English

On a singular limit for stratified compressible fluids

Analysis of PDEs 2018-05-18 v2

Abstract

We consider a singular limit problem for the complete compressible Euler system in the low Mach and strong stratification regime. We identify the limit problem - the anelastic Euler system - in the case of well prepared initial data. The result holds in the large class of the dissipative measure-valued solutions of the primitive system. Applications are discussed to the driven shallow water equations.

Keywords

Cite

@article{arxiv.1802.10340,
  title  = {On a singular limit for stratified compressible fluids},
  author = {Gabriele Bruell and Eduard Feireisl},
  journal= {arXiv preprint arXiv:1802.10340},
  year   = {2018}
}
R2 v1 2026-06-23T00:36:29.601Z