Title
The Riemann problem for the pressure-gradient system in three pieces
Abstract
The Riemann problem for a two-dimensional pressure-gradient system is considered. The initial data are three constants in three fan domains forming different angles. Under the assumption that only a rarefaction wave, shock wave or contact discontinuity connects two neighboring constant initial states, it is proved that the cases involving three rarefaction waves are impossible. For the cases involving one shock (rarefaction) wave and two rarefaction (shock) waves, only the combinations when the three elementary waves have the same sign are possible (impossible).
Year
DOI
Venue
2009
10.1016/j.aml.2008.04.012
Applied Mathematics Letters
Keywords
Field
DocType
Two-dimensional Riemann problem,Pressure-gradient system,Compatibility conditions
Mathematical analysis,Longitudinal wave,Discontinuity (linguistics),Shock wave,Pressure gradient,Mathematics,Riemann problem,Rarefaction
Journal
Volume
Issue
ISSN
22
4
0893-9659
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Chun Shen1153.15
Meina Sun232.67