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Suitable weak solutions: from compressible viscous to incompressible inviscid fluid flows

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Abstract

We establish the asymptotic limit of the compressible Navier–Stokes system in the regime of low Mach and high Reynolds number on unbounded spatial domains with slip boundary condition. The result holds in the class of suitable weak solutions satisfying a relative entropy inequality.

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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 & Hana Petzeltová

  2. IMATH, Université du Sud Toulon-Var, BP 132, 839 57 , La Garde, France

    Antonín Novotný

Authors
  1. Eduard Feireisl
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  2. Antonín Novotný
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  3. Hana Petzeltová
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Corresponding author

Correspondence to Eduard Feireisl.

Additional information

Eduard Feireisl work was supported by Grant 201/09/ 0917 of GA ČR as a part of the general research programme of the Academy of Sciences of the Czech Republic, Institutional Research Plan AV0Z10190503. Antonín Novotný work was partially supported the research programme of the Academy of Sciences of the Czech Republic, Institutional Research Plan AV0Z10190503. Hana Petzeltová work was supported the research programme of the Academy of Sciences of the Czech Republic, Institutional Research Plan AV0Z10190503.

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Feireisl, E., Novotný, A. & Petzeltová, H. Suitable weak solutions: from compressible viscous to incompressible inviscid fluid flows. Math. Ann. 356, 683–702 (2013). https://doi.org/10.1007/s00208-012-0862-5

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  • DOI: https://doi.org/10.1007/s00208-012-0862-5

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