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

doi:10.1088/1674-1056/19/1/010203

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10203-010203.doi: 10.1088/1674-1056/19/1/010203

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

莫嘉琪

Department of Mathematics, Anhui Normal University, Wuhu 241000, China

收稿日期:2009-05-20 修回日期:2009-06-09 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
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) and in part by E-Institutes of Shanghai Municipal Education Commission (Grant No. E03004).

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

Mo Jia-Qi(莫嘉琪)^†

Department of Mathematics, Anhui Normal University, Wuhu 241000, China

Received:2009-05-20 Revised:2009-06-09 Online:2010-01-15 Published:2010-01-15
Supported by:
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) and in part by E-Institutes of Shanghai Municipal Education Commission (Grant No. E03004).

摘要/Abstract

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.

Abstract: 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.

Key words: nonlinear, two parameters, singular perturbation

中图分类号: (Transport processes)

05.60.-k

02.30.Jr (Partial differential equations)

莫嘉琪. A singularly perturbed reaction diffusion problem forthe nonlinear boundary condition with two parameters[J]. 中国物理B, 2010, 19(1): 10203-010203.

Mo Jia-Qi(莫嘉琪) . A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters[J]. Chin. Phys. B, 2010, 19(1): 10203-010203.

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

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

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