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Semilinear elliptic boundary-value problems in combustion theory*
Published online by Cambridge University Press: 12 July 2007
Abstract
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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 6 , December 2002 , pp. 1453 - 1476
- Copyright
- Copyright © Royal Society of Edinburgh 2002
References
* Dedicated to the memory of Professor Osamu Miyamura.
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