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Zbl 1107.35318
Wang, Zejia; Yin, Jingxue; Wang, Chunpeng
Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition. (English)
[J] Appl. Math. Lett. 20, No. 2, 142-147 (2007). ISSN 0893-9659

Summary: This work is concerned with the critical exponent of the non-Newtonian polytropic filtration equation with nonlinear boundary conditions. We obtain the critical global existence exponent and critical Fujita exponent by constructing various self-similar supersolutions and subsolutions.

MSC 2000:: *35B33 Critical exponents
76A05 Non-Newtonian fluids
35Q35 Other equations arising in fluid mechanics

Keywords: non-Newtonian polytropic filtration equation; nonlinear boundary flux; global existence; blow-up; critical exponent; critical global existence exponent; critical Fujita exponent; self-similar supersolutions and subsolutions

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