Γ-convergence for nearly incompressible fluids

2022/12/13 by Peter Bella, Eduard Feireisl, Bella, Peter +3 · 1 citation
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2212.06729

openalex publication_date 2022/12/13 · openalex created_date 2022/12/27 · openalex updated_date 2026/07/28

Abstract

We consider the time-dependent compressible Navier--Stokes equations in the low Mach number regime in a family of domains Ω_ε⊂ R^d converging in the sense of Mosco to a domain Ω⊂ R^d, d ∈ \2,3\. We show the limit is the incompressible Navier--Stokes system in Ω.

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