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ISSN 1088-6850(e) ISSN 0002-9947(p)

The Hele-Shaw problem as a ``Mesa'' limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary

Author(s): Ivan A. Blank; Marianne K. Korten; Charles N. Moore
Journal: Trans. Amer. Math. Soc. 361 (2009), 1241-1268.
MSC (2000): Primary 76D27, 35K65, 49J40
Posted: October 10, 2008
MathSciNet review: 2457397
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We study a Hele-Shaw problem with a mushy region obtained as a mesa type limit of one-phase Stefan problems in exterior domains. We deal with both Neumann and Dirichlet data and show pointwise convergence of the Stefan solutions to the Hele-Shaw solution. We make no assumptions on the geometry, topology, or connectivity of the injection slot.

References:

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