Homogenization of a Hamilton-Jacobi equation associated with the geometric motion of an interface

被引：11

作者：

Craciun, B

Bhattacharya, K

机构：

[1] Synopsys, Mountain View, CA 94043 USA

[2] CALTECH, Div Engn & Appl Sci, Pasadena, CA 91125 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2003年 / 133卷

关键词：

D O I：

10.1017/S0308210500002675

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the overall evolution of fronts propagating with a normal velocity that depends on position, v(n) = f(x), where f is rapidly oscillating and periodic. A level-set formulation is used to rewrite this problem as the periodic homogenization of a Hamilton-Jacobi equation. The paper presents a series of variational characterization (formulae) of the effective Hamiltonian or effective normal velocity. It also examines the situation when f changes sign.

引用

页码：773 / 805

页数：33