GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX

doi:10.1016/S0252-9602(11)60268-3

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (2): 681-693.doi: 10.1016/S0252-9602(11)60268-3

GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX

陈波涛¹|米永生^1,2|穆春来^2*

1. College of Mathematics and Computer Sciences, Yangtze Normal University, Fuling |408100, China；

2. College of |Mathematics and Statistics, Chongqing University, Chongqing 401331, China

收稿日期:2010-07-02 出版日期:2011-03-20 发布日期:2011-03-20
通讯作者: 穆春来 E-mail:chunlaimu@yahoo.com.cn
基金资助:
This work is supported in part by NSF of China (11071266), in part by NSF project of CQ CSTC (2010BB9218), and partially supported by the Educational Science Foundation of Chongqing (KJ101303) China.

GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX

CHEN Bo-Tao¹, MI Yong-Sheng^1,2, MU Chun-Lai^2*

1. College of Mathematics and Computer Sciences, Yangtze Normal University, Fuling |408100, China；

2. College of |Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Received:2010-07-02 Online:2011-03-20 Published:2011-03-20
Contact: MU Chun-Lai E-mail:chunlaimu@yahoo.com.cn
Supported by:
This work is supported in part by NSF of China (11071266), in part by NSF project of CQ CSTC (2010BB9218), and partially supported by the Educational Science Foundation of Chongqing (KJ101303) China.

摘要/Abstract

摘要：

This article deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve and the critical Fujita curve for the problem. Especially for the blow-up case, it is rather technical. It comes from the construction of the so-called Zel'dovich-Kompaneetz-Barenblatt profile.

关键词: Critical global existence curve, degenerate parabolic systems, critical Fujita curve, nonlinear boundary flux, blow-up

Abstract:

Key words: Critical global existence curve, degenerate parabolic systems, critical Fujita curve, nonlinear boundary flux, blow-up

中图分类号:

35K55

陈波涛, 米永生, 穆春来. GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX[J]. 数学物理学报(英文版), 2011, 31(2): 681-693.

CHEN Bo-Tao, MI Yong-Sheng, MU Chun-Lai. GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX[J]. Acta mathematica scientia,Series B, 2011, 31(2): 681-693.

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GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX

GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX

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