潘生亮教授专题学术报告:On A Non-local Contracting Flow For Closed Convex Plane Curves
2010-06-09 来源:数学科学研究中心活动地点:
活动类型:学术报告
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潘生亮教授专题学术报告:On A Non-local Contracting Flow For Closed Convex Plane Curves
报告人:潘生亮教授(同济大学数学系)
报告题目:On A Non-local Contracting Flow For Closed Convex Plane Curves
报告时间:2010年6月11日(星期五)上午10:00开始
报告地点:数学中心201教室
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Abstract:
The aim of this talk is to present a new evolution problem for convex
plane curves which is determined by both local (curvature $\kappa$ )
and global (area $A$) geometric quantities of the evolving curve. This
flow will decrease both the perimeter of the evolving curve and the area
it bounds and make the evolving curve more and more circular during the
evolution process. And finally, as $t$ goes to infinity, the limiting curve
will be a circle in the $C^{\infty}$ metric.