Exponential stability of a traveling wave for an area preserving curvature motion with two endpoints moving freely on a line

Masahiko Shimojo, Takashi Kagaya

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

The asymptotic behavior of solutions to an area-preserving curvature flow of planar curves in the upper half plane is investigated. Two endpoints of the curve slide along the horizontal axis with prescribed fixed contact angles. First, by establishing an isoperimetric inequality, we prove the global existence of the solution. We then study the asymptotic behavior of solutions with concave initial data near a traveling wave.

本文言語英語
ページ(範囲)109-134
ページ数26
ジャーナルAsymptotic Analysis
96
2
DOI
出版ステータス出版済み - 1 7 2016
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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