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Zbl 1214.76008
Feireisl, Eduard; Novotný, Antonin
The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. (English)
[J] J. Math. Fluid Mech. 11, No. 2, 274-302 (2009). ISSN 1422-6928; ISSN 1422-6952/e

The authors show that the Oberbeck-Boussinesq system can be obtained as an asymptotic limit of the complete Navier-Stokes-Fourier system provided both Mach and Froude numbers tend to zero. The authors study this asymptotic limit in the context of weak variational solutions on a large interval of time and in terms of ill-prepared initial data.
[Mirela Kohr (Cluj-Napoca)]

MSC 2000:: *76N10 Compressible fluids, general
35Q30 Stokes and Navier-Stokes equations

Keywords: low Mach number limit; ill-prepared data; asymptotic limit; weak variational solutions

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