Non-simultaneous blow-up of a reaction-diffusion system with inner absorption and coupled via nonlinear boundary flux
Si Xu · Boundary Value Problems · 2015
This paper deals with a parabolic reaction-diffusion system with a nonlinear absorption term, meanwhile the two equations of the system coupled via nonlinear boundary flux which obey different laws. Under the hypothesis condition of the initial data, we get the sufficient and necessary conditions under which there exist initial data such that non-simultaneous blow-up occurs.