THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM

doi:10.1016/S0252-9602(12)60200-8

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (1): 139-149.doi: 10.1016/S0252-9602(12)60200-8

THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM

凌征球*|王泽佳|张国强

Institute of Mathematics and Information Science, Yulin Normal University, Yulin 537000, China； College of Mathematics and Informational Science, Jiangxi Normal University, Nanchang 330022, China； Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China

收稿日期:2011-10-05 修回日期:2012-02-05 出版日期:2013-01-20 发布日期:2013-01-20
通讯作者: 凌征球，lingzq00@tom.com E-mail:lingzq00@tom.com；wangzj1979@gmail.com；zhanggq3230@zzu.edu.cn
基金资助:
Supported by the National Natural Science Foundation of China (11071100) and Natural Science Foundation of Guangxi (2011jjA10044). The first author is supported by National Natural Science Foundation of China and Natural Science Foundation of Guangxi.

THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM

LING Zheng-Qiu, WANG Ze-Jia, ZHANG Guo-Qiang

Institute of Mathematics and Information Science, Yulin Normal University, Yulin 537000, China； College of Mathematics and Informational Science, Jiangxi Normal University, Nanchang 330022, China； Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China

Received:2011-10-05 Revised:2012-02-05 Online:2013-01-20 Published:2013-01-20
Contact: LING Zheng-Qiu，lingzq00@tom.com E-mail:lingzq00@tom.com；wangzj1979@gmail.com；zhanggq3230@zzu.edu.cn
Supported by:
Supported by the National Natural Science Foundation of China (11071100) and Natural Science Foundation of Guangxi (2011jjA10044). The first author is supported by National Natural Science Foundation of China and Natural Science Foundation of Guangxi.

摘要/Abstract

摘要：

This paper investigates the finite time blow-up of nonnegative solutions for a nonlinear diffusion system with a more complicated source term, which is a product of localized source, local source, and weight function, and complemented by homogeneous Dirichlet boundary conditions. The criteria are proposed to identify simultaneous and non-simultaneous blow-up solutions. Moreover, the related classification for the four parameters in the model is optimal and complete. The results extend those in Zhang and Yang [12].

关键词: blow-up, simultaneous and non-simultaneous blow-up, critical exponent, dif-fusion system

Abstract:

Key words: blow-up, simultaneous and non-simultaneous blow-up, critical exponent, dif-fusion system

中图分类号:

35B33

凌征球*, 王泽佳, 张国强. THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM[J]. 数学物理学报(英文版), 2013, 33(1): 139-149.

LING Zheng-Qiu, WANG Ze-Jia, ZHANG Guo-Qiang. THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM[J]. Acta mathematica scientia,Series B, 2013, 33(1): 139-149.

参考文献

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[13] Quir´os F, Rossi J D. Non-simultaneous blow-up in a nonlinear parabolic system. Z Angew Math Phys, 2001, 52: 342–346

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THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM

THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM

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