The Blow-up Property for a Reaction-Diffusion System with Nonlocal Sources
Qi Lin LIUYu Xiang LIHong Ju
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Qi Lin LIU Institute of Mathematics and Computer Science of Nanjing Normal University, Nanjing 210097, P. R. China Yu Xiang LI Department of Mathematics, Southeast University, Nanjing 210096, P. R. China Hong Jun GAO Institute of Mathematics and Computer Science of Nanjing Normal University, Nanjing 210097, F. R. China
This paper deals with the blow-up property of positive solution for a reaction diffusion system ut(x,t) =△u(x,t) + vκ(x,t)up(0,t), vt(x,t) =△v(x,t) + uβ(x,t)vq(0,t), with null Dirichlet boundary conditions. The blow up set and blowup rates are obtained.
Qi Lin LIUYu Xiang LIHong Ju.
The Blow-up Property for a Reaction-Diffusion System with Nonlocal Sources. Acta Mathematica Sinica, Chinese Series, 2006, 49(4): 869-882 https://doi.org/10.12386/A2006sxxb0108
