The infiltration problem with large constant surface flux in partially saturated porous media
type: Item
instance of: scholarly article
title: The infiltration problem with large constant surface flux in partially saturated porous media
zbMATH Open document ID: 0633.76107
DOI: 10.1007/BF01665848
author: Lianjun An
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1985-01-01T00:00:00Z
review text: The infiltration problem in two degenerate cases is considered. After proving the existence of weak solutions, we study when the water content c(u(\(\cdot,t))\) has compact support and how the solution behaves as \(t\to \infty\). Moreover, we get existence and regularity of two kinds of free boundaries under some conditions on the initial date.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4031315
zbMATH Keywords: homogeneous, isotropic porous medium
zbMATH Keywords: infiltration problem
zbMATH Keywords: existence of weak solutions
zbMATH Keywords: regularity
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01665848
OpenAlex ID: W2044541574
description: scientific article; zbMATH DE number 4031315