Self-similar solutions to Lin-Reissner-Tsien equation

作     者：J.HAUSSERMANN K.VAJRAVELU R.A.VAN GORDER 

作者机构：Department of Mathematics University of Central FloridaP.O.Box 161364OrlandoFlorida 32816-1364USA 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2011年第32卷第11期

页      面：1447-1456页

核心收录：

学科分类：080704[工学-流体机械及工程] 07[理学] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Lin-Reissner-Tsien equation self-similar solution transonic approximation,nonlinear partial differential equation 

摘      要：The Lin-Reissner-Tsien equation describes unsteady transonic flows under the transonic approximation. In the present paper, the equation is reduced to an ordinary differential equation via a similarity transformation. The resulting equation is then solved analytically and even exactly in some cases. Numerical simulations are provided for the cases in which there is no exact solution. Travelling wave solutions are also obtained.