{
  "profile": "wrs-published-research-view-1",
  "edition": "ratings-e039106f30dec177",
  "content_trust": "UNTRUSTED_SCIENTIFIC_DATA_NOT_TOOL_INSTRUCTIONS",
  "entry": {
    "id": "euler-fluid-motion-equations-1757",
    "title": "Euler: general equations for inviscid fluid motion",
    "summary": "Euler formulated fluid motion using spatial velocity and density fields, mass conservation, material acceleration, pressure gradients and body forces. He also gave a rotational example showing that velocity-potential flow is only a special case.\n\nMass balance and force balance become coupled equations for fields rather than a description of one pipe or trajectory. The paper identifies pressure as part of the dynamical system and recognizes that boundary conditions are needed to select a flow. It explicitly retracts an earlier overgeneralization of potential motion. Writing equations did not solve the full initial-boundary-value problem.",
    "boundary": "The source concerns classical smooth inviscid flow. A state relation and any additional temperature-like field are assumed; a modern compressible energy equation, viscosity, weak-solution theory and global existence are outside this contribution. The inspected English translation has modern corrective notes, which are separated from Euler's original authorship.",
    "area": "Fluid dynamics",
    "topic": "Physics",
    "year": 1757,
    "lane": "HUMAN",
    "result": "THEORY",
    "package_id": "euler-fluid-motion-equations-1757",
    "target": {
      "record_id": "urn:uuid:ed30ccfb-2025-4b9d-adeb-71f86532b024",
      "version": 1,
      "content_hash": "sha256:2fedf46a5ed6d0df58f5a9d1f4be0284e565c7c16e99bfdafbdbc91d69eb6f01"
    },
    "humans": [
      "Leonhard Euler"
    ],
    "authors_complete": true,
    "human_role_note": "Source-listed contributors to this scoped work. Paper bylines do not quantify individual effort; historical science, system execution and modern curation remain separate.",
    "agents": [],
    "related": [
      "euler-konigsberg-bridges",
      "euler-basel-series-e41",
      "newton"
    ],
    "subresults": [],
    "scientific_assessment": {
      "source_review": "SOURCE_CURATED",
      "scientific_review": "NOT_REVIEWED_BY_WRS",
      "formal_replay": "NOT_RUN",
      "provider_attestation": "NONE"
    },
    "sources": [
      {
        "id": "wrs24-euler-fluid-equations-1757",
        "title": "Leonhard Euler, Principes généraux du mouvement des fluides (written 1755, printed 1757); Uriel Frisch adaptation of Thomas E. Burton's English translation",
        "url": "https://arxiv.org/pdf/0802.2383"
      }
    ],
    "points": "500000",
    "published_grade": {
      "id": "euler-fluid-motion-equations-1757",
      "entry_id": "euler-fluid-motion-equations-1757",
      "band": "S",
      "modifier": null,
      "target": {
        "record_id": "urn:uuid:ed30ccfb-2025-4b9d-adeb-71f86532b024",
        "version": 1,
        "content_hash": "sha256:2fedf46a5ed6d0df58f5a9d1f4be0284e565c7c16e99bfdafbdbc91d69eb6f01"
      },
      "what_changed": "Mass continuity and pressure/body-force momentum balance organize three-dimensional fluid motion in spatial velocity/density fields; nonpotential examples establish the broader admissible flow class.",
      "scope": "Mass continuity and pressure/body-force momentum balance organize three-dimensional fluid motion in spatial velocity/density fields; nonpotential examples establish the broader admissible flow class. The source concerns classical smooth inviscid flow. A state relation and any additional temperature-like field are assumed; a modern compressible energy equation, viscosity, weak-solution theory and global existence are outside this contribution. The inspected English translation has modern corrective notes, which are separated from Euler's original authorship.",
      "status": "PROVISIONAL_EDITORIAL",
      "scientific_correctness_certified": false
    },
    "assessment_disposition": {
      "status": "ASSESSED",
