Methods and Applications of Analysis

Wave Interactions for the Pressure Gradient Equations

T. Raja Sekhar and V. D. Sharma

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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.

Article information

Methods Appl. Anal., Volume 17, Number 2 (2010), 165-178.

First available in Project Euclid: 21 February 2011

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35L60: Nonlinear first-order hyperbolic equations 35L65: Conservation laws 76L05: Shock waves and blast waves [See also 35L67] 76N15: Gas dynamics, general

Pressure-gradient equations wave interactions Riemann problem shock rarefaction wave


Sekhar, T. Raja; Sharma, V. D. Wave Interactions for the Pressure Gradient Equations. Methods Appl. Anal. 17 (2010), no. 2, 165--178.

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