Sikiru Adigun Sanni
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
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