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Indexed by:期刊论文

Date of Publication:2012-05-01

Journal:ACTA MATHEMATICA SCIENTIA

Included Journals:SCIE、ISTIC

Volume:32

Issue:3

Page Number:1126-1140

ISSN No.:0252-9602

Key Words:Heat systems; mixed type nonlinearity; uniform blow-up profiles; simultaneous blow-up

Abstract: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.