Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux. (1st April 2008)

• Record Type: Journal Article
• Authors: Li, Zhongping; Mu, Chunlai; Li, Yuhuan
• Other Names: DiBenedetto Emmanuele Academic Editor.
• Is Part Of: Boundary value problems. Volume 2008(2008)
• Publication Date: 2008-04-01
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2008/847145
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We study the global existence and the global nonexistence of a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux. We first establish a weak comparison principle, then discuss the large time behavior of solutions by using modified upper and lower solution methods and constructing various upper and lower solutions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained.