Uniform blow-up profiles and boundary layer for a parabolic system with nonlocal sources |
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Affiliation: | 1. Department of Mathematics, Nanjing XiaoZhuang College, Nanjing 210017, PR China;2. Department of Mathematics, Southeast University, Nanjing 210018, PR China |
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Abstract: | This paper deals with blow-up properties of positive solutions to semi-linear parabolic system with nonlocal sources, subject to null Dirichlet boundary conditions. We first obtain some sufficient conditions for blow-up in finite time and a necessary condition for the two components of the solution blow up simultaneously, and then establish uniform blow-up profiles in the interior and estimates of the boundary layer. |
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