An anelastic approximation arising in astrophysics
Analysis of PDEs
2021-03-19 v2
Abstract
We identify the asymptotic limit of the compressible non-isentropic Navier-Stokes system in the regime of low Mach, low Froude and high Reynolds number. The system is driven by a long range gravitational potential. We show convergence to an anelastic system for ill-prepared initial data. The proof is based on frequency localized Strichartz estimates for the acoustic equation based on the recent work of Metcalfe and Tataru.
Cite
@article{arxiv.1604.05860,
title = {An anelastic approximation arising in astrophysics},
author = {Donatella Donatelli and Eduard Feireisl},
journal= {arXiv preprint arXiv:1604.05860},
year = {2021}
}
Comments
Updated to author's accepted manuscript