{"paper":{"title":"Regularity of H\\\"older continuous solutions of the supercritical quasi-geostrophic equation","license":"","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jiahong Wu, Peter Constantin","submitted_at":"2007-01-21T20:38:18Z","abstract_excerpt":"We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\\alpha< 1/2$) dissipation $(-\\Delta)^\\alpha$ : If a Leray-Hopf weak solution is H\\\"{o}lder continuous $\\theta\\in C^\\delta({\\mathbb R}^2)$ with $\\delta>1-2\\alpha$ on the time interval $[t_0, t]$, then it is actually a classical solution on $(t_0,t]$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701592","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":""},"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"}