{"paper":{"title":"Analytical approximation of Blasius' similarity solution with rigorous error bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"math.CA","authors_text":"O. Costin, S. Tanveer","submitted_at":"2013-03-06T18:35:50Z","abstract_excerpt":"We use a recently developed method \\cite{Costinetal}, \\cite{Dubrovin} to find accurate analytic approximations with rigorous error bounds for the classic similarity solution of Blasius of the boundary layer equation in fluid mechanics, the two point boundary value problem $f^{\\prime \\prime \\prime} + f f^{\\prime \\prime} =0$ with $f(0)=f^\\prime (0)=0$ and $\\lim_{x \\rightarrow \\infty} f^\\prime (x) =1$. The approximation is given in terms of a polynomial in $[0, \\frac{5}{2}]$ and in terms of the error function in $[\\frac{5}{2}, \\infty)$. The two representations for the solution in different domain"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1416","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"}