{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GNVJOONGWQGRZFXYFJCJI5S4TD","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":"b63eac6bcc5f48352bd676d634916ce467596471a7f2d0d0a39ff6983c8fc0b0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-23T08:59:39Z","title_canon_sha256":"99816f68abff80a308694b7e6c722d3db9028d276e5db4df95072f0d221ae320"},"schema_version":"1.0","source":{"id":"1804.08291","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08291","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08291v1","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08291","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"GNVJOONGWQGR","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GNVJOONGWQGRZFXY","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GNVJOONG","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:94d4c73be887cb595f8c0c63725dd5bab6e7a1bf4c0d83e1381b9807cfedb13f","target":"graph","created_at":"2026-05-18T00:17:48Z","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 large time behavior of solutions to two-dimensional Euler and Navier-Stokes equations linearized about shear flows of the mixing layer type in the unbounded channel $\\mathbb{T} \\times \\mathbb{R}$. Under a simple spectral stability assumption on a self-adjoint operator, we prove a local form of the linear inviscid damping that is uniform with respect to small viscosity. We also prove a local form of the enhanced viscous dissipation that takes place at times of order $\\nu^{-1/3}$, $\\nu$ being the small viscosity. To prove these results, we use a Hamiltonian approach, following the c","authors_text":"Avy Soffer, Emmanuel Grenier, 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":"2018-04-23T08:59:39Z","title":"Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08291","kind":"arxiv","version":1},"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:c1e864e1ea34d8820edf4bed83aed339867fbacca74177d2b735a1084200a3d2","target":"record","created_at":"2026-05-18T00:17:48Z","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":"b63eac6bcc5f48352bd676d634916ce467596471a7f2d0d0a39ff6983c8fc0b0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-23T08:59:39Z","title_canon_sha256":"99816f68abff80a308694b7e6c722d3db9028d276e5db4df95072f0d221ae320"},"schema_version":"1.0","source":{"id":"1804.08291","kind":"arxiv","version":1}},"canonical_sha256":"336a9739a6b40d1c96f82a4494765c98eeb6d7bc1364090cf06d98276ce0690b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"336a9739a6b40d1c96f82a4494765c98eeb6d7bc1364090cf06d98276ce0690b","first_computed_at":"2026-05-18T00:17:48.881357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:48.881357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lUypS4HUz88Lxgj/1oUwNKkP47FOxViIYwCmbQ8J1VK+M0V2cMvehYxi05iC9tc7+hZCS/AfL1AWbzo5+2/SBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:48.881898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08291","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1e864e1ea34d8820edf4bed83aed339867fbacca74177d2b735a1084200a3d2","sha256:94d4c73be887cb595f8c0c63725dd5bab6e7a1bf4c0d83e1381b9807cfedb13f"],"state_sha256":"8f342f0b9687c18f51ede9b2f6c252b3769027163ec2755bb67f03d31e989f91"}