{
  "annotation_id": "36ca0924-fae1-4a3f-83bb-4f5102fc631a",
  "date_created": "2026-03-02T18:00:56.753000Z",
  "date_modified": "2026-03-02T18:00:56.753000Z",
  "file_hash": "a7bd068b2deec36ae7c0007eeded8e1bb0ed2fc0363cd4873408c6c83e534a5a",
  "private": false,
  "record": {
    "abstract": "The evolution of the interface between two ideal dielectric liquids in a\nstrong vertical electric field is studied. It is found that a particular flow\nregime, for which the velocity potential and the electric field potential are\nlinearly dependent functions, is possible if the ratio of the permittivities of\nliquids is inversely proportional to the ratio of their densities. The\ncorresponding reduced equations for interface motion are derived. In the limit\nof small density ratio, these equations coincide with the well-known equations\ndescribing the Laplacian growth.",
    "arxiv_id": "physics/0503219",
    "authors": [
      "Nikolay M. Zubarev"
    ],
    "categories": [
      "physics.flu-dyn",
      "cond-mat.soft",
      "nlin.SI"
    ],
    "doi": "10.1063/1.2173282",
    "journal_ref": "PHYSICS OF FLUIDS 18 (2): Art. No. 028103 FEB 2006 (reduced\n  version of the paper)",
    "title": "Nonlinear dynamics of the interface of dielectric liquids in a strong   electric field: Reduced equations of motion",
    "url": "https://arxiv.org/abs/physics/0503219"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a5316e4-de10-41f1-9048-1de1160477f5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}