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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