{
  "annotation_id": "43225bdb-fe01-4526-ba96-48553eef69f8",
  "date_created": "2026-03-02T18:01:14.804000Z",
  "date_modified": "2026-03-02T18:01:14.804000Z",
  "file_hash": "284644c673a9efb0fbabb2e6f44fdd73b04e6f9e8f21bf305641f9a91c2d57af",
  "private": false,
  "record": {
    "abstract": "Fundamental aspects of inverse kinetic theories for incompressible\nNavier-Stokes equations concern the possibility of defining uniquely the\nkinetic equation underlying such models and furthermore, the construction of a\nkinetic theory implying also the energy equation. The latter condition is\nconsistent with the requirement that fluid fields result classical solutions of\nthe fluid equations. These issues appear of potential relevance both from the\nmathematical viewpoint and for the physical interpretation of the theory. In\nthis paper we intend to prove that the non-uniqueness feature can be resolved\nby imposing suitable assumptions. These include, in particular, the requirement\nthat the kinetic equation be equivalent, in a suitable sense, to a\nFokker-Planck kinetic equation. Its Fokker-Planck coefficients are proven to be\nuniquely determined by means of appropriate prescriptions. In addition, as a\nfurther result, it is proven that the inverse kinetic equation satisfies both\nan entropy principle and the energy equation for the fluid fields.",
    "arxiv_id": "physics/0611113",
    "authors": [
      "Massimo Tessarotto",
      "Marco Ellero"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.comp-ph"
    ],
    "title": "On the uniqueness of continuous inverse kinetic theory for   incompressible fluids",
    "url": "https://arxiv.org/abs/physics/0611113"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "67060e11-0954-4093-86eb-494b6e35c915",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}