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.
Citation
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.
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