{
  "id": "1407.2786",
  "version": "v1",
  "published": "2014-07-10T13:47:03.000Z",
  "updated": "2014-07-10T13:47:03.000Z",
  "title": "Time-periodic solutions of advection-diffusion equations on moving hypersurfaces",
  "authors": [
    "Charles M. Elliott",
    "Hans Fritz"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study time-periodic solutions to advection-diffusion equations of a scalar quantity $u$ on a periodically moving $n$-dimensional hypersurface $\\Gamma(t) \\subset \\mathbb{R}^{n+1}$. We prove existence and uniqueness of solutions in suitable H\\\"older spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-10T13:47:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "advection-diffusion equations",
      "moving hypersurfaces",
      "study time-periodic solutions",
      "dimensional hypersurface",
      "scalar quantity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.2786E"
    }
  }
}