BLOW-UP ESTIMATES FOR A NON-NEWTONIAN FILTRATION SYSTEM

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (3): 332-339.

BLOW-UP ESTIMATES FOR A NON-NEWTONIAN FILTRATION SYSTEM

杨作东, 陆启韶

College of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

收稿日期:2000-04-14 修回日期:2000-11-29 出版日期:2001-03-18 发布日期:2001-03-18
基金资助:
the National Science Foundation of China(19872010);the Doctoral Founda tion of Fducation Ministry of China(98000619)

BLOW-UP ESTIMATES FOR A NON-NEWTONIAN FILTRATION SYSTEM

YANG Zuo-dong, LU Qi-shao

College of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

Received:2000-04-14 Revised:2000-11-29 Online:2001-03-18 Published:2001-03-18
Supported by:
the National Science Foundation of China(19872010);the Doctoral Founda tion of Fducation Ministry of China(98000619)

摘要/Abstract

摘要： The prior estimate and decay property of positive solutions are derived for a system of quasi-linear elliptic differential equations first. Hence, the result of non-existence for differential equation system of radially nonincreasing positive solutions is implied. By using this non-existence result, blow-up 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.

关键词: blow-up, blow-up rates, quasi-linear equation system

Abstract: The prior estimate and decay property of positive solutions are derived for a system of quasi-linear elliptic differential equations first. Hence, the result of non-existence for differential equation system of radially nonincreasing positive solutions is implied. By using this non-existence result, blow-up 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.

Key words: blow-up, blow-up rates, quasi-linear equation system

中图分类号:

O175.25

杨作东;陆启韶. BLOW-UP ESTIMATES FOR A NON-NEWTONIAN FILTRATION SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 332-339.

YANG Zuo-dong;LU Qi-shao. BLOW-UP ESTIMATES FOR A NON-NEWTONIAN FILTRATION SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 332-339.

参考文献

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BLOW-UP ESTIMATES FOR A NON-NEWTONIAN FILTRATION SYSTEM

BLOW-UP ESTIMATES FOR A NON-NEWTONIAN FILTRATION SYSTEM

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