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Applied Mathematics and Mechanics

, Volume 22, Issue 3, pp 332–339 | Cite as

Blow-up estimates for a non-newtonian filtration system

  • Yang Zuo-dong
  • Lu Qi-shao
Article

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 

CLC number

O175.25 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Yang Zuo-dong
    • 1
  • Lu Qi-shao
    • 1
  1. 1.College of ScienceBeijing University of Aeronautics and AstronauticsBeijingP R China

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