Sharp Interface Limit for a Quasi-linear Large Deviation Rate Function

被引：0
作者：
Kagaya, Takashi [1 ]
Tsunoda, Kenkichi [2 ]
机构：
[1] Muroran Inst Technol, Grad Sch Engn, 27-1 Mizumoto Cho, Muroran, Hokkaido 0508585, Japan
[2] Kyushu Univ, Fac Math, 744 Motooka,Nishi Ku, Fukuoka 8190395, Japan
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2024年 / 27卷 / 04期
基金：
日本学术振兴会;
关键词：
Sharp interface limit; Reaction-diffusion equation; Motion by mean curvature; Large deviations; Secondly; MOTION; PROPAGATION; EQUATION;
D O I：
10.1007/s11040-024-09491-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the sharp interface limit, leading to a mean curvature flow energy, for the rate function of the large deviation principle of a Glauber+Kawasaki process with speed change. We provide an explicit formula of the limiting functional given by the mobility and the transport coefficient.
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页数：37
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