(1) Department of Mathematics, China West Normal University, Nanchong, 637002, P. R. China;(2) College of mathematics and physics, Chongqing University, Chongqing, 400044, P. R. China
Abstract:
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.