| BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN |
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| 作者姓名： | 穆春来 胡学刚 李玉环 崔泽键 |
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| 作者单位： | College of Mathematics and Physics Chongqing University，Institute of Applied Mathematics Chongqing University of Posts and Telecommunications，Department of Mathematics Sichuan Normal University，Department of Mathematics China West Normal University Chongqing 400044，China，Chongqing 400065，China，Chengdu 610068，China，Nanchong 637002，China |
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| 基金项目： | 国家自然科学基金，教育部新世纪优秀人才支持计划 |
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| 摘 要： | This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut=△ul up1vq1 and vt=△vm 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 domainΩ.
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| 关 键 词： | 单相交现象 有界域 退化抛物型方程 全局存在 耦合系统 |
| 收稿时间： | 2004-11-22 |
Blow-up and global existence for a coupled system of degenerate parabolic equations in a bounded domain |
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| Chunlai Mu, Xuegang Hu, Yuhuan Li,Zejian Cui.BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN[J].Acta Mathematica Scientia,2007,27(1):92-106. |
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| Authors: | Chunlai Mu Xuegang Hu Yuhuan Li Zejian Cui |
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| Institution: | aCollege of Mathematics and Physics, Chongqing University, Chongqing 400044, China;bInstitute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;cDepartment of Mathematics, Sichuan Normal University, Chengdu 610068, China;dDepartment of Mathematics, China West Normal University, Nanchong 637002, China |
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| Abstract: | 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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| Keywords: | Global existence blow-up degenerate parabolic system |
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