{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:N7SVES4CRIDPWXSHC6FZGUCMPX","short_pith_number":"pith:N7SVES4C","schema_version":"1.0","canonical_sha256":"6fe5524b828a06fb5e47178b93504c7dd4e0713123f68495114b8b64dd75100a","source":{"kind":"arxiv","id":"0805.3333","version":1},"attestation_state":"computed","paper":{"title":"Existence and stability of noncharacteristic boundary-layers for the compressible Navier-Stokes and viscous MHD equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guy Metivier, Kevin Zumbrun, Mark Williams, Olivier Gues","submitted_at":"2008-05-21T19:09:40Z","abstract_excerpt":"For a general class of hyperbolic-parabolic systems including the compressible Navier-Stokes and compressible MHD equations, we prove existence and stability of noncharacteristic viscous boundary layers for a variety of boundary conditions including classical Navier-Stokes boundary conditions. Our first main result, using the abstract framework established by the authors in the companion work \\cite{GMWZ6}, is to show that existence and stability of arbitrary amplitude exact boundary-layer solutions follow from a uniform spectral stability condition on layer profiles that is expressible in term"},"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":"0805.3333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-05-21T19:09:40Z","cross_cats_sorted":[],"title_canon_sha256":"45b70e064d372b532e67623cc90afa52d3f935a20c8cad29bde73e201e45b183","abstract_canon_sha256":"6f91a00315773d970828ff78540917524f037c59ac03bc77e0ff167e71f69a66"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:52.519674Z","signature_b64":"E7fDNYxVk8PyWOH4xaWlb/P3v648TTdFnW5t0DsMH2JxotUDiVQT7Z8Ppg0Mhuv8RgnJ/FdjyW/s36OeUaagAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fe5524b828a06fb5e47178b93504c7dd4e0713123f68495114b8b64dd75100a","last_reissued_at":"2026-05-18T02:15:52.519218Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:52.519218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence and stability of noncharacteristic boundary-layers for the compressible Navier-Stokes and viscous MHD equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guy Metivier, Kevin Zumbrun, Mark Williams, Olivier Gues","submitted_at":"2008-05-21T19:09:40Z","abstract_excerpt":"For a general class of hyperbolic-parabolic systems including the compressible Navier-Stokes and compressible MHD equations, we prove existence and stability of noncharacteristic viscous boundary layers for a variety of boundary conditions including classical Navier-Stokes boundary conditions. Our first main result, using the abstract framework established by the authors in the companion work \\cite{GMWZ6}, is to show that existence and stability of arbitrary amplitude exact boundary-layer solutions follow from a uniform spectral stability condition on layer profiles that is expressible in term"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.3333","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":"0805.3333","created_at":"2026-05-18T02:15:52.519276+00:00"},{"alias_kind":"arxiv_version","alias_value":"0805.3333v1","created_at":"2026-05-18T02:15:52.519276+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.3333","created_at":"2026-05-18T02:15:52.519276+00:00"},{"alias_kind":"pith_short_12","alias_value":"N7SVES4CRIDP","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"N7SVES4CRIDPWXSH","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"N7SVES4C","created_at":"2026-05-18T12:25:57.157939+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/N7SVES4CRIDPWXSHC6FZGUCMPX","json":"https://pith.science/pith/N7SVES4CRIDPWXSHC6FZGUCMPX.json","graph_json":"https://pith.science/api/pith-number/N7SVES4CRIDPWXSHC6FZGUCMPX/graph.json","events_json":"https://pith.science/api/pith-number/N7SVES4CRIDPWXSHC6FZGUCMPX/events.json","paper":"https://pith.science/paper/N7SVES4C"},"agent_actions":{"view_html":"https://pith.science/pith/N7SVES4CRIDPWXSHC6FZGUCMPX","download_json":"https://pith.science/pith/N7SVES4CRIDPWXSHC6FZGUCMPX.json","view_paper":"https://pith.science/paper/N7SVES4C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0805.3333&json=true","fetch_graph":"https://pith.science/api/pith-number/N7SVES4CRIDPWXSHC6FZGUCMPX/graph.json","fetch_events":"https://pith.science/api/pith-number/N7SVES4CRIDPWXSHC6FZGUCMPX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N7SVES4CRIDPWXSHC6FZGUCMPX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N7SVES4CRIDPWXSHC6FZGUCMPX/action/storage_attestation","attest_author":"https://pith.science/pith/N7SVES4CRIDPWXSHC6FZGUCMPX/action/author_attestation","sign_citation":"https://pith.science/pith/N7SVES4CRIDPWXSHC6FZGUCMPX/action/citation_signature","submit_replication":"https://pith.science/pith/N7SVES4CRIDPWXSHC6FZGUCMPX/action/replication_record"}},"created_at":"2026-05-18T02:15:52.519276+00:00","updated_at":"2026-05-18T02:15:52.519276+00:00"}