On the bolw-up rate for fast bolw-up solutions arising in an anisotropic crystalline motion
On the bolw-up rate for fast bolw-up solutions arising in an anisotropic crystalline motion
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关于各向异性晶体运动中出现的快速爆破解的爆破率
DOI：
10.1016/s0377-0427(03)00556-9
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发表时间：
2003
影响因子：
2.4
通讯作者：
S. Yazaki
中科院分区：
文献类型：
--
作者：
T. Ishiwata;S. Yazaki
本文研究了平面内多边形凸曲线在晶曲率作用下运动的渐近性态。系统中自发地出现了两类奇点：一类是单点消光奇点，另一类是退化箍缩奇点。我们主要讨论了退化的pinching奇点，并给出了一个等价爆破问题的快速爆破解的精确爆破速率。
We consider the asymptotic behavior of motion of polygonal convex curves by crystalline curvature in the plane. There appear spontaneously two types of singularity: one is single point extinction and the other is degenerate pinching. We mainly discuss degenerate pinching singularity and show the exact blow-up rate for a fast blow-up solution which arises in an equivalent blow-up problem.