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))), 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.