{"paper":{"title":"Global large solution to the compressible Navier-Stokes equations in critical Besov space $\\dot{B}^{-1}_{\\infty,\\infty}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jinlu Li, Weipeng Zhu, Yanghai Yu, Zhaoyang Yin","submitted_at":"2019-03-23T05:14:59Z","abstract_excerpt":"In this paper, we construct a class of global large solution to the compressible Navier-Stokes equations in the whole space $\\R^d$. Precisely speaking, our choice of special initial data whose $\\dot{B}^{-1}_{\\infty,\\infty}$ norm can be arbitrarily large, namely, $||u_0||_{\\dot{B}^{-1}_{\\infty,\\infty}}\\gg 1$, allows to give rise to global-in-time solution to the compressible Navier-Stokes equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09764","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"}