{"id":"https://openalex.org/W2044940710","doi":"https://doi.org/10.1137/s0036139903432883","title":"Problems of Stationary Flow of Electrorheological Fluids in a Cylindrical Coordinate System","display_name":"Problems of Stationary Flow of Electrorheological Fluids in a Cylindrical Coordinate System","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2044940710","doi":"https://doi.org/10.1137/s0036139903432883","mag":"2044940710"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139903432883","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903432883","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/A5105206538","display_name":"Ronald H. W. Hoppe","orcid":"https://orcid.org/0000-0003-2287-6102"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. H. W. Hoppe","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053527567","display_name":"William G. Litvinov","orcid":null},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"W. G. Litvinov","raw_affiliation_strings":["University of Augsburg"],"affiliations":[{"raw_affiliation_string":"University of Augsburg","institution_ids":["https://openalex.org/I179225836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032186919","display_name":"Tawfikur Rahman","orcid":"https://orcid.org/0000-0002-0456-5143"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"T. Rahman","raw_affiliation_strings":["University of Bergen"],"affiliations":[{"raw_affiliation_string":"University of Bergen","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5105206538"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2219,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81881835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"65","issue":"5","first_page":"1633","last_page":"1656"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T13619","display_name":"Geotechnical and Geomechanical Engineering","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9829999804496765,"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/electrorheological-fluid","display_name":"Electrorheological fluid","score":0.7746080160140991},{"id":"https://openalex.org/keywords/axial-symmetry","display_name":"Axial symmetry","score":0.6644731163978577},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.6528100967407227},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5792446732521057},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5433661341667175},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5202123522758484},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5029341578483582},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47703880071640015},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4508058428764343},{"id":"https://openalex.org/keywords/electric-field","display_name":"Electric field","score":0.44753387570381165},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.43816083669662476},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4317505359649658},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.430151104927063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42465710639953613},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4228225350379944},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22630858421325684},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10266610980033875},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.09436604380607605}],"concepts":[{"id":"https://openalex.org/C161987422","wikidata":"https://www.wikidata.org/wiki/Q1327550","display_name":"Electrorheological fluid","level":3,"score":0.7746080160140991},{"id":"https://openalex.org/C35377427","wikidata":"https://www.wikidata.org/wiki/Q3886264","display_name":"Axial symmetry","level":2,"score":0.6644731163978577},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.6528100967407227},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5792446732521057},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5433661341667175},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5202123522758484},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5029341578483582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47703880071640015},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4508058428764343},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.44753387570381165},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.43816083669662476},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4317505359649658},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.430151104927063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42465710639953613},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4228225350379944},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22630858421325684},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10266610980033875},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.09436604380607605},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s0036139903432883","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903432883","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.144.3351","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.3351","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ii.uib.no/~talal/html/papers/pdf/SIAP_Hoppe_Litvinov_Rahman_ERF_Clutch.pdf","raw_type":"text"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:34917","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/34917","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:50127","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/50127","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W134646787","https://openalex.org/W636408241","https://openalex.org/W2010872619","https://openalex.org/W2055256274","https://openalex.org/W2066171241","https://openalex.org/W2068425198","https://openalex.org/W2074242970","https://openalex.org/W2091229351","https://openalex.org/W2101743932","https://openalex.org/W2129038989","https://openalex.org/W2138715797","https://openalex.org/W2332339066","https://openalex.org/W2903567145","https://openalex.org/W3022297397","https://openalex.org/W3091814460"],"related_works":["https://openalex.org/W4385491145","https://openalex.org/W120984554","https://openalex.org/W1554885640","https://openalex.org/W2053604103","https://openalex.org/W2349021974","https://openalex.org/W8641448","https://openalex.org/W1999169639","https://openalex.org/W1966246071","https://openalex.org/W2391388387","https://openalex.org/W2032476026"],"abstract_inverted_index":{"We":[0],"consider":[1,84],"the":[2,9,13,35,55,63,75,85,88,107,112],"general":[3],"problem":[4,40,73,96,102],"on":[5,51,62,97],"stationary":[6],"flow":[7,89],"of":[8,54,68,77,109,111],"electrorheological":[10,99],"fluid":[11],"with":[12],"constitutive":[14],"equation":[15],"developed":[16],"in":[17,34],"[R.":[18],"H.":[19],"W.":[20,23],"Hoppe":[21],"and":[22,57,74,93,106,115],"G.":[24],"Litvinov,":[25],"Comm.":[26],"Pure.":[27],"Appl.":[28],"Anal.,":[29],"3":[30],"(2004),":[31],"pp.":[32],"809--848]":[33],"cylindrical":[36],"coordinate":[37],"system.":[38],"The":[39,66],"is":[41,90,103],"studied":[42],"under":[43],"mixed":[44],"boundary":[45,56],"conditions":[46],"wherein":[47],"velocities":[48,116],"are":[49,60,80,117],"specified":[50],"one":[52],"part":[53],"surface":[58],"forces":[59],"given":[61],"other":[64],"part.":[65],"existence":[67],"a":[69,95],"solution":[70],"to":[71],"this":[72],"convergence":[76],"Galerkin":[78],"approximations":[79],"established.":[81],"Then,":[82],"we":[83],"occasion":[86],"where":[87],"axially":[91],"symmetric":[92],"study":[94],"an":[98],"clutch.":[100],"This":[101],"solved":[104],"numerically,":[105],"results":[108],"calculations":[110],"electric":[113],"field":[114],"presented.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}