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

Simple item page
dc.creatorBlank, I. A.
dc.creatorKorten, M. K.
dc.creatorMoore, C. N.
dc.date2004-10-06
dc.date2005-06-22
dc.date.accessioned2026-07-07T05:12:56Z
dc.date.available2026-07-07T05:12:56Z
dc.descriptionWe study a Hele-Shaw problem with a mushy region obtained as a Mesa type limit of one phase Stefan problems in exterior domains. We study the convergence, determine some of the qualitative properties and regularity of the unique limiting solution, and prove regularity of the free boundary of this limit under very general conditions on the initial data. Indeed, our results handle changes in topology and multiple injection slots.
dc.description28 pages, 4 figures, latex file - Corrections to the sixth section of the last version
dc.identifierhttps://arxiv.org/abs/math/0410131
dc.identifierhttp://arxiv.org/abs/math/0410131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72763
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject76D27; 35K65; 49J40
dc.titleThe Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary
dc.typetext

Files

Collections

arXiv