Length‐preserving evolution of non‐simple symmetric plane curves |
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| Authors: | Xiaoliu Wang Weifeng Wo |
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| Institution: | 1. Department of Mathematics, Southeast University, , Nanjing, 210096 China;2. Department of Mathematics, Ningbo University, , Ningbo, 315211 China |
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| Abstract: | 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. |
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| Keywords: | curvature flow nonlocal parabolic equation length preserving asymptotic behavior |
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