The Asymptotic Behavior of Solution for the Singularly Perturbed Initial Boundary Value Problems of the Reaction Diffusion Equations in a Part of Domain

LIU Qi-lin; MO Jia-qi

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2001 > (10): 1075-1080

LIU Qi-lin, MO Jia-qi. The Asymptotic Behavior of Solution for the Singularly Perturbed Initial Boundary Value Problems of the Reaction Diffusion Equations in a Part of Domain[J]. Applied Mathematics and Mechanics, 2001, (10): 1075-1080.

Citation:

PDF( 244 KB)

The Asymptotic Behavior of Solution for the Singularly Perturbed Initial Boundary Value Problems of the Reaction Diffusion Equations in a Part of Domain

LIU Qi-lin¹,
MO Jia-qi²

1.
Department of Mathematics, Nanjing University, Nanjing 210093, P R China;
2.
Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, P R China

Received Date: 2000-09-25
Rev Recd Date: 2001-04-24
Publish Date: 2001-10-15

Abstract

Abstract

A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered.Using the operator theory the asymptotic behavior of solution for the problems is studied.
- singular perturbation,
- reaction diffusion equation,
- initial boundary value problem

FullText(HTML)

References(10)

References

[1]	刘其林.一类非线性奇摄动边值问题解的渐近展开[J].高校应用数学学报,1993,8(3):231-238.
[2]	莫嘉琪,刘其林.具有非局部边界条件的奇摄动反应扩散问题[J].数学研究与评论,1997,17(3):451-454.
[3]	MO Jia-qi.A class of singularly perturbed reaction diffusion integral differential system[J].Acta Math Appl Sinica,1999,15(1):19-23.
[4]	MO Jia-qi.A class of singularly perturbed boundary value problems for nonlinear differential systems[J].Systems Sci Math Sci,1999,12(1):56-58.
[5]	MO Jia-qi.A class of singularly perturbed problems with nonlinear reaction diffusion equation[J].数学进展,1998,27(1):53-58.
[6]	MO Jia-qi.A singularly perturbed nonlinear boundary value problem[J].J Math Anal Appl,1993,178(1):289-293.
[7]	MO Jia-qi.Singular perturbation for a class of nonlinear reaction diffusion systems[J].Science in China,Ser A,1989,32(11):1306-1315.
[8]	de Jager E M,JIANG Fu-ru.The Theory of Singular Perturbation[M].Amsterdam:NortH-Holland Publishing Co,1996.
[9]	Aguilar G,Lisbona F.Singular perturbation on a subdomain[J].J Math Anal Appl,1997,210(1):292-307.
[10]	Sacks P E.The initial and boundary value problem for a class of degenerate parabolic equations[J].Comm Partial Differential Equations,1983,8(7):693-733.