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arXiv · 1307.6030

Inviscid incompressible limits under mild stratification: A rigorous derivation of the Euler-Boussinesq system

Eduard Feireisl·Antonin Novotny
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Abstract

We consider the full Navier-Stokes-Fourier system in the singular regime of small Mach and large Reynolds and Peclet numbers, with ill prepared initial data on an unbounded domain in the three dimensional Euclidean space with a compact boundary. We perform the singular limit in the framework of weak solutions and identify the Euler-Boussinesq system as the target problem.

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Eduard Feireisl, Antonin Novotny. 2013-07-23. Inviscid incompressible limits under mild stratification: A rigorous derivation of the Euler-Boussinesq system. https://arxiv.org/abs/1307.6030

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