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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.