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The response to a hot spot in a combustion problem

Published online by Cambridge University Press:  17 February 2009

K. K. Tam and
M. T. Kiang
K. K. Tam
Affiliation:
Mathematics Department, McGill University, Montreal, Quebec, Canada
M. T. Kiang
Affiliation:
Mathematics Department, St. Mary's University, Halifax, Canada
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Abstract

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A simple model for a problem in combustion theory has multiple steady state solutions when a parameter is in a certain range. This note deals with the initial value problem when the initial temperature takes the form of a hot spot. Estimates on the extent and temperature of the spot for the steady state solution to be super-critical are obtained.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 23 , Issue 1 , July 1981, pp. 95 - 102
Copyright
Copyright © Australian Mathematical Society 1981

References

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