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Blow-Up Estimates for a Non-Newtonian Filtration System

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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.

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Authors and Affiliations

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

    Zuo-dong Yang & Qi-shao Lu

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  1. Zuo-dong Yang
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  2. Qi-shao Lu
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Yang, Zd., Lu, Qs. Blow-Up Estimates for a Non-Newtonian Filtration System. Applied Mathematics and Mechanics 22, 332–339 (2001). https://doi.org/10.1023/A:1015566705941

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