Paper · Oct 13, 2017
A curvature flow in the plane with a nonlocal term
As on arXiv
Abstract
We study the geometric flow of a planar curve driven by its curvature and the normal derivative of its capacity potential. Under a convexity condition that is natural to our problem, we establish long term existence and large time asymptotics of this flow.
- Submitted
- Oct 13, 2017
- Subjects
- math.AP, math.DG
Comments: 9 pages
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