Low Mach number limit for the non-isentropic Navier–Stokes equations

We study the low Mach number limit of the local in time solutions to the compressible Navier–Stokes equations with zero heat conductivity coefficient as the Mach number tends to zero. A uniform existence result for the one-dimensional initial–boundary value problem is proved provided that the initial data are “well-prepared” in the sense that the temporal derivatives up to order two are bounded initially.