MOTION BY CURVATURE BY SCALING NONLOCAL EVOLUTION-EQUATIONS

被引：43

作者：

DEMASI, A

ORLANDI, E

PRESUTTI, E

TRIOLO, L

机构：

[1] UNIV LAQUILA,DIPARTIMENTO MATEMAT,I-67100 LAQUILA,ITALY

[2] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 73卷 / 3-4期

关键词：

PHASE SEPARATION; INTERFACE DYNAMICS;

D O I：

10.1007/BF01054339

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove convergence to a motion by mean curvature by scaling diffusively a nonlinear, nonlocal evolution equation. This equation was introduced earlier to describe the macroscopic behavior of a ferromagnetic spin system with Kac interaction which evolves with Glauber dynamics. The convergence is proven in any time interval in which the limiting motion is regular.

引用

页码：543 / 570

页数：28

共 29 条

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[2]

BONAVENTURA L, 1992, UTM368 DIP MAT TRENT

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