Singular limits for compressible inviscid rotating fluids

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 $\epsilon$. 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.

References in corpus (5)

• On the low Mach number limit for the compressible Euler system
• Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions
• $\mathcal{K}-$convergence as a new tool in numerical analysis
• Existence of measure-valued solutions to a complete Euler system for a perfect gas
• Low stratifucation of the complete Euler system