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THE SINGULARLY PERTURBED PROBLEM FOR COMBUSTION REACTION DIFFUSION
作者姓名:莫嘉琪
作者单位:Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China
基金项目:the National Natural Science Foundation of China (No.10071045).
摘    要:1. IntroductionThe anchor discussed a class of problems for the nonlinear ordinary differential equations(of. 1-3]) and the reaction dimsion equations (of. 4-7]).Now we consider a model of the combustion reaction decision problem as follows:where y is a density of combustion flame, s denotes the rate of diffusion effect for reactionspeed, whiCh is a small positive parameter, t is a position of combustion, functions y - t andy t are the positions of the matter for fuel and chide respectivel…

收稿时间:30 November 1998

The singularly perturbed problem for combustion reaction diffusion
Mo Jiaqi.THE SINGULARLY PERTURBED PROBLEM FOR COMBUSTION REACTION DIFFUSION[J].Acta Mathematicae Applicatae Sinica,2001,17(2):255-259.
Authors:Mo Jiaqi
Institution:(1) Department of Mathematics, Huzhou Teachers College, 313000 Huzhou, China
Abstract:A singularly perturbed combustion reaction diffusion Robin boundary value problem is considered. Using the theory of differential ineaqality, the existence of solution to the problem is proved and the asymptotic estimation of the solution is obtained.
Keywords:Singular perturbation  defferential inequality  reaction diffusion
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