GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR INTERFACE EQUATIONS COUPLED WITH DIFFUSION-EQUATIONS

被引：20

作者：

GIGA, Y

GOTO, S

ISHII, H

机构：

[1] KYUSHU UNIV 36,FAC ENGN,DEPT APPL SCI,FUKUOKA 812,JAPAN

[2] CHUO UNIV,DEPT MATH,BUNKYO KU,TOKYO 112,JAPAN

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 04期

关键词：

INTERFACE EQUATION WITH DIFFUSION EQUATION; GLOBAL EXISTENCE; VISCOSITY SOLUTION;

D O I：

10.1137/0523043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A weak formulation for an interface dynamics coupled with a diffusion equation is introduced. A global-in-time weak solution is constructed for an arbitrary initial data under a periodic boundary condition. The result applies to the interface equation obtained as a certain singular limit of some reaction-diffusion systems including the activator-inhibitor model.

引用

页码：821 / 835

页数：15

共 30 条

[1] MULTIDIMENSIONAL NON-LINEAR DIFFUSION ARISING IN POPULATION-GENETICS [J].