Uniform blow-up profile for a degenerate parabolic system with nonlocal source

In this paper, we establish the local existence of the solution and the finite-time blow-up result for the following system: where p, q ≥ 1 and 0 < r1, r2 < 1. Moreover, it is proved that the solution has global blow-up and limt←T*(T*:−t)(p+1−r2)/yu(x,t)=(1−r1)−1/1−r1)(a aω y)−(p+1−r2)/y(q+1−−r1)p/y limt←T*(T*:−t)(q+1−r1)/yu(x,t)=(1−r2)−1/1−r2)(b aω y)−(q+1−r1)/y(p+1−−r2)q/y uniformly on compact subsets of Ω, where γ = pq - (1 − r1)(1 − r2) and T* is the blow-up time.