{
  "id": "1712.08395",
  "version": "v1",
  "published": "2017-12-22T11:23:31.000Z",
  "updated": "2017-12-22T11:23:31.000Z",
  "title": "Feeble fish in time-dependent waters and homogenization of the G-equation",
  "authors": [
    "Dmitri Burago",
    "Sergei Ivanov",
    "Alexei Novikov"
  ],
  "categories": [
    "math.OC",
    "math.AP",
    "math.MG"
  ],
  "abstract": "We study the following control problem. Fish with bounded aquatic locomotion speed swims in fast waters. Can the fish, under reasonable assumptions, get to a desired destination? It can, even if the flow is time-dependent. Moreover, given a prescribed sufficiently large time $t$, it can be there at exactly the time $t$. The major difference from our previous work is the time-dependence of the flow and an application to homogenization of the G-equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-22T11:23:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34H05",
      "49L20"
    ],
    "keywords": [
      "time-dependent waters",
      "g-equation",
      "feeble fish",
      "homogenization",
      "bounded aquatic locomotion speed swims"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}