%0 Journal Article
%T 一类凸曲线流在Ros等周不等式中的应用<br>The Application of a Kind of Convex Curve Flows to Rose Isoperimetric Inequalities
%A 陈晓
%J Pure Mathematics
%P 56-62
%@ 2160-7605
%D 2025
%I Hans Publishing
%R 10.12677/pm.2025.153076
%X 通过平面中一类面积非减的凸曲线流&#65292;曲线在发展过程中保持凸性不变&#65292;具有全局存在性&#65292;且当时间趋于无穷大时&#65292;曲线在<i>C</i><sup>0</sup>范数下收敛到圆。我们建立该曲线流的单调公式&#65292;给出了平面上Ros等周不等式新的证明。<br>By convex curve flow with non-decreasing area in the plane, the curve remains convex and exists globally, and the evolving curve converges to a circle as the time goes to infinity. A new proof of the plane Rose isoperimetric inequalities is given by establishing the monotone formulas along the curve flow.
%K 凸曲线流&#65292
%K Ros等周不等式&#65292
%K 单调公式<br>Convex Curve Flow
%K Ros Isoperimetric Inequalities
%K Monotone Formulas
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=109042