2 papers
math.AP2018
Short Time Existence for the Curve Diffusion Flow with a Contact Angle
Helmut Abels, Julia Butz
We show short-time existence for curves driven by curve diffusion flow with a prescribed contact angle : The evolving curve has free boundary points, which are support…
math.AP2018
A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle
Helmut Abels, Julia Butz
We prove a blow-up criterion in terms of an -bound of the curvature for solutions to the curve diffusion flow if the maximal time of existence is finite. In our setting, we co…