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

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

来源 :数学物理学报（英文版） | 被引量 : 0次 | 上传用户：vicky1924

【摘 要】

：

This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut = Δul + up1vq1 and vt = Δvm + up2vq2 w

【作 者】

：

Mu Chunlai Hu Xuegang Li Yuhua 

【机 构】

：

College of Mathematics and Physics,Institute of Applied Mathematics,Department of Mathematics

【出 处】

：

数学物理学报（英文版）

【发表日期】

：

2004年期

【关键词】

：

Global existence blow-up degenerate parabolic system 

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论文部分内容阅读

This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut = Δul + up1vq1 and vt = Δvm + up2vq2 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 Ω.

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