On the low Mach number limit of compressible flows in exterior moving domains

2014/07/10 by Eduard Feireisl, Ondřej Kreml, Feireisl, Eduard +5
Engineering · Mathematics · #35Q35 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #math.AP #msc:35Q35

paper · pdf · doi:10.48550/arxiv.1407.2818

arxiv created 2014/07/10 · openalex publication_date 2014/07/10 · arxiv updated 2014/07/11 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We study the incompressible limit of solutions to the compressible barotropic Navier-Stokes system in the exterior of a bounded domain undergoing a simple translation. The problem is reformulated using a change of coordinates to fixed exterior domain. Using the spectral analysis of the wave propagator, the dispersion of acoustic waves is proved by the means of the RAGE theorem. The solution to the incompressible Navier-Stokes equations is identified as a limit.

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