{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:Z6LCOVCI6BCBDRKTNJMG6WEGC2","short_pith_number":"pith:Z6LCOVCI","schema_version":"1.0","canonical_sha256":"cf96275448f04411c5536a586f5886169798761ed97d1ec9e445ffc4a0bcc80a","source":{"kind":"arxiv","id":"2505.23235","version":1},"attestation_state":"computed","paper":{"title":"Two phase micropolar fluid flow with unmatched densities modeled by Navier--Stokes--Cahn--Hilliard systems: Local strong well-posedness and consistency estimates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kei Fong Lam, Kin Shing Chan","submitted_at":"2025-05-29T08:36:14Z","abstract_excerpt":"We study a thermodynamically consistent phase field model for binary mixtures of micropolar fluids, i.e., fluids exhibiting internal rotations. Furnishing with classical no-slip, no-spin and no-flux boundary conditions, in a smooth and bounded three-dimensional domain, we establish the well-posedness of local-in-time strong solutions. Since the model studied is a generalization of the earlier model introduced by Abels, Garcke and Gr\\\"un for binary Newtonian fluids with unmatched densities, we provide a consistency result between the corresponding strong solutions to both models in terms of a p"},"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":"2505.23235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-05-29T08:36:14Z","cross_cats_sorted":[],"title_canon_sha256":"9cf0d62c9aef7bc0670fec8b912ac4df1d8d5a76ae25fc875b13c7e3f6398036","abstract_canon_sha256":"cfa101594b3a2e25fa231080b39d8a41330bb366856a06623aa84f2a19dd96bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:58.127563Z","signature_b64":"K0PmLhfPcw7epKlzKzs0TEQH+E290znT2P3VFlvsKoA4W1bdS+Jy0CwKPhCEckurtnZ9MZL5prSGoRnu1TH8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf96275448f04411c5536a586f5886169798761ed97d1ec9e445ffc4a0bcc80a","last_reissued_at":"2026-07-05T11:11:58.127067Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:58.127067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two phase micropolar fluid flow with unmatched densities modeled by Navier--Stokes--Cahn--Hilliard systems: Local strong well-posedness and consistency estimates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kei Fong Lam, Kin Shing Chan","submitted_at":"2025-05-29T08:36:14Z","abstract_excerpt":"We study a thermodynamically consistent phase field model for binary mixtures of micropolar fluids, i.e., fluids exhibiting internal rotations. Furnishing with classical no-slip, no-spin and no-flux boundary conditions, in a smooth and bounded three-dimensional domain, we establish the well-posedness of local-in-time strong solutions. Since the model studied is a generalization of the earlier model introduced by Abels, Garcke and Gr\\\"un for binary Newtonian fluids with unmatched densities, we provide a consistency result between the corresponding strong solutions to both models in terms of a p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23235","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.23235/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2505.23235","created_at":"2026-07-05T11:11:58.127129+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.23235v1","created_at":"2026-07-05T11:11:58.127129+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23235","created_at":"2026-07-05T11:11:58.127129+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z6LCOVCI6BCB","created_at":"2026-07-05T11:11:58.127129+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z6LCOVCI6BCBDRKT","created_at":"2026-07-05T11:11:58.127129+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z6LCOVCI","created_at":"2026-07-05T11:11:58.127129+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/Z6LCOVCI6BCBDRKTNJMG6WEGC2","json":"https://pith.science/pith/Z6LCOVCI6BCBDRKTNJMG6WEGC2.json","graph_json":"https://pith.science/api/pith-number/Z6LCOVCI6BCBDRKTNJMG6WEGC2/graph.json","events_json":"https://pith.science/api/pith-number/Z6LCOVCI6BCBDRKTNJMG6WEGC2/events.json","paper":"https://pith.science/paper/Z6LCOVCI"},"agent_actions":{"view_html":"https://pith.science/pith/Z6LCOVCI6BCBDRKTNJMG6WEGC2","download_json":"https://pith.science/pith/Z6LCOVCI6BCBDRKTNJMG6WEGC2.json","view_paper":"https://pith.science/paper/Z6LCOVCI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.23235&json=true","fetch_graph":"https://pith.science/api/pith-number/Z6LCOVCI6BCBDRKTNJMG6WEGC2/graph.json","fetch_events":"https://pith.science/api/pith-number/Z6LCOVCI6BCBDRKTNJMG6WEGC2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z6LCOVCI6BCBDRKTNJMG6WEGC2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z6LCOVCI6BCBDRKTNJMG6WEGC2/action/storage_attestation","attest_author":"https://pith.science/pith/Z6LCOVCI6BCBDRKTNJMG6WEGC2/action/author_attestation","sign_citation":"https://pith.science/pith/Z6LCOVCI6BCBDRKTNJMG6WEGC2/action/citation_signature","submit_replication":"https://pith.science/pith/Z6LCOVCI6BCBDRKTNJMG6WEGC2/action/replication_record"}},"created_at":"2026-07-05T11:11:58.127129+00:00","updated_at":"2026-07-05T11:11:58.127129+00:00"}