Hele—Shaw flow model of the injection by a point source-Reference-Cited by-同舟云学术

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Hele—Shaw flow model of the injection by a point source

Published:1981 Issue:1-2 Volume:91 Page:147-159
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Čížek Pavel,Janovský Vladimír

Abstract

SynopsisA variational formulation of the Hele—Shaw flow model of the point injection of fluid into a laminar cell is introduced. The analysis concerning the existence, uniqueness and regularity of a solution to the variational problem is presented.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

2. A variational inequality approach to Hele-Shaw flow with a moving boundary

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Long-time behavior of a Hele-Shaw type problem in random media;Interfaces and Free Boundaries;2011

2. A generalized temperature-dependent, non-Newtonian Hele-Shaw flow in injection and compression moulding;Mathematical Methods in the Applied Sciences;1997-09-25

3. The quasiconformal mapping methods to solve free boundary problem for generalized hele-shaw flows;Complex Variables, Theory and Application: An International Journal;1996-01

4. The ill-posed Hele-Shaw model and the Stefan problem for supercooled water;Transactions of the American Mathematical Society;1984

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