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论文类型：期刊论文

发表时间：2008-10-01

发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录刊物：SCIE、ISTIC、Scopus

卷号：24

期号：10

页面范围：1713-1726

ISSN号：1439-8516

关键字：simultaneous blow-up rates; asymptotic estimates; characteristic algebraic system; multi-coupled parabolic system; non-global solution; critical exponent

摘要：This paper deals with asymptotic behavior of solutions to a parabolic system, where two heat equations with inner absorptions are multi-coupled via inner sources and boundary flux. We determine four kinds of simultaneous blow-up rates under different dominations of nonlinearities in the model. Two characteristic algebraic systems associated with the problem are introduced to get very simple descriptions for the four simultaneous blow-up rates as well as the known critical exponents, respectively. It is observed that the blow-up rates are independent of the nonlinear inner absorptions.