A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters  

作　　者：莫嘉琪 

机构地区：[1]Department of Mathematics,Anhui Normal University

出　　处：《Chinese Physics B》2010年第1期13-16,共4页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 40676016 and 40876010);the Knowledge Innovation Project of Chinese Academy of Sciences (Grant No. KZCX2-YW-Q03-08);the Natiural Science Foundation of Zhejiang Province of China (Grant No. 6090164);in part by E-Institutes of Shanghai Municipal Education Commission (Grant No. E03004)

摘　　要：A class of singularly perturbed initial boundary value problems of reaction diffusion equations for the nonlinear boundary condition with two parameters is considered. Under suitable conditions, by using the theory of differential inequalities, the existence and the asymptotic behaviour of the solution for the initial boundary value problem are studied. The obtained solution indicates that there are initial and boundary layers and the thickness of the boundary layer is less than the thickness of the initial layer.A class of singularly perturbed initial boundary value problems of reaction diffusion equations for the nonlinear boundary condition with two parameters is considered. Under suitable conditions, by using the theory of differential inequalities, the existence and the asymptotic behaviour of the solution for the initial boundary value problem are studied. The obtained solution indicates that there are initial and boundary layers and the thickness of the boundary layer is less than the thickness of the initial layer.

关 键 词：NONLINEAR two parameters singular perturbation 

分 类 号：O175[理学—数学] O411.1[理学—基础数学]