Blow-up phenomena for a nonlinear pseudo-parabolic equation with nonlocal source

We discuss a class of quasi-linear pseudo-parabolic equation with nonlocal source ut−Δut−∇⋅|∇u|2q∇u=up(x,t)∫Ωk(x,y)up+1(y,t)dyx,y∈Ω,t∈(0,T0],where q≤p and 0