Asymptotic Estimates to Non-global Solutions of a Multi-coupled Parabolic System

作者：Ji Rui Hong; Zheng Si Ning^*

来源：Acta Mathematica Sinica-English Series, 2008, 24(10): 1713-1726.

DOI：10.1007/s10114-008-6559-8

• 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.

• 出版日期2008-10
• 单位大连理工大学