Blow-up rates for parabolic systems

Research paper by Keng Deng

Indexed on: 01 Jan '96Published on: 01 Jan '96Published in: Zeitschrift für angewandte Mathematik und Physik


Let Ω ⊂ ℝn be a bounded domain andBR be a ball in ℝn of radiusR. We consider two parabolic systems: ut=Δu +f(υ), υi=Δυ +g(u) in Ω × (0,T) withu=v=0 on δΩ × (0,T) andut=Δu, vt=Δv inBr × (0,T) withδe/δv=f (v), δe/δv=g(u) onδBR × (0,T). Whenf(v) andg(u) are power law or exponential functions, we establish estimates on the blow-up rates for nonnegative solutions of the systems.