{"id":"https://openalex.org/W4392355268","doi":"https://doi.org/10.1137/23m1574567","title":"Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen\u2013Leslie Model","display_name":"Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen\u2013Leslie Model","publication_year":2024,"publication_date":"2024-03-01","ids":{"openalex":"https://openalex.org/W4392355268","doi":"https://doi.org/10.1137/23m1574567"},"language":"en","primary_location":{"id":"doi:10.1137/23m1574567","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1574567","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/A5100452895","display_name":"Geng Chen","orcid":"https://orcid.org/0000-0002-9272-9020"},"institutions":[{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Geng Chen","raw_affiliation_strings":["Department of Mathematics, University of Kansas, Lawrence, KS 66045 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kansas, Lawrence, KS 66045 USA","institution_ids":["https://openalex.org/I146416000"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082759592","display_name":"Yanbo Hu","orcid":"https://orcid.org/0000-0001-7296-5555"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanbo Hu","raw_affiliation_strings":["Corresponding author. Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou, 310023, People\u2019s Republic of China; School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou, 310023, People\u2019s Republic of China; School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, People\u2019s Republic of China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101906372","display_name":"Qingtian Zhang","orcid":"https://orcid.org/0000-0001-5911-684X"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qingtian Zhang","raw_affiliation_strings":["Department of Mathematics, West Virginia University, Morgantown, WV 26501 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV 26501 USA","institution_ids":["https://openalex.org/I12097938"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.901,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65933893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"56","issue":"2","first_page":"1809","last_page":"1850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9983000159263611,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9908999800682068,"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hagen\u2013poiseuille-equation","display_name":"Hagen\u2013Poiseuille equation","score":0.9192415475845337},{"id":"https://openalex.org/keywords/liquid-crystal","display_name":"Liquid crystal","score":0.802450954914093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7060596346855164},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6217021942138672},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5959700345993042},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4958899915218353},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3403768539428711},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3186766505241394},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21390238404273987},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.14781531691551208}],"concepts":[{"id":"https://openalex.org/C175336444","wikidata":"https://www.wikidata.org/wiki/Q869854","display_name":"Hagen\u2013Poiseuille equation","level":3,"score":0.9192415475845337},{"id":"https://openalex.org/C13274807","wikidata":"https://www.wikidata.org/wiki/Q203989","display_name":"Liquid crystal","level":2,"score":0.802450954914093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7060596346855164},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6217021942138672},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5959700345993042},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4958899915218353},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3403768539428711},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3186766505241394},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21390238404273987},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.14781531691551208}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1574567","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1574567","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G391286240","display_name":null,"funder_award_id":"12171130","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5097816128","display_name":null,"funder_award_id":"DMS-2008504","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5594291468","display_name":null,"funder_award_id":"12071106","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W130947653","https://openalex.org/W1662870435","https://openalex.org/W1986854500","https://openalex.org/W2002646315","https://openalex.org/W2018650804","https://openalex.org/W2027089303","https://openalex.org/W2039925534","https://openalex.org/W2047996264","https://openalex.org/W2055449032","https://openalex.org/W2065357863","https://openalex.org/W2078697072","https://openalex.org/W2080730083","https://openalex.org/W2090319190","https://openalex.org/W2094777373","https://openalex.org/W2095014084","https://openalex.org/W2109741035","https://openalex.org/W2135701176","https://openalex.org/W2150824042","https://openalex.org/W2154165287","https://openalex.org/W2233872213","https://openalex.org/W2256242268","https://openalex.org/W2321134557","https://openalex.org/W2738359310","https://openalex.org/W2799812737","https://openalex.org/W2887889406","https://openalex.org/W2905230041","https://openalex.org/W2951021234","https://openalex.org/W2962718295","https://openalex.org/W2963582917","https://openalex.org/W2964033393","https://openalex.org/W3011025206","https://openalex.org/W3089671519","https://openalex.org/W3139527406","https://openalex.org/W3158148806","https://openalex.org/W3207692705","https://openalex.org/W4288639075"],"related_works":["https://openalex.org/W2466027632","https://openalex.org/W2963859373","https://openalex.org/W2087278990","https://openalex.org/W97767509","https://openalex.org/W2069570482","https://openalex.org/W2080612831","https://openalex.org/W2316823100","https://openalex.org/W1992847497","https://openalex.org/W2135852481","https://openalex.org/W3212206768"],"abstract_inverted_index":{".In":[0],"this":[1,52],"paper,":[2],"we":[3],"study":[4],"the":[5,10,33,47,49,61],"initial-boundary":[6,75],"value":[7,76,87],"problem":[8],"for":[9,74],"Poiseuille":[11],"flow":[12],"of":[13,18,51,64,81],"a":[14,28,65],"hyperbolic-parabolic":[15],"Ericksen\u2013Leslie":[16],"model":[17,53],"nematic":[19],"liquid":[20],"crystals":[21],"in":[22,54],"one":[23],"space":[24],"dimension.":[25],"We":[26,59],"consider":[27],"simplified":[29],"system":[30],"by":[31],"restricting":[32],"Leslie":[34],"coefficients":[35],"to":[36,46],"special":[37],"cases":[38],"such":[39],"that":[40],"some":[41],"quantities":[42],"are":[43],"constants.":[44],"Due":[45],"quasilinearity,":[48],"solution":[50],"general":[55],"forms":[56],"cusp":[57,72],"singularity.":[58],"prove":[60],"global":[62],"existence":[63],"H\u00f6lder":[66],"continuous":[67],"solution,":[68],"which":[69],"may":[70],"include":[71],"singularity,":[73],"problems":[77],"with":[78],"different":[79],"types":[80],"boundary":[82],"conditions.Keywordsliquid":[83],"crystalEricksen\u2013LesliePoiseuille":[84],"flowglobal":[85],"existenceinitial-boundary":[86],"problemMSC":[88],"codes35M3335L5376D03":[89]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
