Title

Self-Similar Solutions To Lin-Reissner-Tsien Equation

Keywords

Lin-Reissner-Tsien equation; nonlinear partial differential equation; self-similar solution; transonic approximation

Abstract

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. © 2011 Shanghai University and Springer-Verlag Berlin Heidelberg.

Publication Date

11-1-2011

Publication Title

Applied Mathematics and Mechanics (English Edition)

Volume

32

Issue

11

Number of Pages

1447-1456

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s10483-011-1514-6

Socpus ID

81855218286 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/81855218286

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