Non-uniqueness of self-similar shrinking curves for an anisotropic curvature flow
Non-uniqueness of self-similar shrinking curves for an anisotropic curvature flow
复制标题
DOI：
10.1007/s00526-005-0357-2
复制
发表时间：
2006-01
影响因子：
2.1
通讯作者：
Hiroki Yagisita
中科院分区：
文献类型：
--
作者：
Hiroki Yagisita
本文考虑了平面上各向异性曲率流方程的自相似解。对于一些（非对称）的界面能，我们表明，存在一个自相似曲线，这是不是一个局部极小的熵下的面积约束。作为其结果，我们得到了各向异性流的自相似解的非唯一性。
In this paper, we consider self-similar solutions for an anisotropic curvature flow equation in the plane. For some (nonsymmetric) interfacial energy, we show that there exists a self-similar curve which is not a local minimizer of the entropy under the area constraint. As its result, we obtain non-uniqueness of self-similar solutions for the anisotropic flow.