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On the influence of the initial data in a combustion problem

Published online by Cambridge University Press:  17 February 2009

K. K. Tam
K. K. Tam
Affiliation:
Department of Mathematics, McGill University, Montreal Quebec H3C 3G1, Canada
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Abstract

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The combustion of a material can be modelled by two coupled parabolic partial differential equations for the temperature and concentration of the material. This paper deals with properties of the solution of these equations inside a cylinder or a sphere and under given initial conditions. Bounds for the variation of the temperature with the initial conditions are first established by considering a decoupled form of the equations. Then the coupled system is used to obtain approximate expressions for the temporal evolution of temperature and concentration.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 2 , October 1980, pp. 193 - 209
Copyright
Copyright © Australian Mathematical Society 1980

References

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