Low Mach and thin domain limit for the compressible Euler system

2020/01/24 by Matteo Caggio, Caggio, Matteo, Bernard Ducomet +5
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2001.09162

openalex publication_date 2020/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer Ω_δ=(0,δ)×ℝ², δ>0. In the framework of dissipative measure-valued solutions, we show the convergence to the strong solution of the 2D incompressible Euler system when the Mach number tends to zero and δ→0.

Citations

• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

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