Asymptotic behavior of solutions to fast diffusive non-Newtonian filtration equations coupled by nonlinear boundary sources (Q370292)

Summary: This paper is concerning the asymptotic behavior of solutions to the fast diffusive non-Newtonian filtration equations coupled by the nonlinear boundary sources. We are interested in the critical global existence curve and the critical Fujita curve, which are used to describe the large-time behavior of solutions. It is shown that the above two critical curves are both the same for the multidimensional problem we considered.