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Analytic decomposition and numerical procedure for solving the singular boundary value problem arising in viscous flows 被引量：1

Analytic decomposition and numerical procedure for solving the singular boundary value problem arising in viscous flows

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作者 Liancun Zheng Fei Ma Jing Zhu Xinxin Zhang

机构地区 Applied Science School Mechanical Engineering School

出处《Journal of University of Science and Technology Beijing》 CSCD 2006年第3期226-229,共4页 北京科技大学学报（英文版）

基金 The work was financially supported by the National Natural Science Foundation of China (No.50476083) and the Cross-CenturyTalents Projects of the Educational Ministry of China.

关键词 singular nonlinear boundary value problem analytical decomposition boundary layer similarity solution singular nonlinear boundary value problem analytical decomposition boundary layer similarity solution

分类号 O357.4 [理学—流体力学]

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参考文献2

1E. Magyari,I. Pop,B. Keller.The “missing” similarity boundary-layer flow over a moving plane surface[J].Zeitschrift für angewandte Mathematik und Physik.2002(5)
2K. Vajravelu,R. N. Mohapatra.On fluid dynamic drag reduction in some boundary layer flows[J].Acta Mechanica (-).1990(1-2)

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2郑连存,盛晓艳,张欣欣.一类Marangoni对流边界层方程的近似解析解[J].物理学报,2006,55(10):5298-5304. 被引量：7
3朱婧,郑连存,张欣欣.具有延伸表面的驻点流动和传热问题的级数解[J].应用数学和力学,2009,30(4):432-442. 被引量：14
4张艳,郑连存,张欣欣.边界耦合的Marangoni对流边界层问题的近似解析解[J].物理学报,2009,58(8):5501-5506. 被引量：4
5朱恂,辛明道.滑移流区内微环缝槽道中的层流流动与换热[J].工程热物理学报,2001,22(2):203-206. 被引量：9

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1朱婧,郑连存,张欣欣.上随体流体驻点附近滑移流动的同伦解析解[J].力学学报,2011,43(1):39-44. 被引量：1

二级引证文献1

1朱婧,郑连存,张志刚.同轴圆柱间滑移旋转流动问题的同伦解析解[J].力学学报,2012,44(2):451-455.

1Cui Yujun,Zou Yumei,Li Hongyu.POSITIVE SOLUTION OF SECOND ORDER SINGULAR BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2007,23(1):1-7.
2韦忠礼.MULTIPLE POSITIVE SOLUTIONS OF NONRESONANT SINGULAR BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2003,19(2):209-219. 被引量：3
3严平,林支桂.STATIONARY STRUCTURES FOR A WEAKLY COUPLED ELLIPTIC SYSTEM ARISING IN TWO-PREDATOR, TWO-PREY MODELS[J].Acta Mathematica Scientia,2001,21(4):453-459.
4Hong-zhou Wang, Li-hu Deng, Wei-gao GeDepartment of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China.Existence of Nonnegative Solutions to Singular Semi-positone Problems[J].Acta Mathematicae Applicatae Sinica,2002,18(3):523-528. 被引量：1
5LIUJIAQUAN,ZENGPING＇AN,XIONGMING.POSITIVE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEM OF SECOND ORDER[J].Chinese Annals of Mathematics,Series B,2004,25(3):383-392. 被引量：2
6唐仲伟.EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION ARISING IN ASTROPHYSICS[J].Acta Mathematica Scientia,2006,26(2):229-245. 被引量：1
7谢福鼎,闫振亚,张鸿庆.SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM[J].Applied Mathematics and Mechanics(English Edition),2002,23(4):380-386.
8蒋达清,赵宏亮,王俊禹.A SINGULAR BOUNDARY VALUE PROBLEM FROM DRAINING AND COATING FLOWS INVOLVING A THIRD-ORDER ORDINARY DIFFERENTIAL EQUATION[J].Annals of Differential Equations,1999,15(4):378-388.
9Jinjun Fan,Yinghua Yang (School of Mathematical Science,Shandong Normal University,Jinan 250014).POSITIVE SOLUTIONS TO A SEMIPOSITONE SINGULAR NEUMANN BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2009,25(3):301-308.
10XU Yun Bin,ZHENG Lian Cun.Singular Nonlinear Boundary Value Problems Arising in the Boundary Layer Behind Expansion Wave[J].Journal of Mathematical Research and Exposition,2008,28(3):558-566. 被引量：1

Journal of University of Science and Technology Beijing

2006年第3期

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