BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN

数学物理学报(英文版)

BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN

穆春来; 胡学刚; 李玉环; 崔泽键

重庆大学数理学院, 重庆 400044

收稿日期:2004-11-22 修回日期:1900-01-01 出版日期:2007-01-20 发布日期:2007-01-20
通讯作者: 穆春来
基金资助:
This work is supported in part by NNSF of China (10571126) and in part by Program for New Century Excellent Talents in University.

BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN

Mu Chunlai; Hu Xuegang; Li Yuhuan; Cui Zejian

College of Mathematics and Physics, Chongqing University, Chongqing 400044, China

Received:2004-11-22 Revised:1900-01-01 Online:2007-01-20 Published:2007-01-20
Contact: Mu Chunlai

摘要/Abstract

摘要： This article deals with the conditions that ensure the blow-up
phenomenon or its absence for solutions of the system
u_t=△ u^l+u^p₁v^q₁ and v_t=△ v^m+u^p₂v^q₂ with homogeneous Dirichlet boundary conditions. The results depend crucially on the sign of the difference p₂q₁-(l-p₁)(m-q₂), the initial data, and the domain $\Omega$.

关键词: Global existence, blow-up, degenerate parabolic system

Abstract: This article deals with the conditions that ensure the blow-up
phenomenon or its absence for solutions of the system
u_t=△ u^l+u^p₁v^q₁ and v_t=△ v^m+u^p₂v^q₂ with homogeneous Dirichlet boundary conditions. The results depend crucially on the sign of the difference p₂q₁-(l-p₁)(m-q₂), the initial data, and the domain $\Omega$.

Key words: Global existence, blow-up, degenerate parabolic system

中图分类号:

35B40

穆春来; 胡学刚; 李玉环; 崔泽键. BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN[J]. 数学物理学报(英文版), 2007, 27(1): 92-106.

Mu Chunlai; Hu Xuegang; Li Yuhuan; Cui Zejian. BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN[J]. Acta mathematica scientia,Series B, 2007, 27(1): 92-106.

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BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN

BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN

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