Self-similar solutions to Lin-Reissner-Tsien equation
Abbreviated Journal Title
Appl. Math. Mech.-Engl. Ed.
Lin-Reissner-Tsien equation; self-similar solution; transonic; approximation; nonlinear partial differential equation; TRANSONIC-FLOWS; Mathematics, Applied; Mechanics
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.
Applied Mathematics and Mechanics-English Edition
"Self-similar solutions to Lin-Reissner-Tsien equation" (2011). Faculty Bibliography 2010s. 1367.