{
  "id": "2209.04964",
  "version": "v1",
  "published": "2022-09-12T00:10:50.000Z",
  "updated": "2022-09-12T00:10:50.000Z",
  "title": "Existence of vortex sheet solutions to the SQG Equation",
  "authors": [
    "Edison Cuba",
    "Lucas C. F. Ferreira"
  ],
  "comment": "28 pages. arXiv admin note: text overlap with arXiv:2108.06909 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper addresses the existence of vortex sheets for the SQG equation. More precisely, we construct a family of stationary vortex sheet solutions that are concentrated on curves that are small perturbations of circles centered on a given non-degenerate critical point. To the best of our knowledge, this is a novel result on the existence of vortex sheets to the SQG equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-12T00:10:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "76B03",
      "76B47"
    ],
    "keywords": [
      "sqg equation",
      "stationary vortex sheet solutions",
      "paper addresses",
      "small perturbations",
      "non-degenerate critical point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}