The solution of an infiltration problem with ponded surface flux condition
type: Item
instance of: scholarly article
title: The solution of an infiltration problem with ponded surface flux condition
zbMATH Open document ID: 0633.76106
DOI: 10.1007/BF01666519
author: Jianguo Li
author: Ning Su
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1985-01-01T00:00:00Z
review text: This paper discusses an infiltration problem on the half-space \({\mathbb{R}}^+\times {\mathbb{R}}^+\) with ponded surface flux condition. We establish the existence and uniqueness of weak solutions, and give some simple results about the interface between saturated and unsaturated regions.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4031314
zbMATH Keywords: one-dimensional infiltration equation
zbMATH Keywords: homogeneous partially saturated porous medium
zbMATH Keywords: infiltration problem on the half-space
zbMATH Keywords: ponded surface flux condition
zbMATH Keywords: existence
zbMATH Keywords: uniqueness of weak solutions
zbMATH Keywords: unsaturated regions
MaRDI profile type: Publication
cites work: Q4139083
cites work: The Cauchy problem for an equation in the theory of infiltration
cites work: A necessary and sufficient condition for the existence of an interface in flows through porous media
cites work: Regularity Propeties of Flows Through Porous Media
cites work: Regularity properties of flows through porous media: The interface
cites work: The Porous Medium Equation in One Dimension
cites work: Liquid Flow in Partially Saturated Porous Media
cites work: Nonstationary filtration in partially saturated porous media
cites work: Some properties of the solution of a filtration problem in partially saturated porous media
cites work: The boundary value problems for the filtration equation in partially saturated porous media
cites work: Q3568481
cites work: Q5520962
cites work: Q3262430
full work available at URL: https://doi.org/10.1007/bf01666519
OpenAlex ID: W2004604718
description: scientific article; zbMATH DE number 4031314