Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux

Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux

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 cons...

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Main Authors: Yuhuan Li, Chunlai Mu, Zhongping Li
Format: Article
Language:English
Published: SpringerOpen 2008-04-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2008/847145
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spelling doaj-27cd82f8fb2245f8ad708c5d774af2762020-11-24T21:44:52ZengSpringerOpenBoundary Value Problems1687-27621687-27702008-04-01200810.1155/2008/847145Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary FluxYuhuan LiChunlai MuZhongping LiWe 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.http://dx.doi.org/10.1155/2008/847145
collection DOAJ
language English
format Article
sources DOAJ
author Yuhuan Li
Chunlai Mu
Zhongping Li
spellingShingle Yuhuan Li
Chunlai Mu
Zhongping Li
Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
Boundary Value Problems
author_facet Yuhuan Li
Chunlai Mu
Zhongping Li
author_sort Yuhuan Li
title Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
title_short Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
title_full Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
title_fullStr Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
title_full_unstemmed Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
title_sort blowup for a non-newtonian polytropic filtration system coupled via nonlinear boundary flux
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2008-04-01
description 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.
url http://dx.doi.org/10.1155/2008/847145
work_keys_str_mv AT yuhuanli blowupforanonnewtonianpolytropicfiltrationsystemcoupledvianonlinearboundaryflux
AT chunlaimu blowupforanonnewtonianpolytropicfiltrationsystemcoupledvianonlinearboundaryflux
AT zhongpingli blowupforanonnewtonianpolytropicfiltrationsystemcoupledvianonlinearboundaryflux
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