### Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions

Thomas Alazard

#### Abstract

We study the zero Mach number limit of classical solutions to the compressible Euler equations for nonisentropic fluids in a domain $\Omega \subset \mathbb R^d$ ($d=2$ or $3$). We consider the case of general initial data. For a domain $\Omega$, 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.

#### Article information

Source
Adv. Differential Equations Volume 10, Number 1 (2005), 19-44.

Dates
First available in Project Euclid: 18 December 2012