PHASE-TRANSITIONS AND GENERALIZED MOTION BY MEAN-CURVATURE

被引：406

作者：

EVANS, LC

SONER, HM

SOUGANIDIS, PE

机构：

[1] CARNEGIE MELLON UNIV,PITTSBURGH,PA 15213

[2] BROWN UNIV,PROVIDENCE,RI 02912

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1992年 / 45卷 / 09期

关键词：

D O I：

10.1002/cpa.3160450903

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the limiting behavior of solutions to appropriately rescaled versions of the Allen-Cahn equation, a simplified model for dynamic phase transitions. We rigorously establish the existence in the limit of a phase-antiphase interface evolving according to mean curvature motion. This assertion is valid for all positive time, the motion interpreted in the generalized sense of Evans-Spruck and Chen-Giga-Goto after the onset of geometric singularities.

引用

页码：1097 / 1123

页数：27