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Critical curves for fast diffusive non-Newtonian equations coupled via nonlinear boundary flux. (English) Zbl 1139.35355
Summary: 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.
MSC:
35K50Systems of parabolic equations, boundary value problems (MSC2000)
35K55Nonlinear parabolic equations
35B33Critical exponents (PDE)