Journal Title
Title of Journal: Annali di Matematica
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Abbravation: Annali di Matematica Pura ed Applicata (1923 -)
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Publisher
Springer Berlin Heidelberg
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Authors: Eduard Feireisl Antonín Novotný
Publish Date: 2013/05/22
Volume: 193, Issue: 6, Pages: 1703-1725
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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