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.

中文翻译：

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曲率偏差与等压比之间的插值不等式在保长流中的应用

在Nagasawa及其作者的最新工作中，证明了曲率偏差与等长比之间的新插值不等式。在本文中，我们采用这种估计来研究不带凸度假设的闭合平面曲线的保长流的长时间行为。