Mathematics – Analysis of PDEs
Scientific paper
2010-10-20
Mathematics
Analysis of PDEs
24 pages
Scientific paper
We study the long-time behavior of an exterior Hele-Shaw problem in random media with a free boundary velocity that depends on position in dimensions $n \geq 2$. A natural rescaling of solutions that is compatible with the evolution of the free boundary leads to homogenization of the free boundary velocity. By studying a limit obstacle problem for a Hele-Shaw system with a point source, we are able to show uniform convergence of the rescaled solution to a self-similar limit profile and we deduce that the rescaled free boundary uniformly approaches a sphere.
No associations
LandOfFree
Long-time behavior of a Hele-Shaw type problem in random media 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 Long-time behavior of a Hele-Shaw type problem in random media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long-time behavior of a Hele-Shaw type problem in random media will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-717408