Simultaneous and non-simultaneous blow-up and uniform blow-up profiles for reaction-diffusion system

Abstract

This article concerns the blow-up solutions of a reaction-diffusion system with nonlocal sources, subject to the homogeneous Dirichlet boundary conditions. The criteria used to identify simultaneous and non-simultaneous blow-up of solutions by using the parameters p and q in the model are proposed. Also, the uniform blow-up profiles in the interior domain are established.

Keywords

• Simultaneous and non-simultaneous blow-up
• uniform blow-up profile
• reaction-diffusion system
• nonlocal sources