{
  "id": "2004.14568",
  "version": "v1",
  "published": "2020-04-30T03:42:39.000Z",
  "updated": "2020-04-30T03:42:39.000Z",
  "title": "Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization",
  "authors": [
    "Shu Gu",
    "Jinping Zhuge"
  ],
  "comment": "64 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we systematically study the regularity theory of the linear system of nearly incompressible elasticity. In the setting of stochastic homogenization, we develop new techniques to establish the large-scale estimates of displacement and pressure, which are uniform in both the scale parameter and the incompressibility parameter. In particular, we obtain the boundary estimates in a new class of Lipschitz domains whose boundaries are smooth at large scales and bumpy at small scales.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-30T03:42:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74A40",
      "74Q05",
      "35B27"
    ],
    "keywords": [
      "stochastic homogenization",
      "incompressible elasticity",
      "large-scale regularity",
      "lipschitz domains",
      "boundary estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 64,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}