A comparison theorem for crystalline evolution in the plane

A comparison theorem for crystalline evolution in the plane
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平面晶体演化的比较定理

DOI:
10.1090/qam/1417236
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发表时间:
1994
影响因子:
0.7
通讯作者:
M. Gurtin
M. Gurtin
中科院分区:
生物学4区
文献类型:
--
作者:
Y. Giga;M. Gurtin

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1.引言。晶体表面通常被赋予能量,其对取向n(外向单位法线)的依赖在有限的取向集合M处表现出“低能量尖点”;1这样的能量导致完全小面的晶体形状,小面的取向是取向n G Af。这种晶体平面演化的一种可能模型2是基于法向速度Vi(T)和结晶曲率之间的演化方程
1. Introduction. Crystal surfaces are often endowed with energies whose dependence on orientation n (outward unit normal) displays" low energy cusps" at a finite set M of orientations; 1 such energies lead to crystal shapes that are fully faceted, the orientations of the facets being the orientations n G Af. A possible model2 for the planar evolution of such crystals is based on an evolution equation relating the normal velocity Vi (t) and crystalline curvature
广义平均曲率流
DOI: --
发表时间: 2021
期刊:
影响因子: --
作者:
M. Sakano;M. Hirayama;T. Takahashi;S. Akebi;M. Nakayama;K. Kuroda;K. Taguchi;T. Yoshikawa;K. Miyamoto;T. Okuda;K. Ono;H. Kumigashira;T. Ideue;Y. Iwasa;N. Mitsuishi;K. Ishizaka;S. Shin;T. Miyake;S. Murakami;T. Sasagawa;and Takeshi Kondo;Yoshihiro Tonegawa
通讯作者: Yoshihiro Tonegawa