Publication at Faculty of Mathematics and Physics |
2013
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 ε , while the Reynolds number becomes infinite for ε→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.