Hydrodynamic limit for the Ginzburg-Landau delempty set interface model with a conservation law and Dirichlet boundary conditions

被引：2

作者：

Nishikawa, Takao ^{[1
]}

机构：

[1] Nihon Univ, Coll Sci & Technol, Dept Math, Chiyoda Ku, 1-8-14 Kanda Surugadai, Tokyo 1018308, Japan

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2017年 / 127卷 / 01期

关键词：

Ginzburg-Landau model; Effective interfaces; Massless fields;

D O I：

10.1016/j.spa.2016.06.007

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Hydrodynamic limit for the Ginzburg-Landau del empty set interface model with a conservation law was established in Nishikawa (2002) under periodic boundary conditions. This paper studies the same problem on a bounded domain imposing the Dirichlet boundary condition. A nonlinear partial differential equation of fourth order satisfying the boundary conditions is derived as the macroscopic equation. Its solution converges to the Wulff shape derived by Deuschel et al. (2000) as the time t -> infinity. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：228 / 272

页数：45

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