Abstract
We study the zero Mach number limit of classical solutions to the compressible Euler equations for nonisentropic fluids in a domain ω ⊂ ℝd (d = 2 or 3). We consider the case of general initial data. For a domain ω, bounded or unbounded, we first prove the existence of classical solutions for a time independent of the small parameter. Then, in the exterior case, we prove that the solutions converge to the solution of the incompressible Euler equations.
| Original language | English |
|---|---|
| Pages (from-to) | 19-44 |
| Number of pages | 26 |
| Journal | Advances in Differential Equations |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2005 |
| Externally published | Yes |