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Inviscid Incompressible Limits of the Full Navier-Stokes-Fourier System

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Abstract

We consider the full Navier-Stokes-Fourier system in the singular limit for the small Mach and large Reynolds and Péclet numbers, with ill prepared initial data on R 3. The Euler-Boussinesq approximation is identified as the limit system.

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Authors and Affiliations

  1. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Eduard Feireisl

  2. Erwin Schroedinger International Institute for Mathematical Physics, Boltzmanngasse 9, 1090, Vienna, Austria

    Eduard Feireisl

  3. IMATH, EA 2134, Université du Sud Toulon-Var, B̌P 20132, 83957, La Garde, France

    Antonín Novotný

Authors
  1. Eduard Feireisl
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  2. Antonín Novotný
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Correspondence to Eduard Feireisl.

Additional information

Communicated by P. Constantin

The work was supported by Grant 201/09/ 0917 of GA ČR and by RVO: 67985840.

The work was partially supported by RVO: 67985840.

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Feireisl, E., Novotný, A. Inviscid Incompressible Limits of the Full Navier-Stokes-Fourier System. Commun. Math. Phys. 321, 605–628 (2013). https://doi.org/10.1007/s00220-013-1691-4

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  • DOI: https://doi.org/10.1007/s00220-013-1691-4

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