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


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.


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


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

zbMATH: 1211.35190
MathSciNet: MR2763575

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

Keywords: Pressure-gradient equations , rarefaction wave , Riemann problem , Shock , wave interactions

Rights: Copyright © 2010 International Press of Boston

Vol.17 • No. 2 • June 2010
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