MOTION BY CURVATURE BY SCALING NONLOCAL EVOLUTION-EQUATIONS

Authors
DEMASI A ORLANDI E PRESUTTI E TRIOLO L
Citation
A. Demasi et al., MOTION BY CURVATURE BY SCALING NONLOCAL EVOLUTION-EQUATIONS, Journal of statistical physics, 73(3-4), 1993, pp. 543-570
Citations number
29
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
73
Issue
3-4
Year of publication
1993
Pages
543 - 570
Database
ISI
SICI code
0022-4715(1993)73:3-4<543:MBCBSN>2.0.ZU;2-Z
Abstract
We prove convergence to a motion by mean curvature by scaling diffusiv ely a nonlinear, nonlocal evolution equation. This equation was introd uced earlier to describe the macroscopic behavior of a ferromagnetic s pin system with Kac interaction which evolves with Glauber dynamics. T he convergence is proven in any time interval in which the limiting mo tion is regular.