Blow-up properties for heat equations coupled via different nonlinearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:347

Article

Liu, Bingchen¹  Li, Fengjie¹ 

[1] China Univ Petr, Coll Math & Computat Sci, Dongying 257061, Shandong, Peoples R China

关键词: non-simultaneous blow-up;    simultaneous blow-up;    blow-up rate;   

DOI  :  10.1016/j.jmaa.2008.06.004

来源: Elsevier

【 摘 要 】

This paper deals with heat equations coupled via exponential and power nonlinearities, subject to null Dirichlet boundary conditions. The complete and optimal classification on non-simultaneous and simultaneous blow-ups is proposed by four sufficient and necessary conditions. We find out that, in some exponent region, the blow-up properties of the solutions depend much on the choosing of initial data. Moreover, all kinds of non-simultaneous and simultaneous blow-up rates are obtained. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free