{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DF6NM6JPAFDNQ6I6XODGJC5OSK","short_pith_number":"pith:DF6NM6JP","schema_version":"1.0","canonical_sha256":"197cd6792f0146d8791ebb86648bae92aa53373a1bc0fb8e73d7330ac61f4e1a","source":{"kind":"arxiv","id":"1304.6651","version":2},"attestation_state":"computed","paper":{"title":"Well-posedness of the Stokes-Coriolis system in the half-space over a rough surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Anne-Laure Dalibard (DMA, Christophe Prange, CIMS)","submitted_at":"2013-04-24T16:26:35Z","abstract_excerpt":"This paper is devoted to the well-posedness of the stationary $3$d Stokes-Coriolis system set in a half-space with rough bottom and Dirichlet data which does not decrease at space infinity. Our system is a linearized version of the Ekman boundary layer system. We look for a solution of infinite energy in a space of Sobolev regularity. Following an idea of G\\'erard-Varet and Masmoudi, the general strategy is to reduce the problem to a bumpy channel bounded in the vertical direction thanks a transparent boundary condition involving a Dirichlet to Neumann operator. Our analysis emphasizes some st"},"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":"1304.6651","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-24T16:26:35Z","cross_cats_sorted":[],"title_canon_sha256":"b42dbd49184253a41a417052608654f9a54a688708e7bd38d62d8faa58d9aeaa","abstract_canon_sha256":"baa999af3cedc40b24503fc81f7a325848df20beb641d396d25f02153ddc52a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:25.446564Z","signature_b64":"HJxrfhfC0ByOXFRKxI8VhCuL+0C2K/UBLvUwsQKf1ham9sRzDUY3+IS3SJlTHtU/LAefXM11jNPGJXfiZNuDDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"197cd6792f0146d8791ebb86648bae92aa53373a1bc0fb8e73d7330ac61f4e1a","last_reissued_at":"2026-05-18T01:22:25.445828Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:25.445828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Well-posedness of the Stokes-Coriolis system in the half-space over a rough surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Anne-Laure Dalibard (DMA, Christophe Prange, CIMS)","submitted_at":"2013-04-24T16:26:35Z","abstract_excerpt":"This paper is devoted to the well-posedness of the stationary $3$d Stokes-Coriolis system set in a half-space with rough bottom and Dirichlet data which does not decrease at space infinity. Our system is a linearized version of the Ekman boundary layer system. We look for a solution of infinite energy in a space of Sobolev regularity. Following an idea of G\\'erard-Varet and Masmoudi, the general strategy is to reduce the problem to a bumpy channel bounded in the vertical direction thanks a transparent boundary condition involving a Dirichlet to Neumann operator. Our analysis emphasizes some st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6651","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":"1304.6651","created_at":"2026-05-18T01:22:25.445933+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.6651v2","created_at":"2026-05-18T01:22:25.445933+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6651","created_at":"2026-05-18T01:22:25.445933+00:00"},{"alias_kind":"pith_short_12","alias_value":"DF6NM6JPAFDN","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DF6NM6JPAFDNQ6I6","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DF6NM6JP","created_at":"2026-05-18T12:27:43.054852+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/DF6NM6JPAFDNQ6I6XODGJC5OSK","json":"https://pith.science/pith/DF6NM6JPAFDNQ6I6XODGJC5OSK.json","graph_json":"https://pith.science/api/pith-number/DF6NM6JPAFDNQ6I6XODGJC5OSK/graph.json","events_json":"https://pith.science/api/pith-number/DF6NM6JPAFDNQ6I6XODGJC5OSK/events.json","paper":"https://pith.science/paper/DF6NM6JP"},"agent_actions":{"view_html":"https://pith.science/pith/DF6NM6JPAFDNQ6I6XODGJC5OSK","download_json":"https://pith.science/pith/DF6NM6JPAFDNQ6I6XODGJC5OSK.json","view_paper":"https://pith.science/paper/DF6NM6JP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.6651&json=true","fetch_graph":"https://pith.science/api/pith-number/DF6NM6JPAFDNQ6I6XODGJC5OSK/graph.json","fetch_events":"https://pith.science/api/pith-number/DF6NM6JPAFDNQ6I6XODGJC5OSK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DF6NM6JPAFDNQ6I6XODGJC5OSK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DF6NM6JPAFDNQ6I6XODGJC5OSK/action/storage_attestation","attest_author":"https://pith.science/pith/DF6NM6JPAFDNQ6I6XODGJC5OSK/action/author_attestation","sign_citation":"https://pith.science/pith/DF6NM6JPAFDNQ6I6XODGJC5OSK/action/citation_signature","submit_replication":"https://pith.science/pith/DF6NM6JPAFDNQ6I6XODGJC5OSK/action/replication_record"}},"created_at":"2026-05-18T01:22:25.445933+00:00","updated_at":"2026-05-18T01:22:25.445933+00:00"}