The incompressible limit of the non-isentropic Euler equations

We study the Euler equations for slightly compressible fluids, that is, aft er rescaling, the limits of the Euler equations of fluid dynamics as the Ma ch number tends to zero. In this paper, we consider the general non-isentro pic equations and general data. We first prove the existence of classical s olutions for a time independent of the small parameter. Then, on the whole space R-d, we prove that the solution converges to the solution of the inco mpressible Euler equations.