Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2012-05-01

Journal: ACTA MATHEMATICA SCIENTIA

Included Journals: ISTIC、SCIE

Volume: 32

Issue: 3

Page Number: 1126-1140

ISSN: 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.