Abstract
We consider the incompressible limit of the compressible Euler equation in the half-space R+n. It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial data υ0∞ do not satisfy the condition `▽·v0∞ = 0', then the initial layer will appear.
| Original language | English |
|---|---|
| Pages (from-to) | 945-958 |
| Number of pages | 14 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 20 |
| Issue number | 1 |
| Publication status | Published - 1997 Jan 1 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Engineering(all)