Global stability of traveling waves for an area preserving curvature flow with contact angle condition

Research output: Contribution to journalArticlepeer-review

Abstract

We consider an evolving plane curve with two endpoints that can move freely on the x-axis with generating constant contact angles. We discuss the asymptotic behavior of global-in-time solutions when the evolution of this plane curve is governed by the area-preserving curvature flow equation. The main result shows that any moving curve converges to a traveling wave if the moving curve starts from an embedded convex curve and remains bounded in global time.

Original languageEnglish
Pages (from-to)3489-3514
Number of pages26
JournalJournal of Differential Equations
Volume269
Issue number4
DOIs
Publication statusPublished - Aug 5 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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