{
  "id": "2212.06729",
  "version": "v1",
  "published": "2022-12-13T16:58:18.000Z",
  "updated": "2022-12-13T16:58:18.000Z",
  "title": "$Γ$-convergence for nearly incompressible fluids",
  "authors": [
    "Peter Bella",
    "Eduard Feireisl",
    "Florian Oschmann"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the time-dependent compressible Navier--Stokes equations in the low Mach number regime in a family of domains $\\Omega_\\epsilon \\subset R^d$ converging in the sense of Mosco to a domain $\\Omega \\subset R^d$, $d \\in \\{2,3\\}$. We show the limit is the incompressible Navier--Stokes system in $\\Omega$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-13T16:58:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "incompressible fluids",
      "low mach number regime",
      "convergence",
      "time-dependent compressible navier-stokes equations",
      "incompressible navier-stokes system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}