{"id":"https://openalex.org/W4408906348","doi":"https://doi.org/10.5802/crmeca.287","title":"The stability of Minkowski space and its influence on the mathematical analysis of General Relativity","display_name":"The stability of Minkowski space and its influence on the mathematical analysis of General Relativity","publication_year":2025,"publication_date":"2025-03-27","ids":{"openalex":"https://openalex.org/W4408906348","doi":"https://doi.org/10.5802/crmeca.287"},"language":"en","primary_location":{"id":"doi:10.5802/crmeca.287","doi":"https://doi.org/10.5802/crmeca.287","is_oa":true,"landing_page_url":"https://doi.org/10.5802/crmeca.287","pdf_url":null,"source":{"id":"https://openalex.org/S4210193431","display_name":"Comptes Rendus M\u00e9canique","issn_l":"1873-7234","issn":["1873-7234","1631-0721"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4404678052","host_organization_name":"Acad\u00e9mie des sciences","host_organization_lineage":["https://openalex.org/P4404678052"],"host_organization_lineage_names":["Acad\u00e9mie des sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Comptes Rendus. M\u00e9canique","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.5802/crmeca.287","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061726778","display_name":"Jacques Smulevici","orcid":"https://orcid.org/0000-0003-0671-4656","observed_orcids":["https://orcid.org/0000-0003-0671-4656"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I40434647","https://openalex.org/I4210124654","https://openalex.org/I4210141950","https://openalex.org/I4210158291","https://openalex.org/I48825208"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jacques Smulevici","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Universit\u00e9, CNRS and Institut Universitaire de France, France"],"raw_orcid":"https://orcid.org/0000-0003-0671-4656","affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Universit\u00e9, CNRS and Institut Universitaire de France, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I185839726","https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061726778"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I185839726","https://openalex.org/I39804081","https://openalex.org/I4210158291"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02577268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"353","issue":"G1","first_page":"519","last_page":"542"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.7803000211715698,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.7803000211715698,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.07540000230073929,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.05180000141263008,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/general-relativity","display_name":"general relativity","score":0.6600000262260437},{"id":"https://openalex.org/keywords/nonlinear-wave-equations","display_name":"nonlinear wave equations","score":0.625},{"id":"https://openalex.org/keywords/asymptotic-stability","display_name":"asymptotic stability","score":0.6620000004768372},{"id":"https://openalex.org/keywords/gravitational-waves","display_name":"gravitational waves","score":0.3160000145435333}],"concepts":[{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.8828870058059692},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.7433800101280212},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5153741240501404},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5028800368309021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4869788587093353},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.41406911611557007},{"id":"https://openalex.org/C23134205","wikidata":"https://www.wikidata.org/wiki/Q11455","display_name":"Special relativity","level":3,"score":0.4140194058418274},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3649258613586426},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.35124436020851135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26669958233833313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20493358373641968},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16764861345291138},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5802/crmeca.287","doi":"https://doi.org/10.5802/crmeca.287","is_oa":true,"landing_page_url":"https://doi.org/10.5802/crmeca.287","pdf_url":null,"source":{"id":"https://openalex.org/S4210193431","display_name":"Comptes Rendus M\u00e9canique","issn_l":"1873-7234","issn":["1873-7234","1631-0721"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4404678052","host_organization_name":"Acad\u00e9mie des sciences","host_organization_lineage":["https://openalex.org/P4404678052"],"host_organization_lineage_names":["Acad\u00e9mie des sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Comptes Rendus. M\u00e9canique","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9d072eef04e8425398de67b0c8004728","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/9d072eef04e8425398de67b0c8004728","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Comptes