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GLOBAL EXISTENCE AND BLOW-UP FOR NON-NEWTON POLYTROPIC FILTRATION SYSTEM COUPLED WITH LOCAL SOURCE

Published online by Cambridge University Press:  01 January 2009

JUN ZHOU  and
CHUNLAI MU
JUN ZHOU*
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China e-mail: [email protected].
CHUNLAI MU
Affiliation:
School of Mathematics and Physics, Chongqing University, Chongqing 400044, P. R. China
*
*Corresponding author.
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Abstract

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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).

Keywords

35K5035K5535K6535B33
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 1 , January 2009 , pp. 39 - 47
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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