Translator Disclaimer
June 2010 Wave Interactions for the Pressure Gradient Equations
T. Raja Sekhar, V. D. Sharma
Methods Appl. Anal. 17(2): 165-178 (June 2010).

Abstract

In this paper, we solve the Riemann problem for a coupled hyperbolic system of conservation laws, which arises as an intermediate model in the flux splitting method for the computation of Euler equations in gasdynamics. We study the properties of solutions involving shock and rarefaction waves, and establish their existence and uniqueness. We present numerical examples for different initial data, and finally discuss all possible elementary wave interactions; it is noticed that in certain cases the resulting wave pattern after interaction is substantially different from that which arises in isentropic gasdynamics.

Citation

Download Citation

T. Raja Sekhar. V. D. Sharma. "Wave Interactions for the Pressure Gradient Equations." Methods Appl. Anal. 17 (2) 165 - 178, June 2010.

Information

Published: June 2010
First available in Project Euclid: 21 February 2011

zbMATH: 1211.35190
MathSciNet: MR2763575

Subjects:
Primary: 35L60, 35L65, 76L05, 76N15

Rights: Copyright © 2010 International Press of Boston

JOURNAL ARTICLE
14 PAGES


SHARE
Vol.17 • No. 2 • June 2010
Back to Top