Non-simultaneous blow-up of a reaction-diffusion system with inner absorption and coupled via nonlinear boundary flux

Boundary value problems

Si Xu¹ 

[1] Department of Mathematics, Jiangxi Vocational College of Finance and Economics, Jiujiang, P.R. China

关键词: reaction-diffusion system;    blow-up;    non-simultaneous blow-up;    nonlinear absorption;    nonlinear boundary flux;    35B33;    35K65;    35K55;   

DOI  :  10.1186/s13661-015-0483-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with a parabolic reaction-diffusion system with a nonlinear absorption term, meanwhile the two equations of the system coupled via nonlinear boundary flux which obey different laws. Under the hypothesis condition of the initial data, we get the sufficient and necessary conditions under which there exist initial data such that non-simultaneous blow-up occurs.

【 授权许可】

CC BY