{"paper":{"title":"Two Dimensional Subsonic Euler Flow. Past a Wall or a Symmetric Body","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Chao Chen, Chunjing Xie, Lili Du, Zhouping Xin","submitted_at":"2014-10-08T06:26:23Z","abstract_excerpt":"The existence and uniqueness of two dimensional steady compressible Euler flows past a wall or a symmetric body are established. More precisely, given positive convex horizontal veloicty in the upstream, there exists a critical value $\\rho_{cr}$ such that if the incoming density in the upstream is larger than $\\rho_{cr}$, then there exists a subsonic flow past a wall. Furthermore, $\\rho_{cr}$ is critical in the sense that there is no such subsonic flow if the density of the incoming flow is less than $\\rho_{cr}$. The subsonic flows possess large vorticity and positive horizontal velocity above"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1991","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"}