{
  "id": "1601.01959",
  "version": "v1",
  "published": "2016-01-08T18:01:08.000Z",
  "updated": "2016-01-08T18:01:08.000Z",
  "title": "Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds",
  "authors": [
    "Mirela Kohr",
    "Sergey E. Mikhailov",
    "Wolfgang L. Wendland"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The purpose of this paper is to study boundary value problems of transmission type for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in two complementary Lipschitz domains on a compact Riemannian manifold of dimension 2 or 3. We exploit a layer potential method combined with a fixed point theorem in order to show existence and uniqueness results when the given data are suitably small in $L^2$-based Sobolev spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-08T18:01:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact riemannian manifold",
      "darcy-forchheimer-brinkman systems",
      "transmission problems",
      "navier-stokes",
      "study boundary value problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160101959K"
    }
  }
}