{"id":"https://openalex.org/W2070063374","doi":"https://doi.org/10.1137/130911299","title":"Weak Solutions for An Incompressible, Generalized Newtonian Fluid Interacting with a Linearly Elastic Koiter Type Shell","display_name":"Weak Solutions for An Incompressible, Generalized Newtonian Fluid Interacting with a Linearly Elastic Koiter Type Shell","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2070063374","doi":"https://doi.org/10.1137/130911299","mag":"2070063374"},"language":"en","primary_location":{"id":"doi:10.1137/130911299","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130911299","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/A5043506299","display_name":"Daniel Lengeler","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Daniel Lengeler","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5043506299"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.396,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.82006583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"46","issue":"4","first_page":"2614","last_page":"2649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9990000128746033,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9947999715805054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7783582210540771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7504072189331055},{"id":"https://openalex.org/keywords/shell","display_name":"Shell (structure)","score":0.7191140055656433},{"id":"https://openalex.org/keywords/newtonian-fluid","display_name":"Newtonian fluid","score":0.6604883074760437},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.5978610515594482},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5633341073989868},{"id":"https://openalex.org/keywords/non-newtonian-fluid","display_name":"Non-Newtonian fluid","score":0.5378837585449219},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5121481418609619},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.47271057963371277},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.42812272906303406},{"id":"https://openalex.org/keywords/generalized-newtonian-fluid","display_name":"Generalized Newtonian fluid","score":0.4255271255970001},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4176423251628876},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4175027012825012},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3421167731285095},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.3400176465511322},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.28923189640045166},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21822360157966614}],"concepts":[{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7783582210540771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7504072189331055},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.7191140055656433},{"id":"https://openalex.org/C294558","wikidata":"https://www.wikidata.org/wiki/Q366968","display_name":"Newtonian fluid","level":2,"score":0.6604883074760437},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.5978610515594482},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5633341073989868},{"id":"https://openalex.org/C84403224","wikidata":"https://www.wikidata.org/wiki/Q860589","display_name":"Non-Newtonian fluid","level":2,"score":0.5378837585449219},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5121481418609619},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.47271057963371277},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.42812272906303406},{"id":"https://openalex.org/C51336717","wikidata":"https://www.wikidata.org/wiki/Q5532445","display_name":"Generalized Newtonian fluid","level":4,"score":0.4255271255970001},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4176423251628876},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4175027012825012},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3421167731285095},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.3400176465511322},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.28923189640045166},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21822360157966614},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C165682214","wikidata":"https://www.wikidata.org/wiki/Q461293","display_name":"Shear rate","level":3,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130911299","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130911299","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:epub.uni-regensburg.de:61844","is_oa":false,"landing_page_url":"https://epub.uni-regensburg.de/61844/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1978411037","https://openalex.org/W2006471411","https://openalex.org/W2020340328","https://openalex.org/W2021169437","https://openalex.org/W2021762327","https://openalex.org/W2046346216","https://openalex.org/W2051035887","https://openalex.org/W2051896942","https://openalex.org/W2056712709","https://openalex.org/W2057189031","https://openalex.org/W2058800206","https://openalex.org/W2077197181","https://openalex.org/W2079357202","https://openalex.org/W2079516652","https://openalex.org/W2084768159","https://openalex.org/W2089060615","https://openalex.org/W2114516720","https://openalex.org/W2146785120","https://openalex.org/W2151435858","https://openalex.org/W2323869075","https://openalex.org/W2335104466","https://openalex.org/W2963486012"],"related_works":["https://openalex.org/W2726057547","https://openalex.org/W2885437529","https://openalex.org/W2042095902","https://openalex.org/W2324434119","https://openalex.org/W2091497446","https://openalex.org/W4310240031","https://openalex.org/W4225486950","https://openalex.org/W2055293444","https://openalex.org/W4388321978","https://openalex.org/W134010077"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"analyze":[4],"the":[5,30,33,37,50,53,65,68],"interaction":[6],"of":[7,29,36,52,67],"an":[8],"incompressible,":[9],"generalized":[10],"Newtonian":[11],"fluid":[12,39],"with":[13],"a":[14],"linearly":[15],"elastic":[16],"Koiter":[17],"shell":[18,31],"whose":[19],"motion":[20],"is":[21,62],"restricted":[22],"to":[23],"transverse":[24],"displacements.":[25],"The":[26],"middle":[27],"surface":[28],"constitutes":[32],"mathematical":[34],"boundary":[35],"three-dimensional":[38],"domain.":[40],"We":[41],"show":[42],"that":[43],"weak":[44],"solutions":[45],"exist":[46],"as":[47,49],"long":[48],"magnitude":[51],"displacement":[54],"stays":[55],"below":[56],"some":[57],"(possibly":[58],"large)":[59],"bound":[60],"which":[61],"determined":[63],"by":[64],"geometry":[66],"undeformed":[69],"shell.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
