Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-12-01

Journal: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Included Journals: EI、SCIE、Scopus

Volume: 62

Issue: 6

Page Number: 1083-1099

ISSN: 0044-2275

Key Words: Nonlinear diffusion; Inner source; Boundary source; Multi-couplings; Global solutions; Blow-up; Comparison principle; Energy method

Abstract: 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.