Abstract
In this paper, we consider a new length preserving curve flow for closed convex curves in the plane. We show that the flow exists globally, the area of the region bounded by the evolving curve is increasing, and the evolving curve converges to the circle in C ∞ topology as t → ∞.
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The research is partially supported by the National Natural Science Foundation of China 10631020 and SRFDP 20090002110019.
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Ma, L., Zhu, A. On a length preserving curve flow. Monatsh Math 165, 57–78 (2012). https://doi.org/10.1007/s00605-011-0302-8
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DOI: https://doi.org/10.1007/s00605-011-0302-8