Some properties of the solution of a filtration problem in partially saturated porous media
type: Item
instance of: scholarly article
title: Some properties of the solution of a filtration problem in partially saturated porous media
zbMATH Open document ID: 0594.76085
DOI: 10.1007/BF01883892
author: Lianjun An
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1984-01-01T00:00:00Z
review text: A filtration problem with second initial-boundary value in partially saturated porous media is considered. One of the difficulties of this problem is the appearance of the free boundary which separates the saturated and unsaturated regions. The uniqueness and the existence of the weak solution of the problem is proved. The existence and the continuity of the free surface is proved under certain conditions. In the last part a maximum principle for the weak solution is established, from which a time-limit existence of this solution is obtained.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3956708
zbMATH Keywords: filtration problem
zbMATH Keywords: second initial-boundary value
zbMATH Keywords: partially saturated porous media
zbMATH Keywords: appearance of the free boundary
zbMATH Keywords: unsaturated regions
zbMATH Keywords: uniqueness
zbMATH Keywords: existence of the weak solution
zbMATH Keywords: continuity of the free surface
zbMATH Keywords: maximum principle for the weak solution
zbMATH Keywords: time-limit existence
reviewed by: Gelu Paşa
MaRDI profile type: Publication
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cites work: Q4054101
full work available at URL: https://doi.org/10.1007/bf01883892
OpenAlex ID: W1975222744
description: scientific article; zbMATH DE number 3956708