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Blowup behaviors for degenerate parabolic equations coupled via nonlinear boundary flux

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  • This paper deals with the blow-up properties of solutions to a degenerate parabolic system coupled via nonlinear boundary flux. Firstly, we construct the self-similar supersolution and subsolution to obtain the critical global existence curve. Secondly, we establish the precise blow-up rate estimates for solutions which blow up in a finite time. Finally, we investigate the localization of blow-up points. The critical curve of Fujita type is conjectured with the aid of some new results.
    Mathematics Subject Classification: Primary: 35K55, 35K65, 35K60; Secondary: 35B33, 35B40.


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