Convergence to equilibrium of gradient flows defined on planar curves

Matteo Novaga, Shinya Okabe

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider the evolution of open planar curves by the steepest descent flow of a geometric functional, with 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.

Original languageEnglish
JournalJournal fur die Reine und Angewandte Mathematik
Volume2017
Issue number733
DOIs
Publication statusPublished - 2017 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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