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Indexed by:期刊论文

Date of Publication:2008-10-01

Journal:ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals:SCIE、ISTIC、Scopus

Volume:24

Issue:10

Page Number:1713-1726

ISSN No.:1439-8516

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

Abstract: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.