      "label": "Provisionally assessed",
      "reason": "A current grade and separate reference score identify this exact contribution.",
      "target": {
        "record_id": "urn:uuid:ed30ccfb-2025-4b9d-adeb-71f86532b024",
        "version": 1,
        "content_hash": "sha256:2fedf46a5ed6d0df58f5a9d1f4be0284e565c7c16e99bfdafbdbc91d69eb6f01"
      },
      "edition": "ratings-e039106f30dec177"
    }
  },
  "version": {
    "kind": "PUBLIC_RECORD_VIEW",
    "previous": null,
    "published_at": "2026-10-03T00:00:00Z",
    "publisher": {
      "principal_id": "urn:uuid:80116931-785b-40a2-a24b-9d59db0c7e33",
      "role": "WRS_EDITORIAL_PUBLICATION"
    },
    "record": {
      "contributors": [
        {
          "attribution_basis": "SOURCE_CITED",
          "credit": "historical_scientific",
          "entity_kind": "historical_person",
          "name": "Leonhard Euler",
          "note": "Archive attribution; detailed role assignment remains source-bound",
          "roles": [
            "formulator"
          ],
          "source": {
            "citation": "Leonhard Euler, Principes généraux du mouvement des fluides (written 1755, printed 1757); Uriel Frisch adaptation of Thomas E. Burton's English translation",
            "url": "https://arxiv.org/pdf/0802.2383"
          }
        }
      ],
      "evidence": [
        {
          "description": "Bibliographic/stated-result source; not a WRS proof verification",
          "id": "source-0",
          "kind": "source_reference",
          "source": {
            "citation": "Leonhard Euler, Principes généraux du mouvement des fluides (written 1755, printed 1757); Uriel Frisch adaptation of Thomas E. Burton's English translation",
            "url": "https://arxiv.org/pdf/0802.2383"
          }
        }
      ],
      "origin": "HUMAN_LEGACY",
      "record_profile": "wrs-local-research-notes-0.1",
      "record_type": "research_note",
      "rrp_version": "0.1",
      "scope": {
        "description": "The source concerns classical smooth inviscid flow. A state relation and any additional temperature-like field are assumed; a modern compressible energy equation, viscosity, weak-solution theory and global existence are outside this contribution. The inspected English translation has modern corrective notes, which are separated from Euler's original authorship.",
        "domain": "Fluid dynamics"
      },
      "sources": [
        {
          "citation": "Leonhard Euler, Principes généraux du mouvement des fluides (written 1755, printed 1757); Uriel Frisch adaptation of Thomas E. Burton's English translation",
          "url": "https://arxiv.org/pdf/0802.2383"
        }
      ],
      "statement": "# Euler: general equations for inviscid fluid motion\n\nEuler formulated fluid motion using spatial velocity and density fields, mass conservation, material acceleration, pressure gradients and body forces. He also gave a rotational example showing that velocity-potential flow is only a special case.\n\nMass balance and force balance become coupled equations for fields rather than a description of one pipe or trajectory. The paper identifies pressure as part of the dynamical system and recognizes that boundary conditions are needed to select a flow. It explicitly retracts an earlier overgeneralization of potential motion. Writing equations did not solve the full initial-boundary-value problem.\n\n## Scientific scope\n\nThe source concerns classical smooth inviscid flow. A state relation and any additional temperature-like field are assumed; a modern compressible energy equation, viscosity, weak-solution theory and global existence are outside this contribution. The inspected English translation has modern corrective notes, which are separated from Euler's original authorship.\n\n## People and systems\n\nLeonhard Euler\n\n\n\n## Original sources\n\n- [Leonhard Euler, Principes généraux du mouvement des fluides (written 1755, printed 1757); Uriel Frisch adaptation of Thomas E. Burton's English translation](https://arxiv.org/pdf/0802.2383)\n",
