Published Paper
Inserted: 30 apr 2013
Last Updated: 10 nov 2018
Journal: J. Reine Angew. Math.
Volume: 733
Pages: 87-120
Year: 2017
Abstract:
We consider the evolution of open planar curves by the steepest descent flow of a geometric functional, under different boundary conditions. We prove that, if any set of stationary solutions with fixed energy is finite, then a solution of the flow converges to a stationary solution as time goes to infinity. We also present a few applications of this result.
Download: