a1 School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China e-mail: firstname.lastname@example.org.
a2 School of Mathematics and Physics, Chongqing University, Chongqing 400044, P. R. China
This paper deals with the global existence and blow-up properties of the following non-Newton polytropic filtration system coupled with local source: ut − Δm,pu = avα, vt − Δn,qv = buβ. Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time depending on the initial data and the relations between αβ and mn(p − 1)(q − 1).
(Received February 25 2007)
(Accepted July 01 2008)
2000 AMS Subject Classification
c1 Corresponding author.