GLOBAL EXISTENCE AND BLOW-UP FOR NON-NEWTON POLYTROPIC FILTRATION SYSTEM COUPLED WITH LOCAL SOURCE
Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 39-47
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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).
ZHOU, JUN; MU, CHUNLAI. GLOBAL EXISTENCE AND BLOW-UP FOR NON-NEWTON POLYTROPIC FILTRATION SYSTEM COUPLED WITH LOCAL SOURCE. Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 39-47. doi: 10.1017/S0017089508004515
@article{10_1017_S0017089508004515,
author = {ZHOU, JUN and MU, CHUNLAI},
title = {GLOBAL {EXISTENCE} {AND} {BLOW-UP} {FOR} {NON-NEWTON} {POLYTROPIC} {FILTRATION} {SYSTEM} {COUPLED} {WITH} {LOCAL} {SOURCE}},
journal = {Glasgow mathematical journal},
pages = {39--47},
year = {2009},
volume = {51},
number = {1},
doi = {10.1017/S0017089508004515},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004515/}
}
TY - JOUR AU - ZHOU, JUN AU - MU, CHUNLAI TI - GLOBAL EXISTENCE AND BLOW-UP FOR NON-NEWTON POLYTROPIC FILTRATION SYSTEM COUPLED WITH LOCAL SOURCE JO - Glasgow mathematical journal PY - 2009 SP - 39 EP - 47 VL - 51 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004515/ DO - 10.1017/S0017089508004515 ID - 10_1017_S0017089508004515 ER -
%0 Journal Article %A ZHOU, JUN %A MU, CHUNLAI %T GLOBAL EXISTENCE AND BLOW-UP FOR NON-NEWTON POLYTROPIC FILTRATION SYSTEM COUPLED WITH LOCAL SOURCE %J Glasgow mathematical journal %D 2009 %P 39-47 %V 51 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004515/ %R 10.1017/S0017089508004515 %F 10_1017_S0017089508004515
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