Blow-up rates for parabolic systems Original Papers Received: 13 March 1995 Revised: 26 May 1995 DOI:
Cite this article as: Deng, K. Z. angew. Math. Phys. (1996) 47: 132. doi:10.1007/BF00917578 Abstract
Let Ω ⊂ ℝ
be a bounded domain and n B be a ball in ℝ R of radius n R. We consider two parabolic systems: u t=Δ u + f(υ), υ i=Δυ + g( u) in Ω × (0, T) with u=v=0 on δΩ × (0, T) and u = t Δu, v = t Δv in B × (0, r T) with δe/δv=f (v), δe/δv=g(u) on δB × (0, R T). When f(v) and g(u) are power law or exponential functions, we establish estimates on the blow-up rates for nonnegative solutions of the systems. Download to read the full article text References
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