Liquid flow in partially saturated porous media
A Fasano, M Primicerio - IMA Journal of Applied Mathematics, 1979 - academic.oup.com
A Fasano, M Primicerio
IMA Journal of Applied Mathematics, 1979•academic.oup.comWe consider a picture for the filtration of a liquid in a partially saturated porous medium,
leading to a two-phase one-dimensional free boundary problem of the following type: The
liquid pressure satisfies an elliptic equation in the saturated region and a non-linear
parabolic equation in the unsaturated region, while pressure and velocity are continuous
across the interface. This scheme reduces to the study of the non-linear parabolic free
boundary problem in the unsaturated phase with cauchy data prescribed on the free …
leading to a two-phase one-dimensional free boundary problem of the following type: The
liquid pressure satisfies an elliptic equation in the saturated region and a non-linear
parabolic equation in the unsaturated region, while pressure and velocity are continuous
across the interface. This scheme reduces to the study of the non-linear parabolic free
boundary problem in the unsaturated phase with cauchy data prescribed on the free …
Abstract
We consider a picture for the filtration of a liquid in a partially saturated porous medium, leading to a two-phase one-dimensional free boundary problem of the following type: The liquid pressure satisfies an elliptic equation in the saturated region and a non-linear parabolic equation in the unsaturated region, while pressure and velocity are continuous across the interface.
This scheme reduces to the study of the non-linear parabolic free boundary problem in the unsaturated phase with cauchy data prescribed on the free boundary, for such a problem existence, uniqueness and continuous dependence theorems are proved.
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