Singular Nonlinear Boundary Value Problems Arising in the Boundary Layer Behind Expansion Wave
Received:May 15, 2006  Revised:August 28, 2006
Key Words: expansion wave   boundary layer   singular boundary value problems   existence and uniqueness   positive solution   skin friction   estimation.  
Fund Project:the National Natural Science Foundation of China (No.50476083).
Author NameAffiliation
XU Yun Bin Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China
Department of Mathematics, Yulin College, Shanxi 719000, China 
ZHENG Lian Cun Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China 
Hits: 3147
Download times: 2221
Abstract:
      A class of singular nonlinear boundary value problems arising in the boundary layer behind expansion wave are studied. Sufficient conditions for the existence and uniqueness of positive solutions to the problems are established by utilizing the monotonic approaching technique. And a theoretical estimate formula for skin friction coefficient is presented. The numerical solution is presented by using the shoot method. The reliability and efficiency of the theoretical prediction are verified by numerical results.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.03.014
View Full Text  View/Add Comment