{
  "annotation_id": "928a9a38-4cb1-4234-b617-becb91950b3c",
  "date_created": "2026-03-02T18:01:07.008000Z",
  "date_modified": "2026-03-02T18:01:07.008000Z",
  "file_hash": "9cf1b629fbab84e09ae0f820cdc6235a4e4681912ad43f91b3f0b7bfbb9de9aa",
  "private": false,
  "record": {
    "abstract": "We use the fractional integrals in order to describe dynamical processes in\nthe fractal media. We consider the \"fractional\" continuous medium model for the\nfractal media and derive the fractional generalization of the equations of\nbalance of mass density, momentum density, and internal energy. The fractional\ngeneralization of Navier-Stokes and Euler equations are considered. We derive\nthe equilibrium equation for fractal media. The sound waves in the continuous\nmedium model for fractional media are considered.",
    "arxiv_id": "physics/0602096",
    "authors": [
      "Vasily E. Tarasov"
    ],
    "categories": [
      "physics.flu-dyn",
      "astro-ph",
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "doi": "10.1016/j.aop.2005.01.004",
    "journal_ref": "Annals of Physics 318 (2005) 286-307",
    "title": "Fractional Hydrodynamic Equations for Fractal Media",
    "url": "https://arxiv.org/abs/physics/0602096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8c035596-7d64-40bb-9dde-bbb7454e85dc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}