Blowup behaviors for degenerate parabolic equations coupled via nonlinear boundary flux | Zendy

Chunlai Mu | Zendy; Zhaoyin Xiang | Zendy

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Blowup behaviors for degenerate parabolic equations coupled via nonlinear boundary flux

Author(s) -

Chunlai Mu,

Zhaoyin Xiang

Publication year - 2007

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2007.6.487

Subject(s) - fujita scale , degenerate energy levels , nonlinear system , mathematical analysis , boundary (topology) , flux (metallurgy) , parabolic partial differential equation , mathematics , type (biology) , physics , partial differential equation , materials science , ecology , meteorology , biology , quantum mechanics , metallurgy

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.

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