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数学物理学报(A辑) 2007
Blow-up Profiles to a Nonlocal Reaction-diffusion System
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Abstract:
This paper deals with a reaction-diffusion system with nonlocal sources.The au- thors first show that the solution blows up in finite time T if the initial data is large enough, then establish the estimates of the blow-up rates and the asymptotic behavior of the solution. Finally the size of the boundary layer is given.