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arXiv · 1907.06784

Singular limits for compressible inviscid rotating fluids

Nilasis Chaudhuri
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Abstract

We study singular limit for scaled barotropic Euler system modelling a rotating, compressible and inviscid fluid, where Mach and Rossby numbers are proportional to a small parameter $ε$. If the fluid is confined to an infinite slab, the limit behaviour is identified as a horizontal motion of an incompressible inviscid system that is analogous to the Euler system. We consider a very general class of solutions, named dissipative solution for the scaled compressible Euler systems and will show that it converges to a strong solution of that incompressible inviscid system.

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Nilasis Chaudhuri. 2019-07-15. Singular limits for compressible inviscid rotating fluids. https://arxiv.org/abs/1907.06784

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