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Criticality dependence on data and parameters for a problem in combustion theory, with temperature-dependent conductivity

Published online by Cambridge University Press:  17 February 2009

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

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A problem in combustion theory with tenperature-dependent conductivity is considered. It is shown that information regarding criticality dependence on data and parameters can be obtained from a transformed equation in which the conductivity is constant, while the nonlinear source term is modified. Some previous work can then be used in such a study.

Type
Research Article
Information
The ANZIAM Journal , Volume 31 , Issue 1 , July 1989 , pp. 76 - 80
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Frank-Kamenetskii, D. A., Diffusion and heat transfer in chemical kinetics (Translat. editor Appleton, J. P.), (Plenum Press, New York, 1959).Google Scholar
[2]Lacey, A. A. and Wake, G. C., “Thermal ignition with variable thermal conductivity”, IMA J. Appl. Math. 28 (1982) 23–39.CrossRefGoogle Scholar
[3]Morse, P. M. and Feshbach, H., Methods of Theoretical Physics (McGraw-Hill, New York, 1953).Google Scholar
[4]Tam, K. K.. “Criticality dependence on data and parameters for a problem in combustion theory”, J. Austral. Math. Soc. Ser. B 27 (1986) 426–441.CrossRefGoogle Scholar
[5]Zaturska, M. B. and Banks, W. H. H., “Thermal explosion with variable thermal conductivity: criticality and its disappearance”, IMA J. Appl. Math. 34 (1985) 73–82.CrossRefGoogle Scholar