A curvature flow in the plane with a nonlocal term

Published 13 Oct 2017 in math.AP and math.DG | (1710.04755v1)

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.

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