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arXiv · 1211.6499

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

Maan A. Rasheed·Miroslav Chlebik
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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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Maan A. Rasheed, Miroslav Chlebik. 2012-11-28. On Blow-up of A Reaction Diffusion System Coupled in Both Equations and Boundary Conditions. https://arxiv.org/abs/1211.6499

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