The solution of the free boundary problem for an axisymmetric partially penetrating well
type: Item
instance of: scholarly article
title: The solution of the free boundary problem for an axisymmetric partially penetrating well
zbMATH Open document ID: 0552.76074
DOI: 10.1007/BF01781069
author: N. E. Zubov
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1983-01-01T00:00:00Z
review text: The free boundary problem, generated by an axisymmetric partially penetrating well in a layer of soil of permeability \(K(x,y)=\) \(\exp (f(x)+g(y))\) is studied. Using a type of Baiocchi transform the existence of the solution for the corresponding family of variational inequalities is proved.
reviewed by: Gelu Paşa
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 3880347
zbMATH Keywords: free boundary problem
zbMATH Keywords: axisymmetric partially penetrating well
zbMATH Keywords: layer of soil
zbMATH Keywords: Baiocchi transform
zbMATH Keywords: existence
zbMATH Keywords: variational inequalities
MaRDI profile type: Publication
cites work: Strömungen durch inhomogene poröse Medien mit freiem Rand.
cites work: Q4058402
cites work: Q4118184
cites work: Q5244894
cites work: Free boundary problems in the theory of fluid flow through porous media: Existence and uniqueness theorems
cites work: On a filtration problem through a porous medium
cites work: The obstacle problem and partial differential equations with discontinuous nonlinearities
cites work: The solution of the axisymmetric elastic-plastic torsion of a shaft using variational inequalities
cites work: Q5539964
cites work: Q3905599
cites work: Method of moments for singular problems
cites work: Q5601627
cites work: Q5628582
cites work: Variational inequalities
cites work: Boundary value problems for some degenerate-elliptic operators
cites work: Q5802809
cites work: Q4765475
full work available at URL: https://doi.org/10.1007/bf01781069
OpenAlex ID: W2033340362
description: scientific article; zbMATH DE number 3880347