{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GNVJOONGWQGRZFXYFJCJI5S4TD","short_pith_number":"pith:GNVJOONG","schema_version":"1.0","canonical_sha256":"336a9739a6b40d1c96f82a4494765c98eeb6d7bc1364090cf06d98276ce0690b","source":{"kind":"arxiv","id":"1804.08291","version":1},"attestation_state":"computed","paper":{"title":"Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Avy Soffer, Emmanuel Grenier, Fr\\'ed\\'eric Rousset, Toan T. Nguyen","submitted_at":"2018-04-23T08:59:39Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1804.08291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-23T08:59:39Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"99816f68abff80a308694b7e6c722d3db9028d276e5db4df95072f0d221ae320","abstract_canon_sha256":"b63eac6bcc5f48352bd676d634916ce467596471a7f2d0d0a39ff6983c8fc0b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:48.881898Z","signature_b64":"lUypS4HUz88Lxgj/1oUwNKkP47FOxViIYwCmbQ8J1VK+M0V2cMvehYxi05iC9tc7+hZCS/AfL1AWbzo5+2/SBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"336a9739a6b40d1c96f82a4494765c98eeb6d7bc1364090cf06d98276ce0690b","last_reissued_at":"2026-05-18T00:17:48.881357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:48.881357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Avy Soffer, Emmanuel Grenier, Fr\\'ed\\'eric Rousset, Toan T. Nguyen","submitted_at":"2018-04-23T08:59:39Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08291","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1804.08291","created_at":"2026-05-18T00:17:48.881441+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.08291v1","created_at":"2026-05-18T00:17:48.881441+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08291","created_at":"2026-05-18T00:17:48.881441+00:00"},{"alias_kind":"pith_short_12","alias_value":"GNVJOONGWQGR","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GNVJOONGWQGRZFXY","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GNVJOONG","created_at":"2026-05-18T12:32:25.280505+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.04012","citing_title":"Separation of time-scales in drift-diffusion equations on $\\mathbb{R}^2$","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD","json":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD.json","graph_json":"https://pith.science/api/pith-number/GNVJOONGWQGRZFXYFJCJI5S4TD/graph.json","events_json":"https://pith.science/api/pith-number/GNVJOONGWQGRZFXYFJCJI5S4TD/events.json","paper":"https://pith.science/paper/GNVJOONG"},"agent_actions":{"view_html":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD","download_json":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD.json","view_paper":"https://pith.science/paper/GNVJOONG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.08291&json=true","fetch_graph":"https://pith.science/api/pith-number/GNVJOONGWQGRZFXYFJCJI5S4TD/graph.json","fetch_events":"https://pith.science/api/pith-number/GNVJOONGWQGRZFXYFJCJI5S4TD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD/action/storage_attestation","attest_author":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD/action/author_attestation","sign_citation":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD/action/citation_signature","submit_replication":"https://pith.science/pith/GNVJOONGWQGRZFXYFJCJI5S4TD/action/replication_record"}},"created_at":"2026-05-18T00:17:48.881441+00:00","updated_at":"2026-05-18T00:17:48.881441+00:00"}