{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:C6WWY4T5TAVFTUV2E4Q2RQNOYI","short_pith_number":"pith:C6WWY4T5","schema_version":"1.0","canonical_sha256":"17ad6c727d982a59d2ba2721a8c1aec2333be6792b7ddef40d9ab8d98e8f5015","source":{"kind":"arxiv","id":"1406.1898","version":1},"attestation_state":"computed","paper":{"title":"A Hamilton-Jacobi approach for front propagation in kinetic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Emeric Bouin (UMPA-ENSL)","submitted_at":"2014-06-07T15:46:49Z","abstract_excerpt":"In this paper we use the theory of viscosity solutions for Hamilton-Jacobi equations to study propagation phenomena in kinetic equations. We perform the hydrodynamic limit of some kinetic models thanks to an adapted WKB ansatz. Our models describe particles moving according to a velocity-jump process, and proliferating thanks to a reaction term of monostable type. The scattering operator is supposed to satisfy a maximum principle. When the velocity space is bounded, we show, under suitable hypotheses, that the phase converges towards the viscosity solution of some constrained Hamilton-Jacobi e"},"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":"1406.1898","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-07T15:46:49Z","cross_cats_sorted":[],"title_canon_sha256":"22784550dfdb9a775fb767e3bc80f4568de418d78d280ab7180377522ce06ecb","abstract_canon_sha256":"dc5ed7aed9dc15b8058f926441d3dfdcf536adebc7f28e0b35c346181f9b2cef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:12.275999Z","signature_b64":"HWea745XMB7YGE3nD0FJdvqHyNNDPipTPhKy8Ge6ojk/698y3/GpYSFuQqqV5uMXvl154PZZPRhivrlETgI9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17ad6c727d982a59d2ba2721a8c1aec2333be6792b7ddef40d9ab8d98e8f5015","last_reissued_at":"2026-05-18T02:50:12.275501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:12.275501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Hamilton-Jacobi approach for front propagation in kinetic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Emeric Bouin (UMPA-ENSL)","submitted_at":"2014-06-07T15:46:49Z","abstract_excerpt":"In this paper we use the theory of viscosity solutions for Hamilton-Jacobi equations to study propagation phenomena in kinetic equations. We perform the hydrodynamic limit of some kinetic models thanks to an adapted WKB ansatz. Our models describe particles moving according to a velocity-jump process, and proliferating thanks to a reaction term of monostable type. The scattering operator is supposed to satisfy a maximum principle. When the velocity space is bounded, we show, under suitable hypotheses, that the phase converges towards the viscosity solution of some constrained Hamilton-Jacobi e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1898","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":"1406.1898","created_at":"2026-05-18T02:50:12.275581+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.1898v1","created_at":"2026-05-18T02:50:12.275581+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1898","created_at":"2026-05-18T02:50:12.275581+00:00"},{"alias_kind":"pith_short_12","alias_value":"C6WWY4T5TAVF","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"C6WWY4T5TAVFTUV2","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"C6WWY4T5","created_at":"2026-05-18T12:28:22.404517+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/C6WWY4T5TAVFTUV2E4Q2RQNOYI","json":"https://pith.science/pith/C6WWY4T5TAVFTUV2E4Q2RQNOYI.json","graph_json":"https://pith.science/api/pith-number/C6WWY4T5TAVFTUV2E4Q2RQNOYI/graph.json","events_json":"https://pith.science/api/pith-number/C6WWY4T5TAVFTUV2E4Q2RQNOYI/events.json","paper":"https://pith.science/paper/C6WWY4T5"},"agent_actions":{"view_html":"https://pith.science/pith/C6WWY4T5TAVFTUV2E4Q2RQNOYI","download_json":"https://pith.science/pith/C6WWY4T5TAVFTUV2E4Q2RQNOYI.json","view_paper":"https://pith.science/paper/C6WWY4T5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.1898&json=true","fetch_graph":"https://pith.science/api/pith-number/C6WWY4T5TAVFTUV2E4Q2RQNOYI/graph.json","fetch_events":"https://pith.science/api/pith-number/C6WWY4T5TAVFTUV2E4Q2RQNOYI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C6WWY4T5TAVFTUV2E4Q2RQNOYI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C6WWY4T5TAVFTUV2E4Q2RQNOYI/action/storage_attestation","attest_author":"https://pith.science/pith/C6WWY4T5TAVFTUV2E4Q2RQNOYI/action/author_attestation","sign_citation":"https://pith.science/pith/C6WWY4T5TAVFTUV2E4Q2RQNOYI/action/citation_signature","submit_replication":"https://pith.science/pith/C6WWY4T5TAVFTUV2E4Q2RQNOYI/action/replication_record"}},"created_at":"2026-05-18T02:50:12.275581+00:00","updated_at":"2026-05-18T02:50:12.275581+00:00"}