{"paper":{"title":"The stability of strong viscous contact discontinutiy to an inflow problem for full compressible Navier-Stokes equations","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tingting Zheng","submitted_at":"2014-09-18T15:08:27Z","abstract_excerpt":"This paper is concerned with nonlinear stability of viscous contact discontinuity to inflow problem for the one-dimensional full compressible Navier-Stokes equations with different ends in half space $[0,\\infty)$. For the case when the local stability of the contact discontinuities was first studied by \\cite{X},later generalized by \\cite{LX}, local stability of weak viscous contact discontinuity is well-established by \\cite{HMS,HMX,HXY,HZ,HLM2009}, but for the global stability of inflow gas with big oscillation ends $(|\\theta_+-\\theta_-|>1\\ and \\ |\\rho_+-\\rho_-|>1)$, fewer results have been ob"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5329","kind":"arxiv","version":2},"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"}