A Reaction-diffusion System with Nonlinear Absorption Terms and Boundary Flux  

作　　者：Ming-xin Wang Xiao-liu Wang 

机构地区：[1]Department of Mathematics, Southeast University, Nanjing 210018, China

出　　处：《Acta Mathematicae Applicatae Sinica》2008年第3期409-422,共14页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.10471022,10771032);the Natural Science Foundation of Jiangsu province BK2006088.

摘　　要：This paper deals with a reaction-diffusion system with nonlinear absorption terms and boundary flux. As results of interactions among the six nonlinear terms in the system, some sufficient conditions on global existence and finite time blow-up of the solutions are described via all the six nonlinear exponents appearing in the six nonlinear terms. In addition, we also show the influence of the coefficients of the absorption terms as well as the geometry of the domain to the global existence and finite time blow-up of the solutions for some cases. At last, some numerical results are given.This paper deals with a reaction-diffusion system with nonlinear absorption terms and boundary flux. As results of interactions among the six nonlinear terms in the system, some sufficient conditions on global existence and finite time blow-up of the solutions are described via all the six nonlinear exponents appearing in the six nonlinear terms. In addition, we also show the influence of the coefficients of the absorption terms as well as the geometry of the domain to the global existence and finite time blow-up of the solutions for some cases. At last, some numerical results are given.

关 键 词：Reaction-diffusion system global existence BLOW-UP nonlinear absorption nonlinear boundary flux 

分 类 号：O14[理学—数学]