English

A singular limit for compressible rotating fluids

Analysis of PDEs 2010-09-10 v1

Abstract

We consider a singular limit problem for the Navier-Stokes system of a rotating compressible fluid, where the Rossby and Mach numbers tend simultaneously to zero. The limit problem is identified as the 2-D Navier-Stokes system in the ``horizontal'' variables containing an extra term that accounts for compressibility in the original system.

Keywords

Cite

@article{arxiv.1009.1802,
  title  = {A singular limit for compressible rotating fluids},
  author = {Eduard Feireisl and Isabelle Gallagher and Antonin Novotny},
  journal= {arXiv preprint arXiv:1009.1802},
  year   = {2010}
}
R2 v1 2026-06-21T16:11:45.488Z