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- W2027584439 abstract "In this paper, we establish the local existence of the solution and the finite-time blow-up result for the following system: u t =u r1 δu+a∫ ω u p dx , for xϵohm;, t>0, u t =u r2 δu+b∫ ω u q dx , for xϵohm;, t>0, where p , q ≥ 1 and 0 < r 1 , r 2 < 1. Moreover, it is proved that the solution has global blow-up and lim t←T ∗ (T ∗: −t) ( p+1−r 2 ) y u(x,t)=(1−r1) −1 1−r1) (a∥aω∥y) −(p+1−r2) y (q+1−−r1) p y x a(p+1−r2) b 1−r2) y lim t←T ∗ (T ∗: −t) ( q+1−r 1 ) y u(x,t)=(1−r2) −1 1−r2) (b∥aω∥y) −(q+1−r1) y (p+1−−r2) q y x b(q+1−r1) a 1−r1) y uniformly on compact subsets of Ω, where γ = pq - (1 − r 1 )(1 − r 2 ) and T∗ is the blow-up time." @default.
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- W2027584439 date "2004-03-01" @default.
- W2027584439 modified "2023-09-27" @default.
- W2027584439 title "Uniform blow-up profile for a degenerate parabolic system with nonlocal source" @default.
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- W2027584439 doi "https://doi.org/10.1016/s0898-1221(04)90081-8" @default.
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