An application of interpolation inequalities between the deviation of curvature and the isoperimetric ratio to the length-preserving flow

Abstract

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.

13 pages. arXiv admin note: text overlap with arXiv:1811.10164