{"id":"https://openalex.org/W3169548486","doi":"https://doi.org/10.1137/20m1378910","title":"Strong Lagrangian Solutions of the (Relativistic) Vlasov--Poisson System for NonSmooth, Spherically Symmetric Data","display_name":"Strong Lagrangian Solutions of the (Relativistic) Vlasov--Poisson System for NonSmooth, Spherically Symmetric Data","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3169548486","doi":"https://doi.org/10.1137/20m1378910","mag":"3169548486"},"language":"en","primary_location":{"id":"doi:10.1137/20m1378910","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1378910","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2106.08065","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091335982","display_name":"Jacob K\u00f6rner","orcid":"https://orcid.org/0000-0002-3881-9041"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jacob K\u00f6rner","raw_affiliation_strings":["University of Wurzburg#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wurzburg#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056733786","display_name":"Gerhard Rein","orcid":"https://orcid.org/0000-0003-0028-3963"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerhard Rein","raw_affiliation_strings":["University of Bayreuth"],"affiliations":[{"raw_affiliation_string":"University of Bayreuth","institution_ids":["https://openalex.org/I54009628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091335982"],"corresponding_institution_ids":["https://openalex.org/I25974101"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11934644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"4","first_page":"4985","last_page":"4996"},"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994000196456909,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.8832371830940247},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7701051235198975},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.6304183006286621},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5296694040298462},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49023348093032837},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4664081633090973},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.46274784207344055},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.46115824580192566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4310990273952484},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.41121017932891846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35262903571128845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07627484202384949}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.8832371830940247},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7701051235198975},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.6304183006286621},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5296694040298462},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49023348093032837},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4664081633090973},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.46274784207344055},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.46115824580192566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4310990273952484},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.41121017932891846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35262903571128845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07627484202384949},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/20m1378910","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1378910","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2106.08065","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.08065","pdf_url":"https://arxiv.org/pdf/2106.08065","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3169548486","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2106.08065.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:eref.uni-bayreuth.de:67927","is_oa":false,"landing_page_url":"https://eref.uni-bayreuth.de/67927/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel in einer Zeitschrift"},{"id":"doi:10.48550/arxiv.2106.08065","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2106.08065","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2106.08065","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.08065","pdf_url":"https://arxiv.org/pdf/2106.08065","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1970440531","https://openalex.org/W1982572332","https://openalex.org/W1990499542","https://openalex.org/W1994222474","https://openalex.org/W2003447939","https://openalex.org/W2033289485","https://openalex.org/W2054417935","https://openalex.org/W2058064139","https://openalex.org/W2063812633","https://openalex.org/W2068039185","https://openalex.org/W2082133287","https://openalex.org/W2085703947","https://openalex.org/W2095414865","https://openalex.org/W2171163936","https://openalex.org/W2276671314","https://openalex.org/W2473579781","https://openalex.org/W2614221519","https://openalex.org/W2964345252","https://openalex.org/W3100554826","https://openalex.org/W3101630345","https://openalex.org/W3141151088","https://openalex.org/W4255133034"],"related_works":["https://openalex.org/W2970608455","https://openalex.org/W3101918917","https://openalex.org/W2058064139","https://openalex.org/W2152258934","https://openalex.org/W3099739046","https://openalex.org/W2998978967","https://openalex.org/W2952419589","https://openalex.org/W3100554826","https://openalex.org/W3104785168","https://openalex.org/W3014308969","https://openalex.org/W3106411809","https://openalex.org/W2129501353","https://openalex.org/W2162295795","https://openalex.org/W1968967518","https://openalex.org/W3101670203","https://openalex.org/W2778068013","https://openalex.org/W1995955387","https://openalex.org/W2950330993","https://openalex.org/W2166635030","https://openalex.org/W3103892372"],"abstract_inverted_index":{"We":[0],"prove":[1],"a":[2],"local":[3],"existence":[4],"and":[5,11,32,63],"uniqueness":[6],"result":[7],"for":[8,15,47],"the":[9,28,48,59,67,75],"non-relativistic":[10,68],"relativistic":[12],"Vlasov-Poisson":[13],"system":[14],"data":[16,76],"which":[17],"need":[18],"not":[19,52],"even":[20],"be":[21,80],"continuous.":[22],"The":[23,70],"corresponding":[24],"solutions":[25,44],"preserve":[26],"all":[27],"standard":[29],"conserved":[30],"quantities":[31],"are":[33,45,64],"constant":[34],"along":[35],"their":[36],"pointwise":[37],"defined":[38],"characteristic":[39],"flow":[40],"so":[41],"that":[42,78],"these":[43],"suitable":[46],"stability":[49],"analysis":[50],"of":[51],"necessarily":[53],"smooth":[54],"steady":[55],"states.":[56],"They":[57],"satisfy":[58],"well-known":[60],"continuation":[61],"criterion":[62],"global":[65],"in":[66],"case.":[69],"only":[71],"unwanted":[72],"requirement":[73],"on":[74],"is":[77],"they":[79],"spherically":[81],"symmetric.":[82]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}