THE THERMISTOR PROBLEM FOR CONDUCTIVITY WHICH VANISHES AT LARGE TEMPERATURE

被引：15

作者：

CHEN, XF

FRIEDMAN, A

机构：

[1] Univ of Minnesota, Minneapolis, MN

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1993年 / 51卷 / 01期

关键词：

D O I：

10.1090/qam/1205940

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The thermistor problem is modeled as a coupled system of nonlinear elliptic equations. When the conductivity coefficient sigma(u) vanishes (u = temperature) one of the equations becomes degenerate; this situation is considered in the present paper. We establish the existence of a weak solution and, under some special Dirichlet and Neumann boundary conditions, analyze the structure of the set {sigma(u) = 0} and also prove uniqueness.

引用

页码：101 / 115

页数：15

共 11 条

[1]

Bass J., 1982, THERMOELASTICITY

[2] A BOUND FOR THE TEMPERATURE IN THE THERMISTOR PROBLEM [J].