{"id": "card_chain_hopf_1951", "kind": "reference", "title": "Hopf 1951 — Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen", "body": "E. Hopf (1951). Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Math. Nachr. 4 (1951) 213–231. DOI 10.1002/mana.3210040121. Canonical: https://doi.org/10.1002/mana.3210040121. Cited by its record. License as found: Wiley terms and conditions — publisher's copyright, cited. What it gave the chain: weak solutions for all time on a bounded domain - Leray's theorem carried to domains.", "source": {"label": "E. Hopf (1951), Math. Nachr. 4 (1951) 213–231", "url": "https://doi.org/10.1002/mana.3210040121", "domain": "mathematics", "authority_tier": "reference"}, "shelf": "codex", "box": "chain", "bands": ["chain", "record", "1951", "hopf", "mathematics"], "subject": "Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen", "connections": [{"to_card_id": "card_src_mill_leray_1934", "relationship": "builds_on", "evidence": "weak solutions for all time on a bounded domain - Leray's theorem carried to domains"}, {"to_card_id": "card_src_mill_ladyzhenskaya_1959", "relationship": "enables", "evidence": "a later work standing on an earlier one"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.chain", "facets": {"subject": ["1951", "hopf", "mathematics", "record"]}, "presentation": {"glyph": "•", "kind_label": "chain", "by": "E. Hopf (1951), Math. Nachr. 4 (1951) 213–231", "authority": "reference", "posted": "", "standing": "", "link": {"url": "https://doi.org/10.1002/mana.3210040121", "host": "doi.org", "provider": "", "titled": "Hopf 1951 — Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen", "waybill_line": "", "reach": "", "embed": ""}}, "neighbors": [{"id": "card_src_mill_leray_1934", "title": "J. Leray 1934 — Sur le mouvement d'un liquide visqueux emplissant l'espace", "relationship": "builds on", "why": "weak solutions for all time on a bounded domain - Leray's theorem carried to domains", "href": "/card/card_src_mill_leray_1934", "resolved": true}, {"id": "card_src_mill_ladyzhenskaya_1959", "title": "O. A. Ladyzhenskaya 1959 — Solution 'in the large' of the nonstationary boundary value problem for the Navier-Stokes system with two space variables", "relationship": "enables", "why": "a later work standing on an earlier one", "href": "/card/card_src_mill_ladyzhenskaya_1959", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_chain_hopf_1951", "next_step": {"do": "read the source itself", "door": "FIND", "web": "/reader.html?card=card_chain_hopf_1951"}, "ends": "a verdict or a card · the trail · a seal · one next step"}}