Global existence and blow-up analysis for a nonlinear diffusion equation with inner absorption and boundary flux |
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| Authors: | Zhongping Li Chunlai Mu |
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| Affiliation: | 1. College of Mathematics and Statistics , Chongqing University , Chongqing 400044, P.R. China;2. College of Mathematics and Information , China West Normal University , Nanchong 637002, P.R. China |
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| Abstract: | This article deals with a nonlinear diffusion equation with inner absorption u t ?=?(logσ(1?+?u)u x ) x ???λ(1?+?u)log p (1?+?u), in ?+?×?(0,?+∞), subject to a logarithmic boundary flux ? logσ(1?+?u)u x (0,?t)?=?(1?+?u)log q (1?+?u)(0,?t), t?∈?(0,?+∞). We establish the critical global existence curve and give the asymptotic behaviour close to the blow-up time. |
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| Keywords: | global existence blow-up asymptotic behaviour inner absorption boundary flux |
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