A REGULARIZED EQUATION FOR ANISOTROPIC MOTION-BY-CURVATURE

被引：92

作者：

DICARLO, A

GURTIN, ME

PODIOGUIDUGLI, P

机构：

[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO INGN CIVILE EDILE,ROME,ITALY

[2] CARNEGIE MELLON UNIV,DEPT MATH,PITTSBURGH,PA 15213

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 04期

关键词：

PHASE TRANSITIONS; MOTION-BY-CURVATURE;

D O I：

10.1137/0152065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For realistic interfacial energies, the equations of anisotropic motion-by-curvature exhibit backward-parabolic behavior over portions of their domain, thereby inducing phenomena such as the formation of facets and wrinkles. In this paper, a physically consistent regularized equation that may be used to analyze such phenomena is derived.

引用

页码：1111 / 1119

页数：9

共 24 条

[1]

ABRESCH U, 1986, J DIFFER GEOM, V23, P175

[2] MICROSCOPIC THEORY FOR ANTIPHASE BOUNDARY MOTION AND ITS APPLICATION TO ANTIPHASE DOMAIN COARSENING [J].