On Blow-up of A Reaction Diffusion System Coupled in Both Equations and Boundary Conditions

2012/11/28 by Maan A. Rasheed, Rasheed, Maan A., Miroslav Chlebík +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1211.6499

openalex publication_date 2012/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the blow up solutions of a semilinear reaction diffusion system coupled in both equations and boundary conditions. The main purpose is to understand how the reaction terms and the absorption terms affect the blow-up properties. We derive the lower and upper bound for the blow-up rate, and find the blow-up set under certain assumptions.

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