Electron. J. Diff. Equ., Vol. 2012 (2012), No. 206, pp. 1-9.

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

Zhengqiu Ling, Zejia Wang

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.

Submitted August 6, 2012. Published November 24, 2012.
Math Subject Classifications: 35B33, 35B40, 35K55, 35K57.
Key Words: Simultaneous and non-simultaneous blow-up; uniform blow-up profile; reaction-diffusion system; nonlocal sources.

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Zhengqiu Ling
Institute of Mathematics and Information Science
Yulin Normal University
Yulin 537000, China
email: lingzq00@tom.com
Zejia Wang
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang 330022, China
email: wangzj1979@gmail.com

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