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论文类型：期刊论文

发表时间：2012-05-01

发表刊物：ACTA MATHEMATICA SCIENTIA

收录刊物：SCIE、ISTIC

卷号：32

期号：3

页面范围：1126-1140

ISSN号：0252-9602

关键字：Heat systems; mixed type nonlinearity; uniform blow-up profiles; simultaneous blow-up

摘要：This article deals with a nonlocal heat system subject to null Dirichlet boundary conditions, where the coupling nonlocal sources consist of mixed type asymmetric nonlinearities. We at first give the criterion for simultaneous blow-up of solutions, and then establish the uniform blow-up profiles of solutions near the blow-up time. It is observed that not only the simultaneous blow-up rates of the two components u and v are asymmetric, but also the blow-up rates of the same component u (or v) may be in different levels under different dominations.