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A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle

Abels, Helmut ; Butz, Julia



Abstract

We prove a blow-up criterion in terms of an L-2-bound of the curvature for solutions to the curve diffusion flow if the maximal time of existence is finite. In our setting, we consider an evolving family of curves driven by curve diffusion flow, which has free boundary points supported on a line. The evolving curve has a fixed contact angle alpha is an element of (0, pi) with that line and ...

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