Blow-up Properties of a Coupled System of Reaction-Diffusion Equations

  • Maan A. Rasheed Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq
Keywords: Reaction-diffusion system, Ignition system, Dirichlet boundary conditions, Blow-up set, Blow-up rate estimate

Abstract

    This paper is concerned with a Coupled Reaction-diffusion system defined in a ball with homogeneous Dirichlet boundary conditions. Firstly, we studied the blow-up set showing that, under some conditions, the blow-up in this problem occurs only at a single point. Secondly, under some restricted assumptions on the reaction terms, we established the upper (lower) blow-up rate estimates. Finally, we considered the Ignition system in general dimensional space as an application to our results.

Published
2021-09-30
How to Cite
Rasheed, M. A. (2021). Blow-up Properties of a Coupled System of Reaction-Diffusion Equations. Iraqi Journal of Science, 62(9), 3052-3060. https://doi.org/10.24996/ijs.2021.62.9.20
Section
Mathematics