Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains

Abstract

This paper studies the incompressible limit of the non-isentropic Navier-Stokes equations for viscous polytropic flows with zero thermal coefficient in three-dimensional bounded C4-domains. The uniform estimates in the Mach number, which exclude the estimate of high-order derivatives of the velocity in the normal directions to the boundary, are established within a short time interval independent of Mach number εε(0,1], provided that the initial data are well-prepared.