Critical curves of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions |
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Authors: | Zejian Cui |
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Institution: | Department of Mathematics, China West Normal University, Nanchong 637002, PR China |
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Abstract: | In this paper, we consider the existence and non-existence of global solutions of the non-Newtonian polytropic filtration equations with nonlinear boundary conditions. We first obtain the critical global existence curve by constructing various self-similar supersolutions and subsolutions. And then the critical Fujita curve is conjectured with the aid of some new results. |
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Keywords: | 35K50 35K55 35K65 35B33 |
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