Department of Mathematics, Statistics and Computer Science
University of Uyo, Uyo, Akwa Ibom State, Nigeria
email: sikirusanni@yahoo.com
Sikiru Adigun Sanni
Abstract:
A system of non-linear partial differential equations describing
one-step irreversible reaction, reactant to product,
in a non-stationary medium and non-smooth domain is considered.
After obtaining the necessary a priori estimates, the existence
of a unique local strong solution to the system is proved using
a fixed point theorem.
Submitted November 27, 2009. Published May 21, 2010.
Math Subject Classifications: 35B40, 35K57, 80A25.
Key Words: Irreversible reaction; reactant diffusivity;
thermal conductivity; a priori estimates;
Banach's fixed point theorem.
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Sikiru Adigun Sanni Department of Mathematics, Statistics and Computer Science University of Uyo, Uyo, Akwa Ibom State, Nigeria email: sikirusanni@yahoo.com |
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