{
  "id": "1608.05652",
  "version": "v1",
  "published": "2016-08-19T16:13:08.000Z",
  "updated": "2016-08-19T16:13:08.000Z",
  "title": "On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container",
  "authors": [
    "Nikolay Kuznetsov"
  ],
  "comment": "15 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study direct and inverse eigenvalue problems for a pair of harmonic functions with a spectral parameter in boundary and coupling conditions. The direct problem is relevant to sloshing frequencies of free oscillations of a two-layer fluid in a container. The upper fluid occupies a layer bounded above by a free surface and below by a layer of fluid of greater density. Both fluids are assumed to be inviscid, incompressible, and heavy, whereas the free surface and the interface between fluids are supposed to be bounded.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-19T16:13:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inverse spectral problems",
      "two-layer fluid",
      "open container",
      "free surface",
      "inverse eigenvalue problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}