Abstract:
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.
Citation:
E. Feireisl, “Asymptotic analysis of the full Navier–Stokes–Fourier system: From compressible to incompressible fluid flows”, Russian Math. Surveys, 62:3 (2007), 511–533
\Bibitem{Fei07}
\by E.~Feireisl
\paper Asymptotic analysis of the full Navier--Stokes--Fourier system: From compressible to incompressible fluid flows
\jour Russian Math. Surveys
\yr 2007
\vol 62
\issue 3
\pages 511--533
\mathnet{http://mi.mathnet.ru/eng/rm6803}
\crossref{https://doi.org/10.1070/RM2007v062n03ABEH004416}
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Linking options:
https://www.mathnet.ru/eng/rm6803
https://doi.org/10.1070/RM2007v062n03ABEH004416
https://www.mathnet.ru/eng/rm/v62/i3/p169
This publication is cited in the following 5 articles:
Bin Han, Ningan Lai, Andrei Tarfulea, “The global existence of strong solutions for a non-isothermal ideal gas system”, Acta Math Sci, 44:3 (2024), 865
Liu Ch., Sulzbach J.-E., “The Brinkman-Fourier System With Ideal Gas Equilibrium”, Discret. Contin. Dyn. Syst., 42:1 (2022), 425–462
Herbin R., Latche J.-C., Saleh K., “Low Mach Number Limit of Some Staggered Schemes For Compressible Barotropic Flows”, Math. Comput., 90:329 (2021), 1039–1087
Plotnikov P.I., Ruban E.V., Sokolowski J., “Inhomogeneous boundary value problems for compressible Navier–Stokes and transport equations”, J. Math. Pures Appl. (9), 92:2 (2009), 113–162
A. E. Mamontov, “Globalnaya razreshimost mnogomernykh uravnenii szhimaemoi nenyutonovskoi zhidkosti, transportnoe uravnenie i prostranstva Orlicha”, Sib. elektron. matem. izv., 6 (2009), 120–165
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