Instability of stationary solutions for equations of curvature-driven motion of curves |
| |
| Authors: | Shin-Ichiro Ei Eiji Yanagida |
| |
| Affiliation: | (1) Graduate School of Integrated Science, Yokohama City University, 236 Yokohama, Japan;(2) Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Meguro-ku, 152 Tokyo, Japan |
| |
| Abstract: | A study is made for equations of evolving curves on a two-dimensional square domain . It is assumed that a curve moves depending on its curvature, normal vector, and position and is orthogonal to at its end points. Under some conditions, instability of stationary solutions is proved through an eigenvalue analysis. |
| |
| Keywords: | Instability stationary solutions curvature-driven motion of curves eigenvalue analysis |
| 本文献已被 SpringerLink 等数据库收录！ |
|
