Local and global existence results for anisotropic Hele–Shaw flows-Reference-Cited by-同舟云学术

Local and global existence results for anisotropic Hele–Shaw flows

Published:1999 Issue:2 Volume:129 Page:265-294
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:

Deckelnick Klaus,Elliott Charles M.

Abstract

In this paper we study a moving boundary problem for an anisotropic two-phase Hele–Shaw flow. Using a regularization technique, we prove existence of a local solution. Under suitable conditions on the initial free boundary we obtain a global solution and study its asymptotic behaviour.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference18 articles.

1. Dense-branching morphology and the radial Hele–Shaw cell driven at a constant flux;Yeung;Phys. Rev.

2. Viscous fingering in an anisotropic Hele-Shaw cell

3. Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows

4. A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane

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

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