Global existence and nonexistence for a doubly degenerate parabolic system coupled via nonlinear boundary flux |
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| Authors: | Chen BotaoMi Yongsheng Mu Chunlai |
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| Institution: | a College of Mathematics and Computer Sciences, Yangtze Normal University, Fuling 408100, China
b College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China |
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| Abstract: | This article deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve and the critical Fujita curve for the problem. Especially for the blow-up case, it is rather technical. It comes from the construction of the so-called Zel'dovich-Kompaneetz-Barenblatt profile. |
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| Keywords: | Critical global existence curve degenerate parabolic systems critical Fujita curve nonlinear boundary flux blow-up |
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