{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:23OUVTI3GAW4KHGZL6DOTT2RKJ","short_pith_number":"pith:23OUVTI3","schema_version":"1.0","canonical_sha256":"d6dd4acd1b302dc51cd95f86e9cf5152745557e427accfcc3be4fe1181a15479","source":{"kind":"arxiv","id":"1306.5028","version":3},"attestation_state":"computed","paper":{"title":"Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Jacob Bedrossian, Nader Masmoudi","submitted_at":"2013-06-21T00:40:24Z","abstract_excerpt":"We prove asymptotic stability of shear flows close to the planar Couette flow in the 2D inviscid Euler equations on $\\Torus \\times \\Real$. That is, given an initial perturbation of the Couette flow small in a suitable regularity class, specifically Gevrey space of class smaller than 2, the velocity converges strongly in L^2 to a shear flow which is also close to the Couette flow. The vorticity is asymptotically driven to small scales by a linear evolution and weakly converges as $t \\rightarrow \\pm\\infty$. The strong convergence of the velocity field is sometimes referred to as inviscid damping"},"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":"1306.5028","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-06-21T00:40:24Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"3d6e52b02b1a08d1ec65d22be9476004232b05bab8b03710c3f7462c5892ac63","abstract_canon_sha256":"b1294ecdf844ccc7b4430de3a2123c0691c9bf787508d5750d6e9f94d7c1f3c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:41.362573Z","signature_b64":"JxYkmWaeoXVfkMCE6jFKcgXN4K6y7d44j+2z/dM9DcnL+fVGEdznk6Cm9QD7zTfDe9lhz0GTGhxKtyIQRJWKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6dd4acd1b302dc51cd95f86e9cf5152745557e427accfcc3be4fe1181a15479","last_reissued_at":"2026-05-18T02:53:41.362040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:41.362040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Jacob Bedrossian, Nader Masmoudi","submitted_at":"2013-06-21T00:40:24Z","abstract_excerpt":"We prove asymptotic stability of shear flows close to the planar Couette flow in the 2D inviscid Euler equations on $\\Torus \\times \\Real$. That is, given an initial perturbation of the Couette flow small in a suitable regularity class, specifically Gevrey space of class smaller than 2, the velocity converges strongly in L^2 to a shear flow which is also close to the Couette flow. The vorticity is asymptotically driven to small scales by a linear evolution and weakly converges as $t \\rightarrow \\pm\\infty$. The strong convergence of the velocity field is sometimes referred to as inviscid damping"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5028","kind":"arxiv","version":3},"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":"1306.5028","created_at":"2026-05-18T02:53:41.362128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.5028v3","created_at":"2026-05-18T02:53:41.362128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5028","created_at":"2026-05-18T02:53:41.362128+00:00"},{"alias_kind":"pith_short_12","alias_value":"23OUVTI3GAW4","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"23OUVTI3GAW4KHGZ","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"23OUVTI3","created_at":"2026-05-18T12:27:30.460161+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ","json":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ.json","graph_json":"https://pith.science/api/pith-number/23OUVTI3GAW4KHGZL6DOTT2RKJ/graph.json","events_json":"https://pith.science/api/pith-number/23OUVTI3GAW4KHGZL6DOTT2RKJ/events.json","paper":"https://pith.science/paper/23OUVTI3"},"agent_actions":{"view_html":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ","download_json":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ.json","view_paper":"https://pith.science/paper/23OUVTI3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.5028&json=true","fetch_graph":"https://pith.science/api/pith-number/23OUVTI3GAW4KHGZL6DOTT2RKJ/graph.json","fetch_events":"https://pith.science/api/pith-number/23OUVTI3GAW4KHGZL6DOTT2RKJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ/action/storage_attestation","attest_author":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ/action/author_attestation","sign_citation":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ/action/citation_signature","submit_replication":"https://pith.science/pith/23OUVTI3GAW4KHGZL6DOTT2RKJ/action/replication_record"}},"created_at":"2026-05-18T02:53:41.362128+00:00","updated_at":"2026-05-18T02:53:41.362128+00:00"}