{"paper":{"title":"Delayed Dissipation for Two-Dimensional Vortex Sheets","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Victor Armegioiu","submitted_at":"2026-07-31T19:29:04Z","abstract_excerpt":"We quantify viscous energy loss for two-dimensional Delort vortex sheets. Let $u^\\nu$ be Leray-Hopf solutions on $\\mathbb{T}^2$ with uniformly bounded kinetic energy and total vorticity variation, and write $\\omega_0^\\nu=\\mu_0^\\nu+f_0^\\nu$, where $\\mu_0^\\nu\\geq0$ and $f_0^\\nu$ is bounded in $L^p$, $p>1$. For every fixed $0<\\delta<T$, $\\nu\\int_\\delta^T\\|\\omega^\\nu(t)\\|_2^2\\,\\mathrm{d}t\\lesssim_{\\delta,T}\\frac{1}{|\\log\\nu|}$. This improves the $O(|\\log\\nu|^{-1/2})$ bound of De Rosa and Marcotullio under the same assumptions and thereby disproves their Conjecture 1.6 (arXiv:2602.15670, v1). The p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00234","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.00234/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}