Abstract
We study a singular limit for the scaled Navier-Stokes-Fourier system, where the Mach, Froude, and Péclet numbers tend to zero. As a limit problem, we recover a model proposed by Chandrasekhar as a simple alternative to the Oberbeck-Boussinesq system applicable in stellar radiative zones.
The work of E.F. was supported by Grant 201/05/0164 of GA CR in the general framework of research programmes supported by the Academy of Sciences of the Czech Republic, Institutional Research Plan AV0Z10190503 and partially by the Université du Sud Toulon-Var The work of A.N. was supported by the Nečas Center for Mathematical Modeling (LC06052) financed by MSMT.
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Dedicated to the memory of Alexander Kazhikov
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Feireisl, E., Novotný, A. (2009). Small Péclet Number Approximation as a Singular Limit of the Full Navier-Stokes-Fourier System with Radiation. In: Fursikov, A.V., Galdi, G.P., Pukhnachev, V.V. (eds) New Directions in Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0152-8_8
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