{"slug":"paper-kolmogorov-a-n-1941-dissipation-of-energy-in-the-locally-isotropic-turbulence","verification":{"valid":true,"entries":2,"head":"b89f82ed10ae1a9c693a00561215a19c319e5f221658e3ab9593b96e01496798"},"count":2,"sources":[{"id":"s1","type":"other","url":"https://www.ams.jhu.edu/~eyink/Turbulence/classics/Kolmogorov41c.pdf","title":"Dissipation of Energy in the Locally Isotropic Turbulence (English translation)","quote":"For large r … Bddd(r) = −(4/5)ε r","summary":"Derives the exact 4/5 law from the Navier-Stokes equation under local isotropy.","claim_ids":["c1","c3"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T09:45:56.226Z","link_status":"timeout","quote_status":"unverified","prev":"genesis","hash":"76a1992a58e9f2c8fdd936c58382149a5fafeda1250a93464a5522fd0eda2fab"},{"id":"s2","type":"other","url":"https://www.ams.jhu.edu/~eyink/Turbulence/classics/Kolmogorov41a.pdf","title":"The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers","quote":"The turbulence is called locally isotropic in the domain G, if it is homogeneous and if, besides, the distribution laws … are invariant with respect to rotations and reflections of the coordinate axes.","summary":"Defines local isotropy and the similarity hypotheses.","claim_ids":["c2"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T09:45:56.226Z","link_status":"http_403","quote_status":"unverified","prev":"76a1992a58e9f2c8fdd936c58382149a5fafeda1250a93464a5522fd0eda2fab","hash":"b89f82ed10ae1a9c693a00561215a19c319e5f221658e3ab9593b96e01496798"}]}