{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:5D4X4GRKFRG5MCODIE5JFO5DS6","short_pith_number":"pith:5D4X4GRK","schema_version":"1.0","canonical_sha256":"e8f97e1a2a2c4dd609c3413a92bba39796251bd5ec3517724114f0a9f59301e7","source":{"kind":"arxiv","id":"2111.15294","version":1},"attestation_state":"computed","paper":{"title":"Homogenization of a coupled incompressible Stokes-Cahn-Hilliard system modeling binary fluid mixture in a porous medium","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hari Shankar Mahato, Nitu Lakhmara","submitted_at":"2021-11-30T11:15:44Z","abstract_excerpt":"A phase-field model for two-phase immiscible, incompressible porous media flow with surface tension effects is considered. The pore-scale model consists of a strongly coupled system of Stokes-Cahn-Hilliard equations. The fluids are separated by an evolving diffuse interface of a finite width depending on the scale parameter $\\varepsilon$ in the considered model. At first the well-posedness of a coupled system of partial differential equations at micro scale is investigated. We obtained the homogenized equations for the microscopic model via unfolding operator and two-scale convergence approach"},"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":"2111.15294","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-11-30T11:15:44Z","cross_cats_sorted":[],"title_canon_sha256":"4012056d311cb415704f7862d6f1647b71c3e854b685e4a9a1e261051b42c89b","abstract_canon_sha256":"282026b85b8fe0d6e2d368f64455770c9fc87992f67fa28c16e6e24466ee9cdc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:35:12.086124Z","signature_b64":"BaLXGsLxoQMCAp4Ah2LtaeXQ/KzvASX9bMavPbd4QDB2Ims8DosG5CsnCFILzZyhDTF0tikMqAYwL3zT6yYwAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8f97e1a2a2c4dd609c3413a92bba39796251bd5ec3517724114f0a9f59301e7","last_reissued_at":"2026-07-05T05:35:12.085685Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:35:12.085685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogenization of a coupled incompressible Stokes-Cahn-Hilliard system modeling binary fluid mixture in a porous medium","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hari Shankar Mahato, Nitu Lakhmara","submitted_at":"2021-11-30T11:15:44Z","abstract_excerpt":"A phase-field model for two-phase immiscible, incompressible porous media flow with surface tension effects is considered. The pore-scale model consists of a strongly coupled system of Stokes-Cahn-Hilliard equations. The fluids are separated by an evolving diffuse interface of a finite width depending on the scale parameter $\\varepsilon$ in the considered model. At first the well-posedness of a coupled system of partial differential equations at micro scale is investigated. We obtained the homogenized equations for the microscopic model via unfolding operator and two-scale convergence approach"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.15294","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/2111.15294/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":"2111.15294","created_at":"2026-07-05T05:35:12.085744+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.15294v1","created_at":"2026-07-05T05:35:12.085744+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.15294","created_at":"2026-07-05T05:35:12.085744+00:00"},{"alias_kind":"pith_short_12","alias_value":"5D4X4GRKFRG5","created_at":"2026-07-05T05:35:12.085744+00:00"},{"alias_kind":"pith_short_16","alias_value":"5D4X4GRKFRG5MCOD","created_at":"2026-07-05T05:35:12.085744+00:00"},{"alias_kind":"pith_short_8","alias_value":"5D4X4GRK","created_at":"2026-07-05T05:35:12.085744+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/5D4X4GRKFRG5MCODIE5JFO5DS6","json":"https://pith.science/pith/5D4X4GRKFRG5MCODIE5JFO5DS6.json","graph_json":"https://pith.science/api/pith-number/5D4X4GRKFRG5MCODIE5JFO5DS6/graph.json","events_json":"https://pith.science/api/pith-number/5D4X4GRKFRG5MCODIE5JFO5DS6/events.json","paper":"https://pith.science/paper/5D4X4GRK"},"agent_actions":{"view_html":"https://pith.science/pith/5D4X4GRKFRG5MCODIE5JFO5DS6","download_json":"https://pith.science/pith/5D4X4GRKFRG5MCODIE5JFO5DS6.json","view_paper":"https://pith.science/paper/5D4X4GRK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.15294&json=true","fetch_graph":"https://pith.science/api/pith-number/5D4X4GRKFRG5MCODIE5JFO5DS6/graph.json","fetch_events":"https://pith.science/api/pith-number/5D4X4GRKFRG5MCODIE5JFO5DS6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5D4X4GRKFRG5MCODIE5JFO5DS6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5D4X4GRKFRG5MCODIE5JFO5DS6/action/storage_attestation","attest_author":"https://pith.science/pith/5D4X4GRKFRG5MCODIE5JFO5DS6/action/author_attestation","sign_citation":"https://pith.science/pith/5D4X4GRKFRG5MCODIE5JFO5DS6/action/citation_signature","submit_replication":"https://pith.science/pith/5D4X4GRKFRG5MCODIE5JFO5DS6/action/replication_record"}},"created_at":"2026-07-05T05:35:12.085744+00:00","updated_at":"2026-07-05T05:35:12.085744+00:00"}