{
  "id": "1203.0603",
  "version": "v1",
  "published": "2012-03-03T03:50:31.000Z",
  "updated": "2012-03-03T03:50:31.000Z",
  "title": "Smoluchowski-Kramers approximation in the case of variable friction",
  "authors": [
    "Mark Freidlin",
    "Wenqing Hu"
  ],
  "comment": "already published",
  "journal": "Journal of Mathematical Sciences, 79, No.1, November 2011, translated from Problems in Mathematical Analysis, 61, October 2011 (in Russian)",
  "doi": "10.1007/s10958-011-0589-y",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classical sense does not exist in this case. We study a modification of the Smoluchowski-Kramers approximation. Some applications of the Smoluchowski-Kramers approximation to problems with fast oscillating or discontinuous coefficients are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-03T03:50:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smoluchowski-kramers approximation",
      "small mass asymptotics",
      "langevin equation",
      "variable friction coefficient",
      "classical sense"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.0603F"
    }
  }
}