Mathematics – Analysis of PDEs
Scientific paper
2004-10-06
Mathematics
Analysis of PDEs
28 pages, 4 figures, latex file - Corrections to the sixth section of the last version
Scientific paper
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 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.
Blank I. A.
Korten Marianne K.
Moore Cherles N.
No associations
LandOfFree
The Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-171070