Geodesic
Asymptotic analysis of the full Navier--Stokes--Fourier system: From compressible to incompressible fluid flows
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 62 (2007) no. 3, pp. 511-533

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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. 
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     author = {E. Feireisl},
     title = {Asymptotic analysis of the full {Navier--Stokes--Fourier} system: {From} compressible to incompressible fluid flows},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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E. Feireisl. Asymptotic analysis of the full Navier--Stokes--Fourier system: From compressible to incompressible fluid flows. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 62 (2007) no. 3, pp. 511-533. http://geodesic.mathdoc.fr/item/RM_2007_62_3_a5/