Contents Online
Methods and Applications of Analysis
Volume 10 (2003)
Number 2
The Generic Solution of the Riemann Problem in a Neighborhood of a Point of Reaonance for Systems of Nonlinear Balance Laws
Pages: 279 – 294
DOI: https://dx.doi.org/10.4310/MAA.2003.v10.n2.a7
Authors
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.
Published 1 January 2003