Semilinear elliptic boundary-value problems in combustion theory

被引：2
|
作者：
Taira, K [1 ]
机构：
[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2002年 / 132卷
关键词：
D O I：
10.1017/S0308210500002201
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of semilinear degenerate elliptic boundary-value problems arising in combustion theory that obey a general Arrhenius equation and a general Newton law of heat exchange. We prove that ignition and extinction phenomena occur in the stable steady temperature profile at some critical values of a dimensionless rate of heat production.
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页码：1453 / 1476
页数：24
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