{"paper":{"title":"Stochastic Parametrization of the Richardson Triple","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP","nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Darryl D. Holm","submitted_at":"2017-08-14T15:44:17Z","abstract_excerpt":"A Richardson triple is an ideal fluid flow map $g_{t/\\ep,t,\\ep t} = h_{t/\\ep}k_t l_{\\ep t}$ composed of three smooth maps with separated time scales: slow, intermediate and fast; corresponding to the big, little, and lesser whorls in Richardson's well-known metaphor for turbulence. Under homogenisation, as $\\lim \\ep\\to0$, the composition $h_{t/\\ep}k_t $ of the fast flow and the intermediate flow is known to be describable as a single stochastic flow $\\dd g$. The interaction of the homogenised stochastic flow $\\dd g$ with the slow flow of the big whorl is obtained by going into its non-inertial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04183","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}