{"id":"https://openalex.org/W1532349843","doi":"https://doi.org/10.3233/asy-2009-0939","title":"Stationary solutions for the one-dimensional Nordstr\u00f6m\u2013Vlasov system","display_name":"Stationary solutions for the one-dimensional Nordstr\u00f6m\u2013Vlasov system","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W1532349843","doi":"https://doi.org/10.3233/asy-2009-0939","mag":"1532349843"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2009-0939","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2009-0939","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091073492","display_name":"Miha\u00ef Bostan","orcid":null},"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/I4387152972","display_name":"Laboratoire de Math\u00e9matiques de Besan\u00e7on","ror":"https://ror.org/04nrhwg12","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387152972","https://openalex.org/I4405256580"]},{"id":"https://openalex.org/I90843659","display_name":"Universit\u00e9 de franche-comt\u00e9","ror":"https://ror.org/03pcc9z86","country_code":"FR","type":"education","lineage":["https://openalex.org/I90843659"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Mihai Bostan","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de Besan\u00e7on, UMR CNRS 6623, Universit\u00e9 de Franche-Comt\u00e9, 16 route de Gray, 25030 Besan\u00e7on Cedex, France. Tel.: +33 381 666338; Fax: +33 381 666623; E-mail: mbostan@univ-fcomte.fr","LMB - Laboratoire de Math\u00e9matiques de Besan\u00e7on (UMR 6623) (UFR Sciences et techniques 16 route de Gray 25 030 Besan\u00e7on cedex - France)","CALVI - Scientific computation and visualization (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Besan\u00e7on, UMR CNRS 6623, Universit\u00e9 de Franche-Comt\u00e9, 16 route de Gray, 25030 Besan\u00e7on Cedex, France. Tel.: +33 381 666338; Fax: +33 381 666623; E-mail: mbostan@univ-fcomte.fr","institution_ids":["https://openalex.org/I90843659","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LMB - Laboratoire de Math\u00e9matiques de Besan\u00e7on (UMR 6623) (UFR Sciences et techniques 16 route de Gray 25 030 Besan\u00e7on cedex - France)","institution_ids":["https://openalex.org/I4387152972"]},{"raw_affiliation_string":"CALVI - Scientific computation and visualization (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091073492"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4387152972","https://openalex.org/I90843659"],"apc_list":null,"apc_paid":null,"fwci":0.379,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53187985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"64","issue":"3-4","first_page":"155","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9966999888420105,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.98580002784729,"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/vlasov-equation","display_name":"Vlasov equation","score":0.7114845514297485},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7019102573394775},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6569114923477173},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.42626211047172546},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3884941041469574},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.38704463839530945},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.3830326199531555},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32979992032051086},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22784626483917236},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1155274510383606},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10601216554641724}],"concepts":[{"id":"https://openalex.org/C186175660","wikidata":"https://www.wikidata.org/wiki/Q2323892","display_name":"Vlasov equation","level":3,"score":0.7114845514297485},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7019102573394775},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6569114923477173},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42626211047172546},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3884941041469574},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.38704463839530945},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.3830326199531555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32979992032051086},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22784626483917236},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1155274510383606},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10601216554641724}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3233/asy-2009-0939","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2009-0939","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.144.7120","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.7120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.hyke.org/preprint/2006/02/026.ps","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00603742v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00603742","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Asymptotic Analysis, 2009, 64 (3-4), pp.155-183. ⟨10.3233/ASY-2009-0939⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W119765659","https://openalex.org/W1629255592","https://openalex.org/W1675922226","https://openalex.org/W1968796986","https://openalex.org/W1975704187","https://openalex.org/W1979579421","https://openalex.org/W1981441236","https://openalex.org/W1998367768","https://openalex.org/W2016438885","https://openalex.org/W2030052751","https://openalex.org/W2036155803","https://openalex.org/W2053804985","https://openalex.org/W2056446975","https://openalex.org/W2070289100","https://openalex.org/W2077185726","https://openalex.org/W2083683035","https://openalex.org/W2085040301","https://openalex.org/W2090526483","https://openalex.org/W2093960390","https://openalex.org/W2123142213","https://openalex.org/W2353584514","https://openalex.org/W3105590321"],"related_works":["https://openalex.org/W1999419498","https://openalex.org/W2952277533","https://openalex.org/W2942779105","https://openalex.org/W1987895267","https://openalex.org/W2078384667","https://openalex.org/W2350519135","https://openalex.org/W3210525041","https://openalex.org/W4251913342","https://openalex.org/W2314194268","https://openalex.org/W2390619334"],"abstract_inverted_index":{"The":[0],"Nordstr\u00f6m\u2013Vlasov":[1],"system":[2],"describes":[3],"the":[4,12,23],"evolution":[5],"of":[6,14,25],"self-gravitating":[7],"collisionless":[8],"particles.":[9],"We":[10,20],"prove":[11],"existence":[13],"stationary":[15],"solutions":[16],"in":[17],"one":[18],"dimension.":[19],"show":[21],"also":[22],"propagation":[24],"impulsion":[26],"moments":[27],"and":[28],"perform":[29],"an":[30],"asymptotic":[31],"analysis.":[32]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}