Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-10-01

Journal: ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals: Scopus、ISTIC、SCIE

Volume: 24

Issue: 10

Page Number: 1713-1726

ISSN: 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.