J Austral Math Soc Ser B 33 pp16--26, 1991.

Porous medium combustion: ignition, temporal evolution, and parameter dependence

K. K. Tam

(Received 19 September 1989; revised 18 July 1990)

Abstract

A model for the combustion of a porous medium is considered for an infinite slab. The case of ignition by an initial temperature distribution is considered first. The influence of the initial data and parameters on the solution is inferred from the solution of a related ordinary differential equation. The case of ignition by heating on one side of the slab is then considered in the same manner.

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Author

K. K. Tam
Department of Mathematics and Statistics, McGill University, Montréal, Québec.

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