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Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension

Abels, Helmut ; Garcke, Harald ; Müller, Lars



Zusammenfassung

We show the short-time existence and uniqueness of solutions for the motion of an evolving hypersurface in contact with a solid container driven by the volume-preserving mean curvature flow (MCF) taking line tension effects on the boundary into account. Difficulties arise due to dynamic boundary conditions and due to the contact angle and the non-local nature of the resulting second order, ...

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