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arXiv · 1710.04755

A curvature flow in the plane with a nonlocal term

Luis Caffarelli·Hui Yu
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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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Luis Caffarelli, Hui Yu. 2017-10-13. A curvature flow in the plane with a nonlocal term. https://arxiv.org/abs/1710.04755

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