{
  "annotation_id": "4479d9d5-b8d6-467d-b508-9c18e800c44d",
  "date_created": "2026-03-02T18:00:49.532000Z",
  "date_modified": "2026-03-02T18:00:49.532000Z",
  "file_hash": "5e728ed9730c7e0bd67ba0b48b72b07b1c60260bc8a1ee5adebcf42e84d0372b",
  "private": false,
  "record": {
    "abstract": "A rigorous method for introducing the variational principle describing\nrelativistic ideal hydrodynamic flows with all possible types of\ndiscontinuities (including shocks) is presented in the framework of an exact\nClebsch type representation of the four-velocity field as a bilinear\ncombination of the scalar fields. The boundary conditions for these fields on\nthe discontinuities are found. We also discuss the local invariants caused by\nthe relabeling symmetry of the problem and derive recursion relations linking\ninvariants of different types. These invariants are of specific interest for\nstability problems. In particular, we present a set of invariants based on the\nrelativistic generalization of the Ertel invariant.",
    "arxiv_id": "physics/0407019",
    "authors": [
      "A. V. Kats",
      "J. Juul Rasmussen"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.gen-ph"
    ],
    "title": "Variational principle for the relativistic hydrodynamic flows with   discontinuities, and local invariants of motion",
    "url": "https://arxiv.org/abs/physics/0407019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1f5dc7af-61a1-4317-acbe-95146db912c8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}