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2009年04月27日

【期刊论文】The Blow-Up Rate for a Strongly Coupled System of Semilinear Heat Equations with Nonlinear Boundary Conditions

穆春来， Chunlai Mu and Shaoyong Lai

Journal of Mathematical Analysis and Applications 254, 524-537 (2001)，-0001，（）：

-1年11月30日

摘要

The paper deals with the blow-up rate of positive solutions to the system u1=uxx+ul11 Vl12, Vl=Vxx+ul21Vl22 with boundary conditions Ux(1, t)=(Up11Up12) (1, t) and Ux(1, t)=(Up21Up22)(1,t). Under some assumptions on the matrices L=(Lij) and P=(pij) and on the initial data u0, v0, the solution (u,v) blows up at finite time T, and we prove that max X∈[0,1] V(x,t) goes to infinity as (T-t)a1/2 (resp. (T-t)a2/2 where ai＜0 are the solutions of (P-Id)(a1,a2)t=(-1,-1)t.