Abstract
We construct classical self-similar solutions to the interaction of two arbitrary planar rarefaction waves for the Euler equations in two space dimensions via the characteristics analysis without the hodograph transformations. We succeed in the case that the interaction (half ) angle is between π=6 and π/2 for gas constant gamma between one and two.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 231-256 |
| Number of pages | 26 |
| Journal | Indiana University Mathematics Journal |
| Volume | 59 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2010 |
All Science Journal Classification (ASJC) codes
- General Mathematics