INTERACTING PARTICLE-SYSTEMS AND GENERALIZED EVOLUTION OF FRONTS

被引：34

作者：

KATSOULAKIS, MA ^{[1
]}

SOUGANIDIS, PE ^{[1
]}

机构：

[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1994年 / 127卷 / 02期

关键词：

D O I：

10.1007/BF00377658

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the limiting behavior (the macroscopic limit) of an appropriately scaled spin system with Glauber-Kawasaki dynamics. We rigorously establish the existence in the limit of an interface evolving according to motion by mean curvature. This limit is valid for all positive times, past possible geometric singularities of the motion, which is interpreted in the viscosity sense.

引用

页码：133 / 157

页数：25

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