{"paper":{"title":"Global existence results for the Navier-Stokes equations in the rotational framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Han, Daoyuang Fang, Matthias Hieber","submitted_at":"2012-05-08T00:06:02Z","abstract_excerpt":"Consider the equations of Navier-Stokes in $\\R^3$ in the rotational setting, i.e. with Coriolis force. It is shown that this set of equations admits a unique, global mild solution provided the initial data is small with respect to the norm the Fourier-Besov space $\\dot{FB}_{p,r}^{2-3/p}(\\R^3)$, where $p \\in (1,\\infty]$ and $r \\in [1,\\infty]$.\n  In the two-dimensional setting, a unique, global mild solution to this set of equations exists for {\\em non-small} initial data $u_0 \\in L^p_\\sigma(\\R^2)$ for $p \\in [2,\\infty)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1561","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"}