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Critical curves for fast diffusive non-Newtonian equations coupled via nonlinear boundary flux
Authors:Zhongping Li  Chunlai Mu
Institution:aDepartment of Mathematics, China West Normal University, Nanchong 637002, PR China;bCollege of Mathematics and Physics, Chongqing University, Chongqing 400044, PR China
Abstract:This paper deals with the critical curve for a nonlinear boundary value problem of a fast diffusive non-Newtonian system. We first obtain the critical global existence curve by constructing the self-similar supersolution and subsolution. And then the critical Fujita curve is conjectured with the aid of some new results.
Keywords:Critical curve  Fast diffusive non-Newtonian equation  Nonlinear boundary flux  Blow-up
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