{
  "annotation_id": "cfe85944-fdd5-447c-a261-ec84b3d96812",
  "date_created": "2026-03-02T18:00:47.023000Z",
  "date_modified": "2026-03-02T18:00:47.023000Z",
  "file_hash": "b6d8f217ec82b0c3951b6dd845fb761936633a08f033d5bd71765bc4e10b27ec",
  "private": false,
  "record": {
    "abstract": "We consider inverse problems related to the velocity reconstruction in\nelectrically conducting fluids from externally measured magnetic fields. The\nunderlying theory is presented in the framework of the integral equation\napproach to homogeneous dynamos in finite domains, which can be cast into a\nlinear inverse problem in case that the magnetic Reynolds number is not too\nlarge. Some mathematical problems of the inversion, including the uniqueness\nproblem in the sphere and a paradigmatic isospectrality problem for mean-field\ndynamos, are touched upon. For practical purposes, the inversion is carried out\nwith the help of Tikhonov regularization using a quadratic functional of the\nvelocity field as penalty function. For the first time, we present results of\nan experiment in which the three-dimensional velocity field of a propellor\ndriven flow in a liquid metal is reconstructed by a contactless inductive\nmeasuring technique.",
    "arxiv_id": "physics/0312093",
    "authors": [
      "Frank Stefani",
      "Thomas Gundrum",
      "Gunter Gerbeth",
      "Uwe Guenther",
      "Mingtian Xu"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.plasm-ph"
    ],
    "doi": "10.1080/17415970600573791",
    "journal_ref": "Inverse Problems in Science and Engineering 14 (2006), 411-422",
    "title": "Inverse Problems in Magnetohydrodynamics: Theoretical and Experimental   Aspects",
    "url": "https://arxiv.org/abs/physics/0312093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "daedd7e1-8b25-43ea-8f7b-2066e96094c8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}