dyn. Syst. 2007, Suppl., 794-803 (2007). Summary: In this contribution we discuss interface conditions for unsaturated flow in porous media. Our aim is to provide a concise collection of the arguments that lead to the standard models for interfaces that either separate two porous media or a porous medium and void space. We furthermore present a regularization procedure for these interface conditions. In a singular limit, a nonlinear boundary condition of third kind can provide approximate solutions to the outflow condition of Signorini type. Cited in 2 Documents MSC: 76S05 Flows in porous media; filtration; seepage 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations 35K65 Degenerate parabolic equations Keywords:Richards equation; unsaturated flow; porous media; interface conditions PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{B. Schweizer}, Discrete Contin. Dyn. Syst. 2007, 794--803 (2007; Zbl 1163.76417)