{"id":"https://openalex.org/W4416529214","doi":"https://doi.org/10.1137/25m1753401","title":"Derivation of Nonlinear Aggregation-Diffusion Equation from a Kinetic BGK-Type Equation","display_name":"Derivation of Nonlinear Aggregation-Diffusion Equation from a Kinetic BGK-Type Equation","publication_year":2026,"publication_date":"2026-04-09","ids":{"openalex":"https://openalex.org/W4416529214","doi":"https://doi.org/10.1137/25m1753401"},"language":"en","primary_location":{"id":"doi:10.1137/25m1753401","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1753401","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2504.05674","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103107879","display_name":"Young-Pil Choi","orcid":"https://orcid.org/0009-0004-9821-0942"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Young-Pil Choi","raw_affiliation_strings":["Department of Mathematics, Yonsei University, Seoul, 03722 Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yonsei University, Seoul, 03722 Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100396225","display_name":"Jeongho Kim","orcid":"https://orcid.org/0000-0002-5220-3139"},"institutions":[{"id":"https://openalex.org/I35928602","display_name":"Kyung Hee University","ror":"https://ror.org/01zqcg218","country_code":"KR","type":"education","lineage":["https://openalex.org/I35928602"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jeongho Kim","raw_affiliation_strings":["Department of Applied Mathematics, Kyung Hee University, 1732 Deogyeong-Daero, Giheung-gu, Yongin-si, Gyeonggi-do, 17104 Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Kyung Hee University, 1732 Deogyeong-Daero, Giheung-gu, Yongin-si, Gyeonggi-do, 17104 Republic of Korea","institution_ids":["https://openalex.org/I35928602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001491656","display_name":"Oliver Tse","orcid":"https://orcid.org/0000-0001-7577-3110"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Oliver Tse","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, the Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-7577-3110","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103107879"],"corresponding_institution_ids":["https://openalex.org/I193775966"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00934034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"2","first_page":"1613","last_page":"1652"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9725000262260437,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9725000262260437,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.003599999938160181,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6549999713897705},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6159999966621399},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5934000015258789},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5622000098228455},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.42500001192092896},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.42399999499320984},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.40400001406669617},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.3772999942302704}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6967999935150146},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6549999713897705},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6159999966621399},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5934000015258789},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5622000098228455},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5078999996185303},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4643000066280365},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.42500001192092896},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.42399999499320984},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.40400001406669617},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.3772999942302704},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.35659998655319214},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.34549999237060547},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.3151000142097473},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.314300000667572},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.31310001015663147},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2728999853134155},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.2671999931335449}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/25m1753401","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1753401","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:2504.05674","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.05674","pdf_url":"https://arxiv.org/pdf/2504.05674","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2504.05674","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2504.05674","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2504.05674","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.05674","pdf_url":"https://arxiv.org/pdf/2504.05674","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2949489606","display_name":null,"funder_award_id":"NGF.1582.22.009","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5880252890","display_name":null,"funder_award_id":"RS-2024-00406821","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G662451970","display_name":null,"funder_award_id":"22R1A2C1002820","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G7968599502","display_name":null,"funder_award_id":"680.92.18.05","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F5450473328","display_name":"Korea Institute for Advanced Study","ror":"https://ror.org/041hz9568"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416529214.pdf","grobid_xml":"https://content.openalex.org/works/W4416529214.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,21,78,83,90,100],"diffusion":[4,22],"limit":[5],"of":[6,104],"a":[7,16,24],"kinetic":[8,84],"BGK-type":[9],"equation,":[10,19],"focusing":[11],"on":[12],"its":[13],"relaxation":[14],"to":[15,98],"nonlinear":[17],"aggregation-diffusion":[18],"where":[20],"exhibits":[23],"porous-medium-type":[25],"nonlinearity.":[26],"Unlike":[27],"previous":[28],"studies":[29],"by":[30],"Dolbeault":[31],"et":[32],"al.":[33],"[Arch.":[34],"Ration.":[35],"Mech.":[36],"Anal.,":[37],"186,":[38],"(2007),":[39],"133-158]":[40],"and":[41,43,94,102],"Addala":[42],"Tayeb":[44],"[J.":[45],"Hyperbolic":[46],"Differ.":[47],"Equ.,":[48],"16,":[49],"(2019),":[50],"131-156],":[51],"which":[52],"required":[53],"bounded":[54],"initial":[55,60],"data,":[56],"our":[57],"work":[58],"considers":[59],"data":[61],"that":[62,76],"need":[63],"not":[64],"be":[65],"bounded.":[66],"We":[67],"develop":[68],"new":[69],"techniques":[70],"for":[71],"handling":[72],"weak":[73],"entropy":[74,85,92],"solutions":[75],"satisfy":[77],"natural":[79],"bounds":[80],"associated":[81],"with":[82],"inequality.":[86],"Our":[87],"proof":[88],"employs":[89],"relative":[91],"method":[93],"various":[95],"compactness":[96],"arguments":[97],"establish":[99],"convergence":[101],"properties":[103],"these":[105],"solutions.":[106]},"counts_by_year":[],"updated_date":"2026-04-11T06:13:24.991567","created_date":"2025-10-10T00:00:00"}