{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KGD6VZEGGWUB56NI4PDFSLQYSK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d1af54b9299df7f34b69979efa39736c72532ad833bbc35429970c435122ff00","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-30T20:12:55Z","title_canon_sha256":"0b50ca85e3681b865672af205f00726cae9bb98337313ce58485dc1b925d438e"},"schema_version":"1.0","source":{"id":"1701.08808","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08808","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08808v2","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08808","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"KGD6VZEGGWUB","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KGD6VZEGGWUB56NI","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KGD6VZEG","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:7727a83e3bf6998f075e4117de49cb0f893c0d8f30630d9ce47f99cd0d5e48c9","target":"graph","created_at":"2026-05-18T00:41:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the high Reynolds number limit of a viscous fluid in the presence of a rough boundary. We consider the two-dimensional incompressible Navier-Stokes equations with Navier slip boundary condition, in a domain whose boundaries exhibit fast oscillations in the form $x_2 = \\varepsilon^{1+\\alpha} \\eta(x_1/\\varepsilon)$, $\\alpha > 0$. Under suitable conditions on the oscillating parameter $\\varepsilon$ and the viscosity $\\nu$, we show that solutions of the Navier-Stokes system converge to solutions of the Euler system in the vanishing limit of both $\\nu$ and $\\varepsilon$. The main issue is ","authors_text":"Christophe Lacave, David G\\'erard-Varet, Fr\\'ed\\'eric Rousset, Toan T. Nguyen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-30T20:12:55Z","title":"The vanishing viscosity limit for 2D Navier-Stokes in a rough domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08808","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6417deb58a156079ff93ca4fa9c4d74718c8322c2c2a24f6beca4688eb660cd1","target":"record","created_at":"2026-05-18T00:41:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d1af54b9299df7f34b69979efa39736c72532ad833bbc35429970c435122ff00","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-30T20:12:55Z","title_canon_sha256":"0b50ca85e3681b865672af205f00726cae9bb98337313ce58485dc1b925d438e"},"schema_version":"1.0","source":{"id":"1701.08808","kind":"arxiv","version":2}},"canonical_sha256":"5187eae48635a81ef9a8e3c6592e1892818a671f14f58f0c5f7570ea5d980807","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5187eae48635a81ef9a8e3c6592e1892818a671f14f58f0c5f7570ea5d980807","first_computed_at":"2026-05-18T00:41:53.213594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:53.213594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9UxtYTQBiSWbgt4gpBoDKsSoZPBt27Q4GczDXxj7/e2ROabLg3IYtYg6HOQdDJrL3+zHYqvP3DHFXzUhiDicCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:53.214292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08808","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6417deb58a156079ff93ca4fa9c4d74718c8322c2c2a24f6beca4688eb660cd1","sha256:7727a83e3bf6998f075e4117de49cb0f893c0d8f30630d9ce47f99cd0d5e48c9"],"state_sha256":"154bf38712cac98c5c0df49ccc15e39763ab44499083c2694f68826e2821f7d1"}