# American Institute of Mathematical Sciences

June  2007, 6(2): 487-503. doi: 10.3934/cpaa.2007.6.487

## Blowup behaviors for degenerate parabolic equations coupled via nonlinear boundary flux

 1 Department of Mathematics, Chongqing University, Chongqing 400044, China 2 School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China

Received  June 2006 Revised  December 2006 Published  March 2007

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.
Citation: Chunlai Mu, Zhaoyin Xiang. Blowup behaviors for degenerate parabolic equations coupled via nonlinear boundary flux. Communications on Pure & Applied Analysis, 2007, 6 (2) : 487-503. doi: 10.3934/cpaa.2007.6.487
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