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Criticality dependence on data and parameters for a problem in combustion theory

Published online by Cambridge University Press:  17 February 2009

K. K. Tam
K. K. Tam
Affiliation:
Department of Mathematics and Statistics, McGill University, Montreal, Quebec, CanadaH3A 2K6
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Abstract

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A central problem in the theory of combustion, consisting of a nonlinear parbolic equation together with initial and boundary conditions, is considered. The influence of the initial and boundary data examined. In the main part of the study, a two-step linearization is developed such that the interesting features of the original problem are given by the solution of a non-liner and ordinary differential equation. Approximate solutions are obtained and upper and lower solutions are used to assess the validity of the approximations. Whenever possible, results are compared with those obtained previously and there is good agreement in all cases.

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 4 , April 1986 , pp. 416 - 441
Copyright
Copyright © Australian Mathematical Society 1986

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