{"id":"https://openalex.org/W3201346542","doi":"https://doi.org/10.1137/22m1525983","title":"Dissipative Measure-Valued Solutions to the Euler\u2013Poisson Equation","display_name":"Dissipative Measure-Valued Solutions to the Euler\u2013Poisson Equation","publication_year":2024,"publication_date":"2024-01-08","ids":{"openalex":"https://openalex.org/W3201346542","doi":"https://doi.org/10.1137/22m1525983","mag":"3201346542"},"language":"en","primary_location":{"id":"doi:10.1137/22m1525983","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1525983","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":"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/A5022412709","display_name":"Jos\u00e9 A. Carrillo","orcid":"https://orcid.org/0000-0001-8819-4660"},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 A. Carrillo","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, OX2 66G, UK"],"raw_orcid":"https://orcid.org/0000-0001-8819-4660","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, OX2 66G, UK","institution_ids":["https://openalex.org/I4210120676"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020046025","display_name":"Tomasz D\u0119biec","orcid":"https://orcid.org/0009-0006-9293-766X"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tomasz D\u0119biec","raw_affiliation_strings":["Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017297779","display_name":"Piotr Gwiazda","orcid":"https://orcid.org/0000-0002-6636-1111"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Gwiazda","raw_affiliation_strings":["Institute of Mathematics, Polish Academy of Sciences, \u015aniadeckich 8, 00-656 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Polish Academy of Sciences, \u015aniadeckich 8, 00-656 Warsaw, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210137370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054499670","display_name":"Agnieszka \u015awierczewska-Gwiazda","orcid":"https://orcid.org/0000-0001-8033-5078"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Agnieszka \u015awierczewska-Gwiazda","raw_affiliation_strings":["Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland"],"raw_orcid":"https://orcid.org/0000-0001-8033-5078","affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022412709"],"corresponding_institution_ids":["https://openalex.org/I4210120676"],"apc_list":null,"apc_paid":null,"fwci":6.557,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.96860347,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"56","issue":"1","first_page":"304","last_page":"335"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9718999862670898,"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/measure","display_name":"Measure (data warehouse)","score":0.8098122477531433},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7750253677368164},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6912500858306885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6442416906356812},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5417329668998718},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5403649210929871},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5376793742179871},{"id":"https://openalex.org/keywords/weak-solution","display_name":"Weak solution","score":0.5366650819778442},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.5137163400650024},{"id":"https://openalex.org/keywords/geodetic-datum","display_name":"Geodetic datum","score":0.4930085837841034},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.41931307315826416},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34144800901412964},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20807409286499023},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08725723624229431},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0738079845905304},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06830111145973206}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8098122477531433},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7750253677368164},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6912500858306885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6442416906356812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5417329668998718},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5403649210929871},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5376793742179871},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.5366650819778442},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5137163400650024},{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.4930085837841034},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.41931307315826416},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34144800901412964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20807409286499023},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08725723624229431},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0738079845905304},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06830111145973206},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1525983","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1525983","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:ora.ox.ac.uk:uuid:a50f8cdb-98dc-40d9-9942-8cf33880fcfc","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:a50f8cdb-98dc-40d9-9942-8cf33880fcfc","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8700000047683716}],"awards":[{"id":"https://openalex.org/G1257954173","display_name":null,"funder_award_id":"EP/P031587/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4787172370","display_name":"Nonlocal Partial Differential Equations: entropies, gradient flows, phase transitions and applications","funder_award_id":"EP/P031587/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5282983359","display_name":null,"funder_award_id":"883363","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G6860964818","display_name":null,"funder_award_id":"EP/V051121/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1482888786","https://openalex.org/W1512048500","https://openalex.org/W1556809071","https://openalex.org/W1572225368","https://openalex.org/W1639449914","https://openalex.org/W1964672341","https://openalex.org/W1994710706","https://openalex.org/W1994930222","https://openalex.org/W2009706884","https://openalex.org/W2011818561","https://openalex.org/W2022847659","https://openalex.org/W2067258650","https://openalex.org/W2069241221","https://openalex.org/W2077349827","https://openalex.org/W2107313037","https://openalex.org/W2129823023","https://openalex.org/W2172156008","https://openalex.org/W2205510167","https://openalex.org/W2271523952","https://openalex.org/W2328803698","https://openalex.org/W2333735137","https://openalex.org/W2345531252","https://openalex.org/W2516151186","https://openalex.org/W2777867605","https://openalex.org/W2963098584","https://openalex.org/W2964041324","https://openalex.org/W2964187892","https://openalex.org/W2964821384","https://openalex.org/W2990359602","https://openalex.org/W3046252327","https://openalex.org/W3087780923","https://openalex.org/W3103123825","https://openalex.org/W3105061365","https://openalex.org/W3105211265","https://openalex.org/W3106252502","https://openalex.org/W3123564372","https://openalex.org/W3167854512","https://openalex.org/W4229588332"],"related_works":["https://openalex.org/W1674877062","https://openalex.org/W2563697776","https://openalex.org/W2931831557","https://openalex.org/W4297915718","https://openalex.org/W2388608635","https://openalex.org/W3124634719","https://openalex.org/W3084635388","https://openalex.org/W4389115884","https://openalex.org/W2014571701","https://openalex.org/W4288794056"],"abstract_inverted_index":{"&lt;p&gt;We":[0],"consider":[1],"several":[2],"pressureless":[3],"variants":[4],"of":[5,28,52],"the":[6,50,68],"compressible":[7],"Euler":[8],"equation":[9],"driven":[10],"by":[11,37],"nonlocal":[12],"repulsionattraction":[13],"and":[14],"alignment":[15],"forces":[16],"with":[17,43],"Poisson":[18],"interaction.":[19],"Under":[20],"an":[21],"energy":[22,55],"admissibility":[23],"criterion,":[24],"we":[25],"prove":[26],"existence":[27],"global":[29],"measure-valued":[30,60],"solutions,":[31],"i.e.,":[32],"very":[33],"weak":[34],"solutions":[35],"described":[36],"a":[38,53,59,63,75],"classical":[39],"Young":[40],"measure":[41],"together":[42],"appropriate":[44],"concentration":[45],"defects.":[46],"We":[47],"then":[48],"investigate":[49],"evolution":[51],"relative":[54],"functional":[56],"to":[57,62,74],"compare":[58],"solution":[61,65],"regular":[64],"emanating":[66],"from":[67],"same":[69],"initial":[70],"datum.":[71],"This":[72],"leads":[73],"(partial)":[76],"weak-strong":[77],"uniqueness":[78],"principle.&lt;/p&gt;":[79]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
