LINKING ANISOTROPIC SHARP AND DIFFUSE SURFACE MOTION LAWS VIA GRADIENT FLOWS

被引：152

作者：

TAYLOR, JE ^{[1
]}

CAHN, JW ^{[1
]}

机构：

[1] NIST,MAT SCI & ENGN LAB,GAITHERSBURG,MD 20899

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 77卷 / 1-2期

关键词：

GRADIENT FLOWS; INNER PRODUCTS; MORPHOLOGY; MOTION BY CURVATURE; MOTION BY LAPLACIAN OF CURVATURE; PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS; SURFACE DIFFUSION; WEIGHTED MEAN CURVATURE; CAHN-HILLIARD EQUATION; ALLEN-CAHN EQUATION; SHARP INTERFACES; DIFFUSE INTERFACES; ANISOTROPY; PHASE FIELD;

D O I：

10.1007/BF02186838

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compare four surface motion laws for sharp surfaces with their diffuse interface counterparts by means of gradient flows on corresponding energy functionals. The energy functionals can be defined to give the same dependence on normal direction for the energy of sharp plane surfaces as for their diffuse counterparts. The anisotropy of the kinetics can be incorporated into the inner product without affecting the energy functional.

引用

页码：183 / 197

页数：15

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