{"id":"https://openalex.org/W4409172838","doi":"https://doi.org/10.1137/24m1668809","title":"Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation","display_name":"Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation","publication_year":2025,"publication_date":"2025-04-04","ids":{"openalex":"https://openalex.org/W4409172838","doi":"https://doi.org/10.1137/24m1668809"},"language":"en","primary_location":{"id":"doi:10.1137/24m1668809","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1668809","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5111223882","display_name":"Jaemin Oh","orcid":"https://orcid.org/0000-0003-1648-8656"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jaemin Oh","raw_affiliation_strings":["Department of Electrical and Computer Engineering Texas A&M University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering Texas A&M University, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035691973","display_name":"Seung Yeon Cho","orcid":"https://orcid.org/0000-0002-6139-0925"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Seung Yeon Cho","raw_affiliation_strings":["Department of Mathematics, Gyeongsang National University, Jinju, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gyeongsang National University, Jinju, Republic of Korea","institution_ids":["https://openalex.org/I189442560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050827941","display_name":"Seok-Bae Yun","orcid":"https://orcid.org/0000-0001-9827-0639"},"institutions":[{"id":"https://openalex.org/I848706","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20","country_code":"KR","type":"education","lineage":["https://openalex.org/I848706"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Seok-Bae Yun","raw_affiliation_strings":["Department of Mathematics, Sungkyunkwan University, Suwon, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sungkyunkwan University, Suwon, Republic of Korea","institution_ids":["https://openalex.org/I848706"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013897558","display_name":"Eunbyung Park","orcid":"https://orcid.org/0000-0003-4071-2814"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eunbyung Park","raw_affiliation_strings":["Department of Artificial Intelligence, Yonsei University, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Artificial Intelligence, Yonsei University, Republic of Korea","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100999168","display_name":"Youngjoon Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Youngjoon Hong","raw_affiliation_strings":["Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Republic of Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5111223882"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.2802,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.96927429,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"47","issue":"2","first_page":"C451","last_page":"C474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9990000128746033,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.6486296057701111},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6164076328277588},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5451974868774414},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5316081047058105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4812881052494049},{"id":"https://openalex.org/keywords/lattice-boltzmann-methods","display_name":"Lattice Boltzmann methods","score":0.4529581665992737},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3669778108596802},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3197435736656189},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24280422925949097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2112124264240265},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16528919339179993},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12687242031097412},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10619205236434937}],"concepts":[{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.6486296057701111},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6164076328277588},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5451974868774414},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5316081047058105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4812881052494049},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.4529581665992737},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3669778108596802},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3197435736656189},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24280422925949097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2112124264240265},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16528919339179993},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12687242031097412},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10619205236434937}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1668809","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1668809","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4890773971","display_name":null,"funder_award_id":"RS-2023-NR076676","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W70668290","https://openalex.org/W232802423","https://openalex.org/W1530546941","https://openalex.org/W1565774502","https://openalex.org/W1974987146","https://openalex.org/W1978434425","https://openalex.org/W1979614071","https://openalex.org/W1998759078","https://openalex.org/W2032827682","https://openalex.org/W2043953726","https://openalex.org/W2046899724","https://openalex.org/W2051358691","https://openalex.org/W2066060292","https://openalex.org/W2079218650","https://openalex.org/W2086026333","https://openalex.org/W2103496339","https://openalex.org/W2155292091","https://openalex.org/W2202346438","https://openalex.org/W2258054274","https://openalex.org/W2610542513","https://openalex.org/W2892374370","https://openalex.org/W2899283552","https://openalex.org/W2958706811","https://openalex.org/W2963068646","https://openalex.org/W2982798447","https://openalex.org/W3045484641","https://openalex.org/W3051714653","https://openalex.org/W3128157635","https://openalex.org/W3197818013","https://openalex.org/W4292136514","https://openalex.org/W4292940405","https://openalex.org/W4321766500","https://openalex.org/W4381893024","https://openalex.org/W4388997638","https://openalex.org/W4391141311","https://openalex.org/W4392437734","https://openalex.org/W4392649753","https://openalex.org/W4394978907","https://openalex.org/W4396690897","https://openalex.org/W4401517829"],"related_works":["https://openalex.org/W2009525028","https://openalex.org/W4321064619","https://openalex.org/W4406274549","https://openalex.org/W2095212749","https://openalex.org/W2471817263","https://openalex.org/W4312084186","https://openalex.org/W2091687378","https://openalex.org/W44857498","https://openalex.org/W2062900651","https://openalex.org/W1598035158"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}
