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Note on blow-up of solutions for a porous medium equation with convection and boundary flux

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Wang Z., Yin J.

Colloquium Mathematicum

2012

tom 128

nr 2

223-228

De Pablo et al. [Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 513-530] considered a nonlinear boundary value problem for a porous medium equation with a convection term, and they classified exponents of nonlinearities which lead either to the global-in-time existence of solutions or to a blow-up of solutions. In their analysis they left open the case of a certain critical range of exponents. The purpose of this note is to fill this gap.

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1 Colloquium Mathematicum

1 Wang Z.

1 Yin J.

1 2012

Wyniki wyszukiwania

Note on blow-up of solutions for a porous medium equation with convection and boundary flux