Geodesic
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

Voir la notice de l'article provenant de la source Cambridge University Press

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).
DOI : 10.1017/S0017089508004515
Mots-clés : 35K50, 35K55, 35K65, 35B33 
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
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