Asymptotic Behavior of Solutions to Fast Diffusive Non-Newtonian Filtration Equations Coupled by Nonlinear Boundary Sources

الملخص EN

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.