Electron. J. Diff. Eqns., Vol. 2009(2009), No. 60, pp. 1-14.

A combustion model with unbounded thermal conductivity and reactant diffusivity in non-smooth domains

Sikiru Adigun Sanni

Abstract:
In this article, we present a strongly coupled quasilinear parabolic combustion model with unbounded thermal conductivity and reactant diffusivity in arbitrary non-smooth domains. A priori estimates are obtained, and the existence of a unique global strong solution is proved using a Banach fixed point theorem.

Submitted June 25, 2008. Published May 4, 2009.
Math Subject Classifications: 35B40, 35K57, 80A25.
Key Words: Combustion model; reactant diffusivity; thermal conductivity; Banach fixed point theorem.

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Sikiru Adigun Sanni
Department of Mathematics, University of Uyo
Uyo, Akwa Ibom State, Nigeria
email: sikirusanni@yahoo.com

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