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Initiation of thermal explosion by intense light: criticality dependence on data and parameters

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 model for thermal ignition by intense light is studied. The governing non-linear parabolic equation is linearized in a two-step manner with the aid of a non-linear ordinary differential equation which captures the salient features of the non-linear parabolic equation. The critical parameters are computed from the steady-state solution of the ordinary differential equation, which can be obtained without actually solving the equation. Comparison with available data shows that the present method yields good results.

Type
Research Article
Information
The ANZIAM Journal , Volume 28 , Issue 3 , January 1987 , pp. 287 - 295
Copyright
Copyright © Australian Mathematical Society 1987

References

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[4]Tam, K. K., “Criticality dependence on data and parameters for a problem in combustion theory”, J. Austral. Math. Soc. Ser. B. 27 (1986), 415–441.CrossRefGoogle Scholar