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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
办公地点：创新园大厦 A1032
电子邮箱：snzheng@dlut.edu.cn
Global blow-up in a degenerate and strongly coupled parabolic system with localized sources
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论文类型：期刊论文
发表时间：2010-11-01
发表刊物：COMPUTERS & MATHEMATICS WITH APPLICATIONS
收录刊物：SCIE、EI、Scopus
卷号：60
期号：9
页面范围：2564-2571
ISSN号：0898-1221
关键字：Degenerate parabolic system; Strongly coupled; Localized sources; Global blow-up
摘要：In this paper, we investigate positive solutions of the strongly coupled degenerate parabolic system with localized sources u(t) = v(p)(Delta u + af(u(x(0), t))), v(t) = u(q) (Delta v + bg(v(x(0), t))), subject to null Dirichlet boundary conditions. The conditions for global and non-global solutions are determined respectively. Furthermore, it is proved for radial blow-up solutions that the blow-up set consists of the whole domain. (C) 2010 Elsevier Ltd. All rights reserved.