Blow-up analysis for a fast diffusion system with inner absorption and coupled through boundary
Zhongping Li, Chunlai Mu · Applicable Analysis · 2010
This article deals with a fast diffusion system with inner absorption and coupled through boundary. As the results of the interaction among the multi-nonlinearities in the system, the critical global existence exponents were established, which are simply described via a pair of parameters solving the characteristic algebraic system introduced: the solutions are non-global for suitable large initial data if γ1 or γ2 > 0, and global if γ1, γ2 ≤ 0 for more non-trivial case of α1 ≤ m.