Multi-scale analysis of compressible viscous and rotating fluids
Analysis of PDEs
2015-05-27 v1
Abstract
We study a singular limit for the compressible Navier-Stokes system when the Mach and Rossby numbers are proportional to certain powers of a small parameter . If the Rossby number dominates the Mach number, the limit problem is represented by the 2-D incompressible Navier-Stokes system describing the horizontal motion of vertical averages of the velocity field. If they are of the same order then the limit problem turns out to be a linear, 2-D equation with a unique radially symmetric solution. The effect of the centrifugal force is taken into account.
Cite
@article{arxiv.1104.3030,
title = {Multi-scale analysis of compressible viscous and rotating fluids},
author = {Eduard Feireisl and Isabelle Gallagher and David Gérard-Varet and Antonin Novotny},
journal= {arXiv preprint arXiv:1104.3030},
year = {2015}
}