Existence of Non-convex Traveling Waves for Surface Diffusion of Curves with Constant Contact Angles

Takashi Kagaya, Yoshihito Kohsaka

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

The traveling waves for surface diffusion of plane curves are studied. We consider an evolving plane curve with two endpoints which can move freely on the x-axis with generating constant contact angles. For the evolution of this plane curve governed by surface diffusion, we discuss the existence, the uniqueness and the convexity of traveling waves. The main results show that the uniqueness and the convexity can be lost depending on the conditions of the contact angles, although the existence holds for any contact angles in the interval (0 , π/ 2).

本文言語英語
ページ(範囲)471-516
ページ数46
ジャーナルArchive for Rational Mechanics and Analysis
235
1
DOI
出版ステータス出版済み - 1 1 2020

All Science Journal Classification (ASJC) codes

  • 分析
  • 数学(その他)
  • 機械工学

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