曲率偏差与等周比之间的插值不等式及其在几何流中的应用

IF 1.5 3区数学 Q1 MATHEMATICS

Advances in Differential Equations Pub Date : 2018-11-26 DOI:10.57262/ade/1565661673

Takeyuki Nagasawa, Kohei Nakamura

引用次数: 5

摘要

导出了平面曲线等周比的几个不等式。特别地，我们得到了曲率偏差与等周比之间的插值不等式。作为应用，我们研究了一些不带凸性假设的闭平面曲线几何流的大时间特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows

Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoperimetric ratio. As applications, we study the large-time behavior of some geometric flows of closed plane curves without a convexity assumption.

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来源期刊

Advances in Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Differential Equations will publish carefully selected, longer research papers on mathematical aspects of differential equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new and non-trivial. Emphasis will be placed on papers that are judged to be specially timely, and of interest to a substantial number of mathematicians working in this area.