An application of interpolation inequalities between the deviation of curvature and the isoperimetric ratio to the length-preserving flow
classification
🧮 math.AP
keywords
curvaturedeviationflowinequalitiesinterpolationisoperimetriclength-preservingratio
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In recent work of Nagasawa and the author, new interpolation inequalities between the deviation of curvature and the isoperimetric ratio were proved. In this paper, we apply such estimates to investigate the large-time behavior of the length-preserving flow of closed plane curves without a convexity assumption.
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