Blowup behaviors for degenerate parabolic equations coupled via nonlinear boundary flux

Abstract

This paper deals with the blow-up properties of solutions to adegenerate parabolic system coupled via nonlinear boundary flux.Firstly, we construct the self-similar supersolution andsubsolution 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.

Identifiers

DOI

10.3934/cpaa.2007.6.487

Citations and references