1Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China. E-mail: liancunzheng@sina.com
2Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, China. E-mail: xxzhang@me.ustb.edu.cn
AMS subject classification: 34B15.
A rigorous proof for existence and uniqueness of solutions to a class of singular nonlinear boundary value problems arising in viscous flow and heat transfer behind a shock wave is made and a theoretical estimate formula for the skin friction coefficient is presented. The formula can be successfully applied to estimate the value of the skin friction coefficient. The correctness of the analytical predictions is verified by the numerical results.
Shock wave, boundary layer, existence and uniqueness, skin friction, estimation
