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