{"paper":{"title":"Universal thin-shell limits for the viscous operator on Riemannian hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Samuel L. Braunstein, Zhi-Wei Wang","submitted_at":"2026-05-20T00:55:30Z","abstract_excerpt":"We decompose the ambient Bochner Laplacian acting on tangential vector fields on a thin shell around an arbitrary smooth hypersurface $M^n \\hookrightarrow \\R^{n+1}$ into an intrinsic piece and a radial boundary-shear piece. The intrinsic piece is the deformation Laplacian $\\Delta_B^{(n)} + \\Ric^{(n)}$ on every hypersurface, regardless of extrinsic geometry. The boundary-shear piece is determined entirely by the normal profile of the velocity field. We prove that stress-free (Navier slip) boundary conditions yield the deformation Laplacian universally, and that Hodge (zero tangential vorticity)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20589","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.20589/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}