Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number

Several non-local curvature flows for plane curves with a general rotation number are discussed in this work. The types of flows include the area-preserving flow and the length-preserving flow. We have a relatively good understanding of these flows for plane curves with the rotation number one. In p...

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Bibliographic Details
Main Authors: Takeyuki Nagasawa, Kohei Nakamura
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:Mathematics in Engineering
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/mine.2021047?viewType=HTML