Local and global existence results for anisotropic Hele-Shaw flows

Authors
Deckelnick, K Elliott, CM
Citation
K. Deckelnick et Cm. Elliott, Local and global existence results for anisotropic Hele-Shaw flows, P RS EDIN A, 129, 1999, pp. 265-294
Citations number
18
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
129
Year of publication
1999
Part
2
Pages
265 - 294
Database
ISI
SICI code
0308-2105(1999)129:<265:LAGERF>2.0.ZU;2-C
Abstract
In this paper we study a moving boundary problem for an anisotropic two-pha se 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.