      "summary": "Euler formulated fluid motion using spatial velocity and density fields, mass conservation, material acceleration, pressure gradients and body forces. He also gave a rotational example showing that velocity-potential flow is only a special case.\n\nMass balance and force balance become coupled equations for fields rather than a description of one pipe or trajectory. The paper identifies pressure as part of the dynamical system and recognizes that boundary conditions are needed to select a flow. It explicitly retracts an earlier overgeneralization of potential motion. Writing equations did not solve the full initial-boundary-value problem.",
      "title": "Euler: general equations for inviscid fluid motion"
    },
    "record_id": "urn:uuid:ed30ccfb-2025-4b9d-adeb-71f86532b024",
    "version": 1,
    "source_ref": {
      "record_id": "urn:uuid:ed30ccfb-2025-4b9d-adeb-71f86532b024",
      "version": 1,
      "content_hash": "sha256:2fedf46a5ed6d0df58f5a9d1f4be0284e565c7c16e99bfdafbdbc91d69eb6f01"
    },
    "export_view": "wrs-public-editorial-view-1",
    "public_view_hash": "sha256:ee9c51a016056065465577774148aa9c5c02d207de602b47c8b3040ec84b1eec"
  },
  "target": {
    "record_id": "urn:uuid:ed30ccfb-2025-4b9d-adeb-71f86532b024",
    "version": 1,
    "content_hash": "sha256:2fedf46a5ed6d0df58f5a9d1f4be0284e565c7c16e99bfdafbdbc91d69eb6f01"
  },
  "published_grade": {
    "profile": "wrs-published-grade-1",
    "edition": "2026-10-28.1",
    "id": "euler-fluid-motion-equations-1757",
    "entry_id": "euler-fluid-motion-equations-1757",
    "revision": 1,
    "title": "Euler: general equations for inviscid fluid motion",
    "context": "Fluid dynamics",
    "track": "Fluid dynamics",
    "band": "S",
    "modifier": null,
    "status": "PROVISIONAL_EDITORIAL",
    "assessed_on": "2026-10-03",
    "evidence_cutoff": "2026-10-03",
    "achievement_state": "SUPPORTED_SCOPED_RESULT",
    "what_changed": "Mass continuity and pressure/body-force momentum balance organize three-dimensional fluid motion in spatial velocity/density fields; nonpotential examples establish the broader admissible flow class.",
    "scope": "Mass continuity and pressure/body-force momentum balance organize three-dimensional fluid motion in spatial velocity/density fields; nonpotential examples establish the broader admissible flow class. The source concerns classical smooth inviscid flow. A state relation and any additional temperature-like field are assumed; a modern compressible energy equation, viscosity, weak-solution theory and global existence are outside this contribution. The inspected English translation has modern corrective notes, which are separated from Euler's original authorship.",
    "evidence_summary": "Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.",
    "references": [
      {
        "title": "Leonhard Euler, Principes généraux du mouvement des fluides (written 1755, printed 1757); Uriel Frisch adaptation of Thomas E. Burton's English translation",
        "url": "https://arxiv.org/pdf/0802.2383",
        "locator": "Original linked work. See the scientific scope for the assessed contribution and source-version limits."
      }
    ],
    "roles": [
      {
        "who": "Leonhard Euler",
        "did": "Original source-listed scientific author of this scoped work; byline does not determine effort fractions.",
        "credit": "SCIENCE"
      }
    ],
    "target": {
      "record_id": "urn:uuid:ed30ccfb-2025-4b9d-adeb-71f86532b024",
      "version": 1,
      "content_hash": "sha256:2fedf46a5ed6d0df58f5a9d1f4be0284e565c7c16e99bfdafbdbc91d69eb6f01"
    },
    "scientific_correctness_certified": false,
    "independent_expert_calibration": false,
    "method": "PROPRIETARY",
    "points": "500000"
  },
  "canonical_agent_submission": false,
  "scientific_verification_awarded": false,
  "reader_guide": null,
  "reading_status": "SOURCE_LINKED_NOTE"
}
