Blow-up Rate Estimates and Blow-up Set for a System of Two Heat Equations with Coupled Nonlinear Neumann Boundary Conditions

Authors

  • Maan A. Rasheed Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq
  • Miroslav Chlebik Department of Mathematics, School of Physical and Mathematical Sciences, University of Sussex, UK

DOI:

https://doi.org/10.24996/ijs.2020.61.1.17

Keywords:

Heat equation, Neumann boundary conditions, Blow-up set, Blow-up rate estimate, Green function

Abstract

This paper deals with the blow-up properties of positive solutions to a parabolic system of two heat equations, defined on a ball in  associated with coupled Neumann boundary conditions of exponential type. The upper bounds of blow-up rate estimates are derived. Moreover, it is proved that the blow-up in this problem can only occur on the boundary.

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Published

2020-01-27

Issue

Section

Mathematics

How to Cite

Blow-up Rate Estimates and Blow-up Set for a System of Two Heat Equations with Coupled Nonlinear Neumann Boundary Conditions. (2020). Iraqi Journal of Science, 61(1), 147-152. https://doi.org/10.24996/ijs.2020.61.1.17

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