{
  "id": "math/0609712",
  "version": "v1",
  "published": "2006-09-25T21:39:36.000Z",
  "updated": "2006-09-25T21:39:36.000Z",
  "title": "On homogenization of a diffusion perturbed by a periodic reflection invariant vector field",
  "authors": [
    "Joseph G. Conlon"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper the author studies the problem of the homogenization of a diffusion perturbed by a periodic reflection invariant vector field. The vector field is assumed to have fixed direction but varying amplitude. The existence of a homogenized limit is proven and formulas for the effective diffusion constant are given. In dimension $d=1$ the effective diffusion constant is always less than the constant for the pure diffusion. In $d>1$ this property no longer holds in general.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-25T21:39:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R60",
      "60H30",
      "60J60"
    ],
    "keywords": [
      "periodic reflection invariant vector field",
      "homogenization",
      "effective diffusion constant",
      "author studies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9712C"
    }
  }
}