Abstract
We shall apply certain inequalities by Andrews and Green-Osher to area-preserving and length-preserving flows of convex plane curves and show that, if we have bound on the curvature, the evolving curves will converge to a round circle.
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Both authors are supported by NCTS and NSC of Taiwan.
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Lin, YC., Tsai, DH. Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves. J. Evol. Equ. 12, 833–854 (2012). https://doi.org/10.1007/s00028-012-0157-z
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DOI: https://doi.org/10.1007/s00028-012-0157-z