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arXiv · 1604.05860

An anelastic approximation arising in astrophysics

Donatella Donatelli·Eduard Feireisl
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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.

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Donatella Donatelli, Eduard Feireisl. 2016-04-20. An anelastic approximation arising in astrophysics. https://doi.org/10.1007/s00208-016-1507-x

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