An anelastic approximation arising in astrophysics
arXiv:1604.05860 · doi:10.1007/s00208-016-1507-x
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.
Updated to author's accepted manuscript