{"paper":{"title":"Global classical solution to 3D isentropic compressible Navier-Stokes equations with large initial data and vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Changjiang Zhu, Hongyun Peng, Xiaofeng Hou","submitted_at":"2015-03-10T14:02:12Z","abstract_excerpt":"In this paper, we investigate the existence of a global classical solution to 3D Cauchy problem of the isentropic compressible Navier-Stokes equations with large initial data and vacuum. Precisely, when the far-field density is vacuum ($\\widetilde{\\rho}=0$), we get the global classical solution under the assumption that $(\\gamma-1)^\\frac{1}{3}E_0\\mu^{-1}$ is suitably small. In the case that the far-field density is away from vacuum ($\\widetilde{\\rho}>0$), the global classical solution is also obtained when $\\left((\\gamma-1)^\\frac{1}{36}+\\widetilde{\\rho}^\\frac{1}{6}\\right)E_0^{\\frac{1}{4}}\\mu^{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02910","kind":"arxiv","version":3},"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"}