arXiv:1302.0176 Abstract | arXiv Analytics

arXiv:1302.0176 [math.AP]Abstract References Reviews Resources

Scale interactions in compressible rotating fluids

Published 2013-02-01Version 1

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, while the Reynolds number becomes infinite. 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.

Categories: math.AP

Subjects: 35Q30

Keywords: compressible rotating fluids, scale interactions, triple singular limit, scaled barotropic navier-stokes system modeling, incompressible inviscid fluid

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