A curvature flow in the plane with a nonlocal term
classification
🧮 math.AP
math.DG
keywords
flowcurvaturetermasymptoticscapacityconditionconvexitycurve
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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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