Rendus. M\u00e9canique, Vol 353, Iss G1, Pp 519-542 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.5802/crmeca.287","doi":"https://doi.org/10.5802/crmeca.287","is_oa":true,"landing_page_url":"https://doi.org/10.5802/crmeca.287","pdf_url":null,"source":{"id":"https://openalex.org/S4210193431","display_name":"Comptes Rendus M\u00e9canique","issn_l":"1873-7234","issn":["1873-7234","1631-0721"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4404678052","host_organization_name":"Acad\u00e9mie des sciences","host_organization_lineage":["https://openalex.org/P4404678052"],"host_organization_lineage_names":["Acad\u00e9mie des sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Comptes Rendus. M\u00e9canique","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":88,"referenced_works":["https://openalex.org/W572963257","https://openalex.org/W597730562","https://openalex.org/W1607490296","https://openalex.org/W1628532327","https://openalex.org/W1654258743","https://openalex.org/W1769697636","https://openalex.org/W1776952983","https://openalex.org/W1963733199","https://openalex.org/W1968281448","https://openalex.org/W1972312481","https://openalex.org/W1972640257","https://openalex.org/W1973377318","https://openalex.org/W1974833386","https://openalex.org/W1990162823","https://openalex.org/W1996114156","https://openalex.org/W1997422412","https://openalex.org/W1998168182","https://openalex.org/W2003113880","https://openalex.org/W2006387121","https://openalex.org/W2006574240","https://openalex.org/W2017825526","https://openalex.org/W2024611155","https://openalex.org/W2028845750","https://openalex.org/W2029599572","https://openalex.org/W2029910456","https://openalex.org/W2034172803","https://openalex.org/W2035054911","https://openalex.org/W2037622875","https://openalex.org/W2052306396","https://openalex.org/W2054381864","https://openalex.org/W2055247681","https://openalex.org/W2066811456","https://openalex.org/W2090670432","https://openalex.org/W2092594123","https://openalex.org/W2103138450","https://openalex.org/W2105973581","https://openalex.org/W2134017957","https://openalex.org/W2139435555","https://openalex.org/W2142347153","https://openalex.org/W2150477501","https://openalex.org/W2249319533","https://openalex.org/W2271132047","https://openalex.org/W2323874343","https://openalex.org/W2410265540","https://openalex.org/W2443707680","https://openalex.org/W2521013965","https://openalex.org/W2567531682","https://openalex.org/W2573028792","https://openalex.org/W2737050745","https://openalex.org/W2739098927","https://openalex.org/W2901731160","https://openalex.org/W2943994220","https://openalex.org/W2950241228","https://openalex.org/W2963178826","https://openalex.org/W2963795521","https://openalex.org/W2976329054","https://openalex.org/W2991425964","https://openalex.org/W3016233887","https://openalex.org/W3029176274","https://openalex.org/W3093820529","https://openalex.org/W3103664497","https://openalex.org/W3157368911","https://openalex.org/W3186616430","https://openalex.org/W3196789610","https://openalex.org/W3198691973","https://openalex.org/W3211726175","https://openalex.org/W4206107261","https://openalex.org/W4210395107","https://openalex.org/W4300037372","https://openalex.org/W4302011514","https://openalex.org/W4313443206","https://openalex.org/W4321012612","https://openalex.org/W4322717457","https://openalex.org/W4366730353","https://openalex.org/W4383499304","https://openalex.org/W4385336440","https://openalex.org/W4385436478","https://openalex.org/W4386997077","https://openalex.org/W4387596402","https://openalex.org/W4390863873","https://openalex.org/W4391272913","https://openalex.org/W4393905526","https://openalex.org/W4399011171","https://openalex.org/W4401388880","https://openalex.org/W4404788677","https://openalex.org/W6636027067","https://openalex.org/W6682360234","https://openalex.org/W7062022398"],"related_works":["https://openalex.org/W251458126","https://openalex.org/W4307418335","https://openalex.org/W3094055386","https://openalex.org/W4307525831","https://openalex.org/W198675296","https://openalex.org/W4244473955","https://openalex.org/W3216168510","https://openalex.org/W3104195087","https://openalex.org/W1558142159","https://openalex.org/W2345106391"],"abstract_inverted_index":{"The":[0],"study":[1],"of":[2,5,17,36,42,54],"the":[3,14,37,43,51],"stability":[4],"Minkowksi":[6],"space":[7],"has":[8],"had":[9],"a":[10,22],"tremendous":[11],"influence":[12],"on":[13,25,50],"mathematical":[15],"analysis":[16],"General":[18],"Relativity":[19],"and":[20,40],"in":[21],"wider":[23],"context,":[24,38],"geometric":[26],"hyperbolic":[27],"partial":[28],"differential":[29],"equations.":[30],"This":[31],"article":[32],"proposes":[33],"an":[34],"overview":[35],"ideas":[39],"part":[41],"legacy":[44],"surrounding":[45],"this":[46],"subject,":[47],"focusing":[48],"particularly":[49],"original":[52],"proof":[53],"Christodoulou\u2013Klainerman.":[55]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-03-28T00:00:00"}