{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LTI7PLO3XOKJR235AZ5JKIJZF5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"31cf03bbaa11f150b23e5aad7d8d4de5710d2ffbcbd00846a0ca15e74144bc06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-25T06:03:37Z","title_canon_sha256":"d873ebe8774d699f6e41c636941fc425b9d2ac32ef3e5351e848ebb2dd99f64c"},"schema_version":"1.0","source":{"id":"1801.08283","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08283","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08283v1","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08283","created_at":"2026-05-18T00:25:06Z"},{"alias_kind":"pith_short_12","alias_value":"LTI7PLO3XOKJ","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LTI7PLO3XOKJR235","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LTI7PLO3","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:36b0330ec54f520cccdd1cdb08c5a9a3e53698ce1aaff21c81ce5a313ff561f8","target":"graph","created_at":"2026-05-18T00:25:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we study the global well-posedness of a coupled system of kinetic and fluid equations. More precisely, we establish the global existence of weak solutions for Navier-Stokes-BGK system consisting of the BGK model of Boltzmann equation and incompressible Navier-Stokes equations coupled through a drag forcing term. This is achieved by combining weak compactness of the particle interaction operator based on Dunford-Pettis theorem, strong compactness of macroscopic fields of the kinetic part relied on velocity averaging lemma and a high order moment estimate, and strong compactness o","authors_text":"Seok-Bae Yun, Young-Pil Choi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-25T06:03:37Z","title":"Global existence of weak solutions for Navier-Stokes-BGK system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08283","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3c64310e1efb18ef5fe94cdf122d1fdbee063b293e55539798ef52836ce87b99","target":"record","created_at":"2026-05-18T00:25:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"31cf03bbaa11f150b23e5aad7d8d4de5710d2ffbcbd00846a0ca15e74144bc06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-25T06:03:37Z","title_canon_sha256":"d873ebe8774d699f6e41c636941fc425b9d2ac32ef3e5351e848ebb2dd99f64c"},"schema_version":"1.0","source":{"id":"1801.08283","kind":"arxiv","version":1}},"canonical_sha256":"5cd1f7addbbb9498eb7d067a9521392f52f0a0f61f7226301cccfda0d3969f82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cd1f7addbbb9498eb7d067a9521392f52f0a0f61f7226301cccfda0d3969f82","first_computed_at":"2026-05-18T00:25:06.644585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:06.644585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fa92kJc4TVvsz5aHNX0Ehnu4x7tlpQFLN0/vw0UmX9nsFV7vEiFlNJE99sOswbjFVE7VA4Z25bslflHUQalgAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:06.645067Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08283","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c64310e1efb18ef5fe94cdf122d1fdbee063b293e55539798ef52836ce87b99","sha256:36b0330ec54f520cccdd1cdb08c5a9a3e53698ce1aaff21c81ce5a313ff561f8"],"state_sha256":"3ae7b2fbd1cd1b5053535b03c36d332ca91e65b2a5b0ddff533184716d5a6aeb"}