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arxiv: 1802.10340 · v2 · pith:2ZZF42LLnew · submitted 2018-02-28 · 🧮 math.AP

On a singular limit for stratified compressible fluids

classification 🧮 math.AP
keywords limitsystemcompressibleeulerproblemsingularanelasticapplications
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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.

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  1. Singular limits for compressible inviscid rotating fluids

    math.AP 2019-07 unverdicted novelty 5.0

    Dissipative solutions of scaled compressible rotating Euler equations converge to strong solutions of a 2D horizontal incompressible Euler system in an infinite slab as Mach and Rossby numbers vanish proportionally to ε.