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

Takashi Kagaya

研究成果: Contribution to journalArticle査読

抄録

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.

本文言語英語
ページ(範囲)3489-3514
ページ数26
ジャーナルJournal of Differential Equations
269
4
DOI
出版ステータス出版済み - 8 5 2020

All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

フィンガープリント

「Global stability of traveling waves for an area preserving curvature flow with contact angle condition」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル