Low Mach number limit of viscous polytropic fluid flows

This paper studies the singular limit of the non-isentropic Navier–Stokes equations with zero thermal coefficient in a two-dimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained in a time interval independent of the Mach number, provided that the initial data satisfy the “bounded derivative conditions”, that is, the time derivatives up to order two are bounded initially, and Navierʼs slip boundary condition is imposed.