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June 2003 The Generic Solution of the Riemann Problem in a Neighborhood of a Point of Reaonance for Systems of Nonlinear Balance Laws
John Hong, Blake Temple
Methods Appl. Anal. 10(2): 279-294 (June 2003).

Abstract

We describe the generic solution of the Riemann problem near a point of resonance in a general 2x2 system of balance laws coupled to a stationary source. The source is treated as a conserved quantity in an augmented 3x3 system, and Resonance is between a nonlinear wave family and the stationary source. Transonic compressible Euler flow in a variable area duct, as well as spherically symmetric flow, are shown to be special cases of the general class of equations studied here.

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John Hong. Blake Temple. "The Generic Solution of the Riemann Problem in a Neighborhood of a Point of Reaonance for Systems of Nonlinear Balance Laws." Methods Appl. Anal. 10 (2) 279 - 294, June 2003.

Information

Published: June 2003
First available in Project Euclid: 17 June 2005

zbMATH: 1081.35042
MathSciNet: MR2074752

Rights: Copyright © 2003 International Press of Boston

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Vol.10 • No. 2 • June 2003
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