{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:2SOVZ53S7E7WUBTWCRRFESBMQT","short_pith_number":"pith:2SOVZ53S","schema_version":"1.0","canonical_sha256":"d49d5cf772f93f6a0676146252482c84ee9cf8043e6b6cadaca4c04344b0d70a","source":{"kind":"arxiv","id":"1006.3618","version":2},"attestation_state":"computed","paper":{"title":"A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Matthias Geissert, Tobias Hansel","submitted_at":"2010-06-18T06:44:12Z","abstract_excerpt":"Consider the Navier-Stokes flow past a rotating obstacle with a general time-dependent angular velocity and a time-dependent outflow condition at infinity. After rewriting the problem on a fixed domain, one obtains a non-autonomous system of equations with unbounded drift terms. It is shown that the solution to a model problem in the whole space case $\\R^d$ is governed by a strongly continuous evolution system on $L^p_\\sigma(\\R^d)$ for $1<p<\\infty$. The strategy is to derive a representation formula, similar to the one known in the case of non-autonomous Ornstein-Uhlenbeck equations. This expl"},"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":"1006.3618","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-06-18T06:44:12Z","cross_cats_sorted":[],"title_canon_sha256":"77fc7cecaa14fb242542fef62e65ef2020b7cb69611c82f207e5ab4944c83e1c","abstract_canon_sha256":"283a8935d942fc41781b5b2c9397983c382731ead9655546bc8a392e0ca3c621"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:54.674582Z","signature_b64":"1LlShpU5gHW09eSjb/c659LZaYdIVrAAj9Ww4egNrZD/aA8H4mD02bFUW2hMDaVt5AhvnISuuQ/e2PoUJpu1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d49d5cf772f93f6a0676146252482c84ee9cf8043e6b6cadaca4c04344b0d70a","last_reissued_at":"2026-05-18T04:18:54.674179Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:54.674179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Matthias Geissert, Tobias Hansel","submitted_at":"2010-06-18T06:44:12Z","abstract_excerpt":"Consider the Navier-Stokes flow past a rotating obstacle with a general time-dependent angular velocity and a time-dependent outflow condition at infinity. After rewriting the problem on a fixed domain, one obtains a non-autonomous system of equations with unbounded drift terms. It is shown that the solution to a model problem in the whole space case $\\R^d$ is governed by a strongly continuous evolution system on $L^p_\\sigma(\\R^d)$ for $1<p<\\infty$. The strategy is to derive a representation formula, similar to the one known in the case of non-autonomous Ornstein-Uhlenbeck equations. This expl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3618","kind":"arxiv","version":2},"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":"1006.3618","created_at":"2026-05-18T04:18:54.674233+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.3618v2","created_at":"2026-05-18T04:18:54.674233+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3618","created_at":"2026-05-18T04:18:54.674233+00:00"},{"alias_kind":"pith_short_12","alias_value":"2SOVZ53S7E7W","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"2SOVZ53S7E7WUBTW","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"2SOVZ53S","created_at":"2026-05-18T12:26:03.138858+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/2SOVZ53S7E7WUBTWCRRFESBMQT","json":"https://pith.science/pith/2SOVZ53S7E7WUBTWCRRFESBMQT.json","graph_json":"https://pith.science/api/pith-number/2SOVZ53S7E7WUBTWCRRFESBMQT/graph.json","events_json":"https://pith.science/api/pith-number/2SOVZ53S7E7WUBTWCRRFESBMQT/events.json","paper":"https://pith.science/paper/2SOVZ53S"},"agent_actions":{"view_html":"https://pith.science/pith/2SOVZ53S7E7WUBTWCRRFESBMQT","download_json":"https://pith.science/pith/2SOVZ53S7E7WUBTWCRRFESBMQT.json","view_paper":"https://pith.science/paper/2SOVZ53S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.3618&json=true","fetch_graph":"https://pith.science/api/pith-number/2SOVZ53S7E7WUBTWCRRFESBMQT/graph.json","fetch_events":"https://pith.science/api/pith-number/2SOVZ53S7E7WUBTWCRRFESBMQT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2SOVZ53S7E7WUBTWCRRFESBMQT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2SOVZ53S7E7WUBTWCRRFESBMQT/action/storage_attestation","attest_author":"https://pith.science/pith/2SOVZ53S7E7WUBTWCRRFESBMQT/action/author_attestation","sign_citation":"https://pith.science/pith/2SOVZ53S7E7WUBTWCRRFESBMQT/action/citation_signature","submit_replication":"https://pith.science/pith/2SOVZ53S7E7WUBTWCRRFESBMQT/action/replication_record"}},"created_at":"2026-05-18T04:18:54.674233+00:00","updated_at":"2026-05-18T04:18:54.674233+00:00"}