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Blow-up estimates for a quasi-linear reaction–diffusion system

✍ Scribed by Yang Zuodong; Lu Qishao

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
159 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, some sufficient conditions under which the quasilinear elliptic system ‐div(∣∇~u~∣^p‐2^∇~u~) = u____v, ‐div(∣∇~u~∣^q‐2^∇~u~) = u____v in ℝ^N^(N≥3) has no radially symmetric positive solution is derived. Then by using this non‐existence result, blow‐up estimates for a class of quasilinear reaction–diffusion systems u~t~ = div (∣∇~u~∣^p‐2^∇~u~)+u____v__,vt__ = div(∣∇~v~∣^q‐2^∇~v~) +u____v with the homogeneous Dirichlet boundary value conditions are obtained. Copyright © 2003 John Wiley & Sons, Ltd.

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