{"paper":{"title":"An extension of an unicity class for Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ramzi May","submitted_at":"2018-04-09T07:38:25Z","abstract_excerpt":"This is a translation from French of my paper [R. May, Extension d'une classe d'unicite pour les equations de Navier-Stokes, Ann. I. H. Poincar\\'{e}-AN 27 (2010) 705-718. doi:10.1016/j.anihp.2009.11.007].\n  Q. Chen, C. Miao, and Z. Zhang \\cite{CMZ} have proved that weak Leray solutions of the Navier-Stokes are unique in the class $L^{\\frac{2}{1+r}% }([0,T].B_{\\infty}^{r,\\infty}(\\mathbb{R}^{3})$ with $r\\in]-\\frac{1}{2},1].$ In this paper, we establish that this criterion remains true for $r\\in ]-1,-\\frac{1}{2}].$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02853","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"}