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Abstract

This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the lower and upper blow-up rate estimates are derived. Moreover, the blow-up set under some restricted assumptions is studied.

Keywords

Blow-up rate estimate; Blow-up set; Comparison principle; Radial function; Reaction-Diffusion equation

Article Type

Article

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