The critical curve for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux |
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| Authors: | Jun Zhou Chunlai Mu |
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| Institution: | 1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, PR China;2. College of Mathematics and Physics, Chongqing University, Chongqing, 400044, PR China |
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| Abstract: | This paper deals with the critical curve of the non-Newtonian polytropic filtration equation coupled via nonlinear boundary flux. The critical global existence curve is obtained by constructing various self-similar supersolutions and subsolutions. Furthermore, we get some new results on the critical Fujita curve. |
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| Keywords: | 35K50 35K55 35K65 35B33 |
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