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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
A doubly degenerate diffusion system multi-coupled via inner and boundary sources
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论文类型：期刊论文
发表时间：2011-12-01
发表刊物：ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
收录刊物：Scopus、SCIE、EI
卷号：62
期号：6
页面范围：1083-1099
ISSN号：0044-2275
关键字：Nonlinear diffusion; Inner source; Boundary source; Multi-couplings; Global solutions; Blow-up; Comparison principle; Energy method
摘要：This paper deals with a doubly degenerate parabolic system multi-coupled by inner and boundary sources. The necessary-sufficient conditions for global weak solutions are determined, which involve a complete classification for all the eight nonlinear parameters of the model and cover all possible blowing up mechanisms of solutions. The results of the paper are mainly rely on the comparison principle and the energy method.