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Annali di Matematica Pura ed Applicata (1923 -)

, Volume 193, Issue 6, pp 1703–1725 | Cite as

Scale interactions in compressible rotating fluids

  • Eduard Feireisl
  • Antonín Novotný
Article

Abstract

We study a triple singular limit for the scaled barotropic Navier–Stokes system modeling the motion of a rotating, compressible, and viscous fluid, where the Mach and Rossby numbers are proportional to a small parameter \(\varepsilon \), while the Reynolds number becomes infinite for \(\varepsilon \rightarrow 0\). If the fluid is confined to an infinite slab bounded above and below by two parallel planes, the limit behavior is identified as a purely horizontal motion of an incompressible inviscid fluid, the evolution of which is described by an analogue of the Euler system.

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institute of MathematicsAcademy of Sciences of the Czech RepublicPrague 1Czech Republic
  2. 2.Faculty of Mathematics and Physics, Mathematical InstituteCharles University in PraguePrague 8Czech Republic
  3. 3.IMATH, EA 2134Université du Sud Toulon-VarLa GardeFrance

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