椭圆型方程的内层和边界层渐近解(英文)

The Interior and Boundary Layers Asymptotic Solution for Elliptic Equations

下载PDF

导出

摘要本文讨论了一类半线性椭圆型方程边值问题.利用微分不等式理论,研究了边值问题内层和边界层解的存在性和渐近性态. A class of boundary value problems for semilinear elliptic equations is considered. Under suitable conditions, using theory of differential inequalities the existence and asymptotic behavior of the interior and boundary layers solution for boundary value problems are studied.

作者温朝晖莫嘉琪

机构地区安徽财经大学统计与应用数学学院应用数学研究所安徽师范大学数学系上海高校计算科学E-研究院SJTU研究所

出处《应用数学》 CSCD 北大核心 2011年第2期255-259,共5页 Mathematica Applicata

基金 Supported by the National Natural Science Foundation of China (40876010) the Main Direction Program of the Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-YWQ03-08) the R & D Special Fund for Public Welfare Industry (Meteorology) (GYHY200806010) the LASG State Key Laboratory Special Fund,the Foundation of E-Institutes of Shanghai Municipal Education Commission (E03004) the Natural Science Foundation of Zhejiang Province (Y6090164)

关键词内层边界层渐近解 Interior layer Boundary layer Asymptotic solution

分类号 O175.29 [理学—基础数学]

引文网络
相关文献

参考文献4

1MO JiaQi1,2 1 Anhui Normal University, Wuhu 241000, China,2 Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China.Homotopic mapping solving method for gain fluency of a laser pulse amplifier[J].Science China(Physics,Mechanics & Astronomy),2009,52(7):1007-1010. 被引量：124
2MO Jiaqi,LIN Wantao,WANG Hui.Variational iteration solving method of a sea-air oscillator model for the ENSO[J].Progress in Natural Science:Materials International,2007,17(2):230-232. 被引量：60
3Jiaqi MO,Wantao LIN.ASYMPTOTIC SOLUTION OF ACTIVATOR INHIBITOR SYSTEMS FOR NONLINEAR REACTION DIFFUSION EQUATIONS[J].Journal of Systems Science & Complexity,2008,21(1):119-128. 被引量：96
4Jia-qi Mo,Wan-tao Lin.A Class of Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation[J].Acta Mathematicae Applicatae Sinica,2006,22(1):27-32. 被引量：33

二级参考文献19

1MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
2MO Jiaqi (Department of Mathematics, Anhui Normal University, Wuhu 241000, China).A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS[J].Systems Science and Mathematical Sciences,1999,12(1):55-58. 被引量：51
3MOJiaqi,LINWantao,ZHUJiang.A variational iteration method for studying the ENSO mechanism[J].Progress in Natural Science:Materials International,2004,14(12):1126-1128. 被引量：36
4Jia-qiMo,Wan-taoLin.A Nonlinear Singularly Perturbed Problem for Reaction Diffusion Equations with Boundary Perturbation[J].Acta Mathematicae Applicatae Sinica,2005,21(1):101-104. 被引量：50
5莫嘉琪,王辉,林万涛,林一骅.赤道东太平洋SST的海-气振子模型[J].物理学报,2006,55(1):6-9. 被引量：19
6莫嘉祺,王辉,林万涛,林一骅.Variational iteration method for solving the mechanism of the Equatorial Eastern Pacific El Nino-Southern Oscillation[J].Chinese Physics B,2006,15(4):671-675. 被引量：35
7莫嘉琪,张伟江,何铭.激光脉冲放大器传输波的计算[J].物理学报,2006,55(7):3233-3236. 被引量：25
8莫嘉琪,张伟江,何铭.强非线性发展方程孤波近似解[J].物理学报,2007,56(4):1843-1846. 被引量：25
9莫嘉琪,张伟江,陈贤峰.一类具有跳跃层的非线性反应扩散系统的渐近行为(英文)[J].数学进展,2007,36(5):631-636. 被引量：2
10莫嘉琪,张伟江,陈贤峰.强非线性发展方程孤波同伦解法[J].物理学报,2007,56(11):6169-6172. 被引量：25

共引文献160

1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
2Jingsun 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.
3Jiaqi 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
4Lihua 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.
5Lihua Chen (Dept. of Math. and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing 350300, Fujian) Zhaohui Wen (Institute of Applied Math., School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui) Cheng Ouyang (Faculty of Science, Huzhou Teacher College, Huzhou 313000, Zhejiang) Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui).THE CORNER LAYER SOLUTION TO ROBIN PROBLEM FOR REACTION DIFFUSION EQUATION[J].Annals of Differential Equations,2012,28(2):132-136.
6莫嘉琪,林万涛.Asymptotic solution for a class of sea-air oscillator model for El Nio-southern oscillation[J].Chinese Physics B,2008,17(2):370-372. 被引量：39
7林万涛,莫嘉琪.一类全球气候气-海耦合振子机理的近似解析解[J].物理学报,2008,57(5):2633-2637. 被引量：2
8莫嘉琪,陈丽华.具有两参数的椭圆型方程Robin问题解的渐近性态[J].武汉大学学报（理学版）,2008,54(3):255-258. 被引量：4
9陈丽华.两参数的反应扩散方程Robin问题的奇摄动[J].中山大学学报（自然科学版）,2008,47(4):11-14. 被引量：4
10刘树德,莫嘉琪.两参数反应扩散方程解的渐近性态(英文)[J].应用数学,2009,22(1):42-47. 被引量：1

1韩祥临,林万涛,许永红,莫嘉琪.拟线性方程Robin问题的内层和边界层解[J].应用数学学报,2016,39(4):531-536.
2温朝晖,莫嘉琪.一类两参数半线性椭圆型方程的渐近解(英文)[J].复旦学报（自然科学版）,2011,50(6):714-719.
3徐承龙.无界区域中半线性椭圆型方程的渐近解[J].数学年刊（A辑）,1991,12(4):407-414.
4莫嘉琪,S. Shao.高阶半线性椭圆型方程奇摄动边值问题(英文)[J].数学进展,2001,30(2):141-148. 被引量：91
5吴启光.差分方程奇异摄动问题的渐近解[J].应用数学和力学,1989,10(12):1033-1039.
6莫嘉琪.双参数奇摄动高阶半线性椭圆型方程的渐近解[J].数学年刊（A辑）,2010,31(3):331-336. 被引量：3
7濮来武.带有双参数Robin边值问题的渐近解[J].南京建筑工程学院学报,1996(2):23-29.
8杨万利.高阶半线性椭圆型方程解的存在性[J].河北师范大学学报（自然科学版）,1990,14(3):1-7.
9仉志余.一类二阶泛函微分方程的渐近性和振动性[J].太原机械学院学报,1990,11(2):8-22.
10张汉林,陈秀.一类二阶非线性Robin问题奇摄动解的估计[J].上海工业大学学报,1991,12(2):103-109.

应用数学

2011年第2期

浏览历史

内容加载中请稍等...

椭圆型方程的内层和边界层渐近解(英文)

参考文献4

二级参考文献19

共引文献160

相关作者

相关机构

相关主题

浏览历史