Convergence to equilibrium of gradient flows defined on planar curves

Matteo Novaga, Shinya Okabe

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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
Issue number733
Publication statusPublished - 2017


Dive into the research topics of 'Convergence to equilibrium of gradient flows defined on planar curves'. Together they form a unique fingerprint.

Cite this