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Local and global existence results for anisotropic Hele-Shaw flows
journal contribution
posted on 2023-06-07, 19:49 authored by Klaus Deckelnick, Charles M ElliottIn 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 AISSN
0308-2105Publisher
Cambridge University PressExternal DOI
Issue
2Volume
129Page range
265-294ISBN
0308-2105Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes