Critical curves for fast diffusive non-Newtonian equations coupled via nonlinear boundary flux

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:340

Article

Li, Zhongping¹  Mu, Chunlai² 

[1] China W Normal Univ, Dept Math, Nanchong 637002, Peoples R China

[2] Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China

关键词: critical curve;    fast diffusive non-Newtonian equation;    nonlinear boundary flux;    blow-up;   

DOI  :  10.1016/j.jmaa.2007.09.009

来源: Elsevier

【 摘 要 】

This paper deals with the critical curve for a nonlinear boundary value problem of a fast diffusive non-Newtonian system. We first obtain the critical global existence curve by constructing the self similar supersolution and subsolution. And then the critical Fujita curve is conjectured with the aid of some new results. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free