{
  "id": "1305.2375",
  "version": "v1",
  "published": "2013-05-10T15:52:44.000Z",
  "updated": "2013-05-10T15:52:44.000Z",
  "title": "Estimate for a solution to the water wave problem in the presence of a submerged body",
  "authors": [
    "Ilia Kamotski",
    "Vladimir Maz'ya"
  ],
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "We study the two-dimensional problem of propagation of linear water waves in deep water in the presence of a submerged body. Under some geometrical requirements, we derive an explicit bound for the solution depending on the domain and the functions on the right-hand side.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-10T15:52:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "water wave problem",
      "submerged body",
      "linear water waves",
      "two-dimensional problem",
      "deep water"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1134/S1061920813040079",
      "journal": "Russian Journal of Mathematical Physics",
      "year": 2013,
      "month": "Oct",
      "volume": 20,
      "number": 4,
      "pages": 453
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013RJMP...20..453K"
    }
  }
}