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Asymptotic Behavior of Solutions to Fast Diffusive Non-Newtonian Filtration Equations Coupled by Nonlinear Boundary Sources
Author(s) -
Zejia Wang,
Wang Shunti,
Chengbin Zhang
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/898546
Subject(s) - mathematics , fujita scale , filtration (mathematics) , nonlinear system , mathematical analysis , boundary (topology) , non newtonian fluid , newtonian fluid , mechanics , pure mathematics , physics , quantum mechanics , meteorology
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

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