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硅体中磷反应扩散系统解的整体存在性及渐近性
引用本文:杨万利,陈金海.硅体中磷反应扩散系统解的整体存在性及渐近性[J].应用数学,1996,9(3):382-387.
作者姓名:杨万利  陈金海
作者单位:北京解放军装甲兵工程学院,河北师范大学数学系
摘    要:本文用上下解方法,研究了一类带混合非齐次边界条件的化学反应──硅体中磷反应扩散系统,采用避开△的特征函数构造上下解的方法,得到一类充分条件,以使其整体解渐近趋向于Steady-state解.

关 键 词:反应扩散系统  整体解  上下解  渐近性

The Asymptotic Behavior and Existence of The Global Solution for the Systems of Phosphorus Diffusion in Silicon
Yang Wanli, Chen Jinhai.The Asymptotic Behavior and Existence of The Global Solution for the Systems of Phosphorus Diffusion in Silicon[J].Mathematica Applicata,1996,9(3):382-387.
Authors:Yang Wanli  Chen Jinhai
Abstract:In this paper,a kind of chemical reaction on the phosphorus diffusion in silicon with the mixed nonhomogeneous boundary condition is studied,by constructing a couple appropriate upper and lower solution independent of the eigenfunction of the operator,a sufficient condition which sure the global solution asymptotic convergence to steady-state solution are obtained.
Keywords:Reaction-Diffusion Systems  Global Solution  Upper and Lower Solution  Asymptotic Behavior  
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