Abstract
We construct semi-hyperbolic patches of solutions, in which one family out of two nonlinear families of characteristics starts on sonic curves and ends on transonic shock waves, to the two-dimensional Euler equations. This type of solution appears in the transonic flow over an airfoil and Guderley reflection, and is common in the numerical solutions of Riemann problems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1069-1096 |
| Number of pages | 28 |
| Journal | Archive for Rational Mechanics and Analysis |
| Volume | 201 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2011 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering