Premium
Length‐preserving evolution of non‐simple symmetric plane curves
Author(s) -
Wang Xiaoliu,
Wo Weifeng
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2837
Subject(s) - mathematics , simple (philosophy) , plane (geometry) , regular polygon , plane curve , flow (mathematics) , jordan curve theorem , mathematical analysis , geometry , pure mathematics , philosophy , epistemology
The length‐preserving nonlocal flow in the plane is investigated for locally convex closed curves, which may be non‐simple. It turns out that for certain classes of symmetric curves, the flows converge to m ‐fold circles. Copyright © 2013 John Wiley & Sons, Ltd.