{"paper":{"title":"Matching Conditions and High-Re Anomalies in Hydrodynamic Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Victor Yakhot","submitted_at":"2018-12-07T02:46:51Z","abstract_excerpt":"{\\bf Direct} transition from low Reynolds number \"weak\" Gaussian turbulence to fully developed \"strong\" turbulence at a critical Reynolds number $R^{tr}_{\\lambda}\\approx 8.91$ has recently been theoretically predicted and tested in high resolution numerical simulations of V. Yakhot \\& D. A. Donzis, Phys. Rev. Lett. {\\bf 119}, 044501 (2017) \\& PhysicaD, {\\bf 384-385}, 12 (2018) on an example of a flow excited by a Gaussian random force. The matching between the low-Reynolds number Gaussian asymptotic ($Re<<Re^{tr}$) and the multi-scaling one, dominating the high-Re limit ($Re>>Re^{tr}$), led to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02883","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"}