PDE Seminar Abstracts

The ideal curve flow with free boundary conditions

Yuhan Wu
University of Wollongong, Australia
Mon 3rd Sep 2018, 2-3pm, Carslaw Room 829 (AGR)

Abstract

We study small energy regular curves evolving under a particular sixth order curvature flow with generalized Neumann boundary conditions between parallel lines. The evolving curves are orthogonal to the boundary and satisfy a no-flux condition. We show that the curves converge exponentially in infinite time to straight lines.