Global blow-up in a degenerate and strongly coupled parabolic system with localized sources

In this paper, we investigate positive solutions of the strongly coupled degenerate parabolic system with localized sources ut=vp(Δu+af(u(x0,t)))ut=vp(Δu+af(u(x0,t))), vt=uq(Δv+bg(v(x0,t)))vt=uq(Δv+bg(v(x0,t))), subject to null Dirichlet boundary conditions. The conditions for global and non-global solutions are determined respectively. Furthermore, it is proved for radial blow-up solutions that the blow-up set consists of the whole domain.