{"paper":{"title":"Correct Statement, Analysis and Numerical Solution of Singular Nonlinear Problems for Self-Similar Solutions to the Boundary Layer Equations with Zero Pressure Gradient","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.AP","authors_text":"Mikhail Soloviev, Nadezhda Konyukhova, Sergey Kurochkin","submitted_at":"2018-04-06T11:00:45Z","abstract_excerpt":"For the problems indicated in the title, a further development of a new approach (different from those applied before) is given. A basic problem under consideration arises in viscous incompressible fluid dynamics and describes self-similar solutions to the boundary layer equation for a stream function with zero pressure gradient (connected with the plane-parallel laminar flow in a mixing layer). Some previous results concerning singular nonlinear Cauchy problems, smooth stable initial manifolds, and parametric exponential Lyapunov series are used to state correctly and analyze the singular \"in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06301","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"}