Uniform blow-up profiles and boundary layer for a parabolic system with localized sources |
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| Authors: | Jun Zhou Chunlai Mu |
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| Affiliation: | 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China;2. School of Mathematics and Physics, Chongqing University, Chongqing, 400044, PR China |
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| Abstract: | This paper deals with the Dirichlet problem for a parabolic system with localized sources. We first obtain some sufficient conditions for blow-up in finite time, and then deal with the possibilities of simultaneous blow-up under suitable assumptions. Moreover, when simultaneous blow-up occurs, we also establish the uniform blow-up profiles in the interior and estimate the boundary layer. |
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| Keywords: | 35K57 35K60 35B40 |
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