半线性奇摄动椭圆型方程边值问题的渐近解(英文) 被引量：1

ASYMPTOTIC SOLUTION OF A BOUNDARY PROBLEM FOR THE SEMILINEAR SINGULARLY PERTURBED ELLIPTICAL EQUATION

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摘要本文运用了边界层函数构造了一类半线性奇摄动椭圆型方程边值问题解的渐近展开式 ,并证明了该展开式达到任一精度的一致有效性 . In this paper, the asymptotic expansion of the boundary problem for the semilinear singularly perturbed elliptical equation is constructed by the method of boundary layer correction. The uniformly validity of the constructed asymptotic expansion is proved.

作者程燕

机构地区中国人民解放军炮兵学院基础部

出处《数学杂志》 CSCD 北大核心 2005年第1期25-29,共5页 Journal of Mathematics

基金 Supported by the National Natural Science Foundation of China(1 0 0 71 0 48)

关键词渐近性边界层函数椭圆型方程奇摄动比较定理 asymptotic boundary layer function elliptic equation comparison theorem

分类号 O175.25 [理学—基础数学]

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参考文献1

1莫嘉琪.SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS[J].Science China Mathematics,1989,32(11):1306-1315. 被引量：213

共引文献212

1林万涛,莫嘉琪.简单ENSO海-气耦合模式摄动解的渐近性态[J].科学通报,2003,48(z1):78-81. 被引量：1
2Yao Jingsun, Mo Jiaqi (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).SINGULARLY PERTURBED SOLUTION TO SEMILINEAR HIGHER ORDER REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS[J].Annals of Differential Equations,2009,25(1):91-96. 被引量：1
3莫嘉琪.具有奇性方程的非线性奇摄动问题的正解(英文)[J].应用数学,2010(1):13-17. 被引量：1
4LIU,Qi-lin(刘其林),MO,Jia-qi(莫嘉琪).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(English Edition),2001,22(10):1192-1197. 被引量：1
5Liu Shude~1 Chen Lihua~2 Mo Jiaqi~(1,3) (1.Dept.of Math.,Anhui Normal University,Wuhu 241000,Anhui,2.Dept.of Math.,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian,3.Division of Computational Science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240).THE INITIAL-BOUNDARY VALUE PROBLEMS OF NONLINEAR AND NONLOCAL SINGULARLY PERTURBED REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2008,24(1):20-28. 被引量：5
6Mo Jiaqi1,2,Yao Jingsun1(1. Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui,2. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240).THE GENERALIZED FUNCTIONAL-VARIATION SOLVING METHODS FOR NONLINEAR REACTION DIFFUSION IN BIONOMICS OF SPECIES GROUPS[J].Annals of Differential Equations,2008,24(2):193-196. 被引量：1
7Jingsun Yao, Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS[J].Annals of Differential Equations,2010,26(1):100-104.
8Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR ECOLOGICAL REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2010,26(3):292-296.
9Jiaqi Mo 1,2 , Jingsun Yao 1 (1. Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui,2. Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO MODEL FOR A CLASS OF VIRUS TRANSMISSION[J].Annals of Differential Equations,2010,26(4):436-441. 被引量：1
10Lihua Chen Dept.of Math.and Computer Science,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian Jiaqi Mo Dept.of Math.,Anhui Normal University,Wuhu 241003,Anhui,Faculty of Science,Huzhou Teacher College,Huzhou 313000,Zhejiang,.THE INTERIOR LAYER SOLUTION TO NONLOCAL REACTION DIFFUSION EQUATIONS[J].Annals of Differential Equations,2011,27(4):434-439.

同被引文献14

1倪明康,林武忠.边界层函数法在微分不等式中的应用[J].华东师范大学学报（自然科学版）,2007(3):1-10. 被引量：8
2FRIEDRICHS K O.The Theory of Viscous Fluids.Fluid Dynamics[M].Providence,Brown University,1941.
3KEVORKIAN J,COLE J D.Perturbation Method in Applied Mathematics[M].New York,Springer-verlag,1981.
4AZIZ A,NAT Y.Perturbation Method in Heat Transfer[M].New York,Hhemisphere Publishing Corporation,1984.
5BEJAN A.Convection Heat Transfer[M].New York,John Wiley,1984.
6WASOW W.Asymptotic solution of bounary value problem for the differential equation Δu+λ(/ x)u=λf(x,y)[J].Duke Math J,1944(11):405-415.
7LEVINSON N.The first boundary value problem for εΔu+Aux+Buy+Cu=D for small ε[J].Anals of Math,1950,51,428-455.
8SHIH,KELLOGG.Symptotic analysis of a singluar perturbation problem[J].SIAM J Math Anal,1987,18,1467-1511.
9苏煜诚.奇异摄动中的边界层校正[M].上海:上海科学技术出版社,1983.
10VASIL'EVA A B,BUTUZOV V F,KALACHEV L V.The Boundary Funcation Method for Singular Perturbation Problems[M].Philadelphia,SIAM,1995.

引证文献1

1朱振波,倪明康.奇摄动半线性椭圆型方程的Dirichlet问题[J].华东师范大学学报（自然科学版）,2008(5):72-77.

1古晞,吴斌.二阶拟线性边值问题的奇摄动[J].上海铁道大学学报,2000,21(2):48-52. 被引量：1
2梁立华.非线性方程边值问题奇摄动解的估计[J].天津大学学报,1995,28(4):521-526.
3朱振波,倪明康.奇摄动半线性椭圆型方程的Dirichlet问题[J].华东师范大学学报（自然科学版）,2008(5):72-77.
4莫嘉琪.椭圆型方程奇摄动问题的广义解[J].系统科学与数学,2008,28(3):379-384. 被引量：1
5罗党.求解椭圆型方程边值问题的弱上,下解方法[J].驻马店师专学报,1993,8(3):5-7.
6刘进生,李福义,逯丽清.带有超线性项的混合单调算子的不动点定理及其应用[J].数学物理学报（A辑）,2003,23(1):19-24. 被引量：6
7陈松林,莫嘉琪.具有转向点的椭圆型方程奇摄动边值问题(英文)[J].Chinese Quarterly Journal of Mathematics,2000,15(3):12-16. 被引量：1
8施学瑜.一类半空间间断系数椭圆型方程边值问题[J].清华大学学报（自然科学版）,1990,30(6):83-91.
9谢峰.一类椭圆型方程边值问题的奇摄动[J].安庆师范学院学报（自然科学版）,2000,6(4):27-28.
10许克明.二阶拟线性椭圆型方程边值问题解的先验估计[J].四川师范大学学报（自然科学版）,1994,17(2):97-98. 被引量：1

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半线性奇摄动椭圆型方程边值问题的渐近解(英文) 被引量：1

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