{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DBPPTU67EWKKV4MQDIGS7JW6I7","short_pith_number":"pith:DBPPTU67","schema_version":"1.0","canonical_sha256":"185ef9d3df2594aaf1901a0d2fa6de47f5b23db0331e50373d4f7cada40c1a8b","source":{"kind":"arxiv","id":"1510.05242","version":3},"attestation_state":"computed","paper":{"title":"Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Huijiang Zhao, Lin He, Zhengzheng Chen","submitted_at":"2015-10-18T13:30:37Z","abstract_excerpt":"The global solutions with large initial data for the isothermal compressible fluid models of Korteweg type has been studied by many authors in recent years. However, little is known of global large solutions to the nonisothermal compressible fluid models of Korteweg type up to now. This paper is devoted to this problem, and we are concerned with the global existence of smooth and non-vacuum solutions with large initial data to the Cauchy problem of the one-dimensional nonisothermal compressible fluid models of Korteweg type. The case when the viscosity coefficient $\\mu(\\rho)=\\rho^\\alpha$, the "},"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":"1510.05242","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-18T13:30:37Z","cross_cats_sorted":[],"title_canon_sha256":"c5819c8e492cb50c865f1c717d2d6c23790025faaedc0f016a157fb9072cf597","abstract_canon_sha256":"bf3c6ddfc78ea5516074682255d9d6ab1be8df65d2f62b572482a6c082b6188a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:31.043704Z","signature_b64":"7aC3iHas8tat2kJiVaxGlXZyJW4wWYrMwL36phQ7v+E85dZwI9ZUCuXaWlYJf2x1UVcheApN3z+d/fW+btioDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"185ef9d3df2594aaf1901a0d2fa6de47f5b23db0331e50373d4f7cada40c1a8b","last_reissued_at":"2026-05-18T01:27:31.042897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:31.042897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Huijiang Zhao, Lin He, Zhengzheng Chen","submitted_at":"2015-10-18T13:30:37Z","abstract_excerpt":"The global solutions with large initial data for the isothermal compressible fluid models of Korteweg type has been studied by many authors in recent years. However, little is known of global large solutions to the nonisothermal compressible fluid models of Korteweg type up to now. This paper is devoted to this problem, and we are concerned with the global existence of smooth and non-vacuum solutions with large initial data to the Cauchy problem of the one-dimensional nonisothermal compressible fluid models of Korteweg type. The case when the viscosity coefficient $\\mu(\\rho)=\\rho^\\alpha$, the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05242","kind":"arxiv","version":3},"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":"1510.05242","created_at":"2026-05-18T01:27:31.043022+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.05242v3","created_at":"2026-05-18T01:27:31.043022+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05242","created_at":"2026-05-18T01:27:31.043022+00:00"},{"alias_kind":"pith_short_12","alias_value":"DBPPTU67EWKK","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DBPPTU67EWKKV4MQ","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DBPPTU67","created_at":"2026-05-18T12:29:17.054201+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/DBPPTU67EWKKV4MQDIGS7JW6I7","json":"https://pith.science/pith/DBPPTU67EWKKV4MQDIGS7JW6I7.json","graph_json":"https://pith.science/api/pith-number/DBPPTU67EWKKV4MQDIGS7JW6I7/graph.json","events_json":"https://pith.science/api/pith-number/DBPPTU67EWKKV4MQDIGS7JW6I7/events.json","paper":"https://pith.science/paper/DBPPTU67"},"agent_actions":{"view_html":"https://pith.science/pith/DBPPTU67EWKKV4MQDIGS7JW6I7","download_json":"https://pith.science/pith/DBPPTU67EWKKV4MQDIGS7JW6I7.json","view_paper":"https://pith.science/paper/DBPPTU67","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.05242&json=true","fetch_graph":"https://pith.science/api/pith-number/DBPPTU67EWKKV4MQDIGS7JW6I7/graph.json","fetch_events":"https://pith.science/api/pith-number/DBPPTU67EWKKV4MQDIGS7JW6I7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DBPPTU67EWKKV4MQDIGS7JW6I7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DBPPTU67EWKKV4MQDIGS7JW6I7/action/storage_attestation","attest_author":"https://pith.science/pith/DBPPTU67EWKKV4MQDIGS7JW6I7/action/author_attestation","sign_citation":"https://pith.science/pith/DBPPTU67EWKKV4MQDIGS7JW6I7/action/citation_signature","submit_replication":"https://pith.science/pith/DBPPTU67EWKKV4MQDIGS7JW6I7/action/replication_record"}},"created_at":"2026-05-18T01:27:31.043022+00:00","updated_at":"2026-05-18T01:27:31.043022+00:00"}