Asymptotics of Hele-Shaw flows with multiple point sources
Published online by Cambridge University Press: 08 December 2010
Abstract
We study the asymptotic behaviour of a Hele-Shaw flow produced by the injection of fluid from a finite number of points at different speeds. We prove that, as time tends to infinity, the boundary of the fluid domain approaches the circle centred at the barycentre of the injection points with weights proportional to the injection rates. The distances from the barycentre to the boundary points are estimated from both above and below.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 6 , December 2010 , pp. 1217 - 1247
- Copyright
- Copyright © Royal Society of Edinburgh 2010
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