Open AccessBlow-up Properties of a Coupled System of Reaction-Diffusion Equations
Author(s) -
Maan A. Rasheed
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.9.20
Subject(s) - reaction–diffusion system , ball (mathematics) , mathematics , dirichlet boundary condition , homogeneous , diffusion , mathematical analysis , space (punctuation) , point (geometry) , dirichlet distribution , boundary (topology) , boundary value problem , thermodynamics , physics , computer science , geometry , combinatorics , operating system
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.