Title

Self-similar solutions to Lin-Reissner-Tsien equation

Authors

Authors

J. Haussermann; K. Vajravelu;R. A. Van Gorder

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Appl. Math. Mech.-Engl. Ed.

Keywords

Lin-Reissner-Tsien equation; self-similar solution; transonic; approximation; nonlinear partial differential equation; TRANSONIC-FLOWS; Mathematics, Applied; Mechanics

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.

Journal Title

Applied Mathematics and Mechanics-English Edition

Volume

32

Issue/Number

11

Publication Date

1-1-2011

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s10483-011-1514-6

Language

English

First Page

1447

Last Page

1456

WOS Identifier

WOS:000296922300009

ISSN

0253-4827

Recommended Citation

"Self-similar solutions to Lin-Reissner-Tsien equation" (2011). Faculty Bibliography 2010s. 1367.
https://stars.library.ucf.edu/facultybib2010/1367