| 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.
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| Fund Project:the National Natural Science Foundation of China (No.50476083). |
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| 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 |
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