{"id":"https://openalex.org/W2047122434","doi":"https://doi.org/10.1137/s0036139998336249","title":"Liquid Crystal Flow: Dynamic and Static Configurations","display_name":"Liquid Crystal Flow: Dynamic and Static Configurations","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2047122434","doi":"https://doi.org/10.1137/s0036139998336249","mag":"2047122434"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139998336249","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998336249","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5003709575","display_name":"Chun Liu","orcid":"https://orcid.org/0000-0001-9319-1640"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Chun Liu","raw_affiliation_strings":["Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077426865","display_name":"M. Carme Calderer","orcid":"https://orcid.org/0000-0002-9117-7439"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Carme Calderer","raw_affiliation_strings":["Pennsylvania State Univ#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State Univ#TAB#","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003709575"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0649,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.74545613,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"6","first_page":"1925","last_page":"1949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9803000092506409,"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":0.8971347808837891},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.7186815738677979},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.717843770980835},{"id":"https://openalex.org/keywords/liquid-crystal","display_name":"Liquid crystal","score":0.6973943710327148},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.687142014503479},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5599400997161865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49393922090530396},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.46887683868408203},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4484279155731201},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4144187867641449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3596358001232147},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3463512659072876},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.33862584829330444},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2581225037574768},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.13965478539466858},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08662301301956177}],"concepts":[{"id":"https://openalex.org/C175336444","wikidata":"https://www.wikidata.org/wiki/Q869854","display_name":"Hagen\u2013Poiseuille equation","level":3,"score":0.8971347808837891},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.7186815738677979},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.717843770980835},{"id":"https://openalex.org/C13274807","wikidata":"https://www.wikidata.org/wiki/Q203989","display_name":"Liquid crystal","level":2,"score":0.6973943710327148},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.687142014503479},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5599400997161865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49393922090530396},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.46887683868408203},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4484279155731201},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4144187867641449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3596358001232147},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3463512659072876},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33862584829330444},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2581225037574768},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.13965478539466858},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08662301301956177},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139998336249","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998336249","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W130947653","https://openalex.org/W1968731434","https://openalex.org/W1987589999","https://openalex.org/W1990379748","https://openalex.org/W1991658076","https://openalex.org/W2001507319","https://openalex.org/W2039660077","https://openalex.org/W2039925534","https://openalex.org/W2045026956","https://openalex.org/W2049031884","https://openalex.org/W2063597366","https://openalex.org/W2067289457","https://openalex.org/W2076856999","https://openalex.org/W2087704619","https://openalex.org/W2090113159","https://openalex.org/W2129139870","https://openalex.org/W2589319639","https://openalex.org/W3145502894","https://openalex.org/W4301662505"],"related_works":["https://openalex.org/W2466027632","https://openalex.org/W2963859373","https://openalex.org/W2087278990","https://openalex.org/W2371200319","https://openalex.org/W2367609594","https://openalex.org/W97767509","https://openalex.org/W2350320737","https://openalex.org/W2069570482","https://openalex.org/W2078505619","https://openalex.org/W2051481594"],"abstract_inverted_index":{"We":[0,47],"consider":[1],"a":[2,49,79],"system":[3,54],"modeling":[4],"the":[5,17,26,37,40,44,53,59,75,86,91],"flow":[6,27],"of":[7,14,19,52,61,70,82,90],"nematic":[8],"liquid":[9],"crystals":[10],"with":[11,78],"variable":[12],"degrees":[13],"orientation.":[15],"Although":[16],"set":[18],"constitutive":[20],"equations":[21],"involves":[22],"many":[23],"different":[24],"parameters,":[25,35],"behavior":[28],"is":[29],"determined":[30],"mostly":[31],"by":[32],"three":[33],"nondimensional":[34],"i.e.,":[36],"Ericksen":[38,88],"number,":[39,42],"Reynolds":[41],"and":[43,68],"interface":[45],"number.":[46],"establish":[48],"dissipative":[50],"relation":[51],"in":[55],"general":[56],"domains.":[57],"In":[58],"case":[60],"plane":[62],"Poiseuille":[63],"flow,":[64],"we":[65,73],"prove":[66],"existence":[67],"regularity":[69],"solutions.":[71],"Moreover,":[72],"discuss":[74],"stationary":[76],"configurations":[77],"large":[80,87],"number":[81,89],"defects":[83],"due":[84],"to":[85],"flow.":[92]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}
