{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JEZMFA3D26IJZX3N2SSN27VBLL","short_pith_number":"pith:JEZMFA3D","schema_version":"1.0","canonical_sha256":"4932c28363d7909cdf6dd4a4dd7ea15ae79eac7c74faddf0f0aa586c60ca366b","source":{"kind":"arxiv","id":"1512.04852","version":1},"attestation_state":"computed","paper":{"title":"Dissipative measure-valued solutions to the compressible Navier-Stokes system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Agnieszka \\'Swierczewska-Gwiazda, Eduard Feireisl, Emil Wiedemann, Piotr Gwiazda","submitted_at":"2015-12-15T16:57:27Z","abstract_excerpt":"We introduce a new concept of dissipative measure-valued solution to the compressible Navier-Stokes system satisfying, in addition, a relevant form of the total energy balance. Then we show that a dissipative measure-valued and a standard smooth classical solution originating from the same initial data coincide (weak-strong uniqueness principle) as long as the latter exists. Such a result facilitates considerably the proof of convergence of solutions to various approximations including certain numerical schemes that are known to generate a measure-valued solution. As a byproduct we show that a"},"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":"1512.04852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-15T16:57:27Z","cross_cats_sorted":[],"title_canon_sha256":"2d6041541769a6863754885e90b3bfe27e383c039ae8298cfba87034e946de40","abstract_canon_sha256":"fb61f0ad4cf54b0011c551a992f28ee7379a3b722534b95857f75752886fae32"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:15.273147Z","signature_b64":"iZtQZg2DujMeukwtPcPV9tuOTZigG9nG+UvR7YlEyH+6EFf3L4nMOw3zJgpX+1Z1CAIogNk9+FzRy/hUiNp6CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4932c28363d7909cdf6dd4a4dd7ea15ae79eac7c74faddf0f0aa586c60ca366b","last_reissued_at":"2026-05-18T01:24:15.272470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:15.272470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dissipative measure-valued solutions to the compressible Navier-Stokes system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Agnieszka \\'Swierczewska-Gwiazda, Eduard Feireisl, Emil Wiedemann, Piotr Gwiazda","submitted_at":"2015-12-15T16:57:27Z","abstract_excerpt":"We introduce a new concept of dissipative measure-valued solution to the compressible Navier-Stokes system satisfying, in addition, a relevant form of the total energy balance. Then we show that a dissipative measure-valued and a standard smooth classical solution originating from the same initial data coincide (weak-strong uniqueness principle) as long as the latter exists. Such a result facilitates considerably the proof of convergence of solutions to various approximations including certain numerical schemes that are known to generate a measure-valued solution. As a byproduct we show that a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04852","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":""},"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":"1512.04852","created_at":"2026-05-18T01:24:15.272566+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.04852v1","created_at":"2026-05-18T01:24:15.272566+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04852","created_at":"2026-05-18T01:24:15.272566+00:00"},{"alias_kind":"pith_short_12","alias_value":"JEZMFA3D26IJ","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JEZMFA3D26IJZX3N","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JEZMFA3D","created_at":"2026-05-18T12:29:27.538025+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/JEZMFA3D26IJZX3N2SSN27VBLL","json":"https://pith.science/pith/JEZMFA3D26IJZX3N2SSN27VBLL.json","graph_json":"https://pith.science/api/pith-number/JEZMFA3D26IJZX3N2SSN27VBLL/graph.json","events_json":"https://pith.science/api/pith-number/JEZMFA3D26IJZX3N2SSN27VBLL/events.json","paper":"https://pith.science/paper/JEZMFA3D"},"agent_actions":{"view_html":"https://pith.science/pith/JEZMFA3D26IJZX3N2SSN27VBLL","download_json":"https://pith.science/pith/JEZMFA3D26IJZX3N2SSN27VBLL.json","view_paper":"https://pith.science/paper/JEZMFA3D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.04852&json=true","fetch_graph":"https://pith.science/api/pith-number/JEZMFA3D26IJZX3N2SSN27VBLL/graph.json","fetch_events":"https://pith.science/api/pith-number/JEZMFA3D26IJZX3N2SSN27VBLL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JEZMFA3D26IJZX3N2SSN27VBLL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JEZMFA3D26IJZX3N2SSN27VBLL/action/storage_attestation","attest_author":"https://pith.science/pith/JEZMFA3D26IJZX3N2SSN27VBLL/action/author_attestation","sign_citation":"https://pith.science/pith/JEZMFA3D26IJZX3N2SSN27VBLL/action/citation_signature","submit_replication":"https://pith.science/pith/JEZMFA3D26IJZX3N2SSN27VBLL/action/replication_record"}},"created_at":"2026-05-18T01:24:15.272566+00:00","updated_at":"2026-05-18T01:24:15.272566+00:00"}