Snell's law in an isoperimetric setting

被引：0
|
作者：
Canete, Antonio [1 ]
机构：
[1] Univ Seville, Dept Matemat Aplicada 1, Seville, Spain
来源：
XVIII INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS | 2010年 / 1260卷
关键词：
Snell's law; isoperimetric problem; manifolds with density;
D O I：
暂无
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this work we focus on the isoperimetric problem in R-2 endowed with a piecewise constant density. We will see that the boundary of an isoperimetric solution is not a smooth curve in general, since some corners may appear according to a rule analogous to the Snell refraction law from Optics.
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收藏
页码：126 / 132
页数：7
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