Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843335 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
The Riemann problem for two-dimensional isentropic Euler equations 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 shock or rarefaction waves are impossible. For the cases involving one rarefaction (shock) wave and two shock (rarefaction) waves, only the combinations when the three elementary waves have the same sign are possible (impossible).
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Authors
Meina Sun, Chun Shen,