{"paper":{"title":"Contact discontinuities for 3-D axisymmetric inviscid compressible flows in infinitely long cylinders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Hyangdong Park, Myoungjean Bae","submitted_at":"2019-01-15T08:12:21Z","abstract_excerpt":"We prove the existence of a subsonic axisymmetric weak solution $({\\bf u},\\rho,p)$ with ${\\bf u}=u_x{\\bf e}_x+u_r{\\bf e}_r+u_\\theta{\\bf e}_{\\theta}$ to steady Euler system in a three-dimensional infinitely long cylinder $\\mathcal{N}$ when prescribing the values of the entropy $(=\\frac{p}{\\rho^{\\gamma}})$ and angular momentum density $(=ru_{\\theta})$ at the entrance by piecewise $C^2$ functions with a discontinuity on a curve on the entrance of $\\mathcal{N}$. Due to the variable entropy and angular momentum density (=swirl) conditions with a discontinuity at the entrance, the corresponding solu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04996","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"}