Blow-up estimates for a non-Newtonian filtration system

Authors
Yang, ZD Lu, QS
Citation
Zd. Yang et Qs. Lu, Blow-up estimates for a non-Newtonian filtration system, APP MATH ME, 22(3), 2001, pp. 332-339
Citations number
12
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
22
Issue
3
Year of publication
2001
Pages
332 - 339
Database
ISI
SICI code
0253-4827(200103)22:3<332:BEFANF>2.0.ZU;2-T
Abstract
The prior estimate and decay property of positive solutions are derived for a system of quasi- linear elliptic differential equations first. Hence, th e result of non-existence for differential equation system of radially noni ncreasing positive solutions is implied. By using this nonexistence result, blowup estimates for a class quasi-linear reaction-diffusion systems ( non -Newtonian filtration systems) are established, which extends the result of semi-linear reaction diffusion( Fujita type) systems.