The Generic Solution of the Riemann Problem in a Neighborhood of a Point of Reaonance for Systems of Nonlinear Balance Laws
Hong, John ; Temple, Blake
Methods Appl. Anal., Tome 10 (2003) no. 3, p. 279-294 / Harvested from Project Euclid
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.
Publié le : 2003-06-14
Classification: 
@article{1119018757,
     author = {Hong, John and Temple, Blake},
     title = {The Generic Solution of the Riemann Problem in a Neighborhood
of a Point of Reaonance for Systems of Nonlinear Balance Laws},
     journal = {Methods Appl. Anal.},
     volume = {10},
     number = {3},
     year = {2003},
     pages = { 279-294},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1119018757}
}
Hong, John; Temple, Blake. The Generic Solution of the Riemann Problem in a Neighborhood
of a Point of Reaonance for Systems of Nonlinear Balance Laws. Methods Appl. Anal., Tome 10 (2003) no. 3, pp.  279-294. http://gdmltest.u-ga.fr/item/1119018757/