Scale interactions in compressible rotating fluids

Eduard Feireisl; Antonin Novotny

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arXiv · 1302.0176

Scale interactions in compressible rotating fluids

Eduard Feireisl·Antonin Novotny

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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, 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.

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Eduard Feireisl, Antonin Novotny. 2013-02-01. Scale interactions in compressible rotating fluids. https://arxiv.org/abs/1302.0176

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