Stability of axisymmetric CMC surfaces as steady states for the evolution by surface diffusion
Stability of axisymmetric CMC surfaces as steady states for the evolution by surface diffusion
复制标题
轴对称 CMC 表面作为表面扩散演化稳态的稳定性
DOI：
10.1088/1742-6596/1141/1/012003
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Kohsaka Yoshihito
中科院分区：
文献类型：
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作者：
鴨川明子;市川桂;森下稔編著（川口純）;Kohsaka Yoshihito
表面扩散方程是几何演化定律之一，最初由 Mullins [6] 导出，用于模拟加热多晶晶界处表面凹槽的发展。众所周知，表面扩散方程是作为演化表面面积函数的 H-1 梯度流而获得的。由于这种变分结构，我们预计恒定平均曲率曲面（CMC 曲面）是该方程的稳态。本文借助表面扩散方程的线性化稳定性分析来研究轴对称CMC表面的稳定性判据。
The surface diffusion equation is one of the geometric evolution laws and was first derived by Mullins [6] to model the development of surface grooves at the grain boundaries of a heated polycrystal. It is known that the surface diffusion equation is obtained as the H-1-gradient flow of the area functional for the evolving surfaces. Owing to this variational structure, we expect that the constant mean curvature surfaces (CMC surfaces) are steady states for this equation. In this paper, the criteria of the stability of the axisymmetric CMC surfaces will be studied with the help of the linearized stability analysis of the surface diffusion equation.