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

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

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...

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Bibliographic Details
Main Author: Sikiru Adigun Sanni
Format: Article
Language:English
Published: Texas State University 2009-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Combustion model
reactant diffusivity
thermal conductivity
Banach fixed point theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2009/60/abstr.html
Description
Summary: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.
ISSN:1072-6691

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