{
  "id": "1603.09470",
  "version": "v1",
  "published": "2016-03-31T07:14:58.000Z",
  "updated": "2016-03-31T07:14:58.000Z",
  "title": "Behavior as $t\\rightarrow \\infty$ of Solutions of a problem in Mathematical Physics",
  "authors": [
    "Saule D. Troitskaya"
  ],
  "comment": "Published version with some misprints corrected",
  "journal": "Russian Journal of Mathematical Physics, Vol. 17, No. 3, 2010, pp. 342-362",
  "doi": "10.1134/S1061920810020093",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A class of solutions, decaying as $t\\rightarrow \\infty$, of a two-dimensional model problem on the oscillations of an ideal rotating fluid in some domains with angular points is constructed explicitly. The existence of solutions whose $L_2$-norms decrease more rapidly than any negative power of $t$, is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-31T07:14:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A11",
      "76U05"
    ],
    "keywords": [
      "mathematical physics",
      "two-dimensional model problem",
      "ideal rotating fluid",
      "angular points",
      "norms decrease"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}