Asymptotic analysis of the full Navier–Stokes–Fourier system: From compressible to incompressible fluid flows

This is a survey of new results related to the study of the full Navier–Stokes–Fourier system for a general compressible, viscous, and heat conducting fluid, and its asymptotic behaviour as the Mach number approaches zero. The classical Navier–Stokes system for an incompressible fluid with lift, combined with the corresponding heat equation, is a limiting case.