Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (5): 653-658.doi: https://doi.org/10.1007/s10483-009-0511-x

• Articles • 上一篇    下一篇

Singularly perturbed solution to semilinear reaction diffusion equations with two parameters

莫嘉琪1,2 刘树德1,2   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu 241000,Anhui Province, P. R. China;
    2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200240, P. R. China
  • 收稿日期:2008-10-16 修回日期:2009-03-25 出版日期:2009-05-01 发布日期:2009-05-01

Singularly perturbed solution to semilinear reaction diffusion equations with two parameters

Jia-Qi MO1,2, Shu-De LIU1,2   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu 241000,Anhui Province, P. R. China;
    2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200240, P. R. China
  • Received:2008-10-16 Revised:2009-03-25 Online:2009-05-01 Published:2009-05-01

PDF

1334

摘要： A class of singularly perturbed initial boundary value problems for semilinear reaction diffusion equations with two parameters is considered. Under suitable conditions and using the theory of differential inequalities, the existence and the asymptotic behavior of the solution to the initial boundary value problem are studied.

关键词: nonlinear, two parameters, singular perturbation, reaction diffusion, initial layer, boundary layer

Abstract: A class of singularly perturbed initial boundary value problems for semilinear reaction diffusion equations with two parameters is considered. Under suitable conditions and using the theory of differential inequalities, the existence and the asymptotic behavior of the solution to the initial boundary value problem are studied.

Key words: nonlinear, two parameters, singular perturbation, reaction diffusion, initial layer, boundary layer

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn