Critical curves for a fast diffusive polytropic filtration system coupled via nonlinear boundary flux

Zeitschrift für angewandte Mathematik und Physik - Tập 60 - Trang 284-298 - 2008
Zhongping Li1, Chunlai Mu2, Zejian Cui1
1Department of Mathematics, China West Normal University, Nanchong, P. R. China
2College of mathematics and physics, Chongqing university, Chongqing, P.R. China

Tóm tắt

This paper deals with the critical curves of the fast diffusive polytropic filtration equations coupled via nonlinear boundary flux. By constructing self-similar super and sub solutions we obtain the critical global existence curve. The critical curve of Fujita type is conjectured with the aid of some new results.