Convergence to equilibrium of gradient flows defined on planar curves

Matteo Novaga, Shinya Okabe

研究成果: Article

4 引用 (Scopus)

抜粋

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.

元の言語English
ジャーナルJournal fur die Reine und Angewandte Mathematik
2017
発行部数733
DOI
出版物ステータスPublished - 2017 1 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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