Local and global existence results for anisotropic Hele-Shaw flows
journal contribution
posted on 2023-06-07, 19:49authored byKlaus Deckelnick, Charles M Elliott
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.
History
Publication status
Published
Journal
Proceedings of the Royal Society of Edinburgh Section A