期刊论文

Ji, Rui Hong

Zheng, SN (reprint author), Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China.

Zheng, Si Ning

2008-10-01

ACTA MATHEMATICA SINICA-ENGLISH SERIES

SCIE、ISTIC、Scopus

J

24

10

1713-1726

1439-8516

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

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.