{"id":"https://openalex.org/W2742489949","doi":"https://doi.org/10.1137/16m1068505","title":"Global Existence Result for the Generalized Peterlin Viscoelastic Model","display_name":"Global Existence Result for the Generalized Peterlin Viscoelastic Model","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2742489949","doi":"https://doi.org/10.1137/16m1068505","mag":"2742489949"},"language":"en","primary_location":{"id":"doi:10.1137/16m1068505","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1068505","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/A5077357327","display_name":"M\u00e1ria Luk\u00e1\u010dov\u00e1\u2013Medvid\u2019ov\u00e1","orcid":"https://orcid.org/0000-0002-4351-0161"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M\u00e1ria Luk\u00e1\u010dov\u00e1-Medvi\u010fov\u00e1","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033642279","display_name":"Hana Mizerov\u00e1","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hana Mizerov\u00e1","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063077794","display_name":"\u0160\u00e1rka Ne\u010dasov\u00e1","orcid":"https://orcid.org/0000-0003-3853-4633"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u0160\u00e1rka Ne\u010dasov\u00e1","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5050247362","display_name":"Michael Renardy","orcid":"https://orcid.org/0000-0002-5846-6773"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Renardy","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077357327"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.456,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.78410678,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"49","issue":"4","first_page":"2950","last_page":"2964"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.994700014591217,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/viscoelasticity","display_name":"Viscoelasticity","score":0.7565709948539734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7328798174858093},{"id":"https://openalex.org/keywords/constitutive-equation","display_name":"Constitutive equation","score":0.6800093054771423},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5927329063415527},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5168445706367493},{"id":"https://openalex.org/keywords/spring","display_name":"Spring (device)","score":0.4860668480396271},{"id":"https://openalex.org/keywords/dumbbell","display_name":"Dumbbell","score":0.4803161025047302},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.46502041816711426},{"id":"https://openalex.org/keywords/weak-solution","display_name":"Weak solution","score":0.41888493299484253},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32281967997550964},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11759039759635925}],"concepts":[{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.7565709948539734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7328798174858093},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.6800093054771423},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5927329063415527},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5168445706367493},{"id":"https://openalex.org/C2778712887","wikidata":"https://www.wikidata.org/wiki/Q102836","display_name":"Spring (device)","level":2,"score":0.4860668480396271},{"id":"https://openalex.org/C2776546559","wikidata":"https://www.wikidata.org/wiki/Q465453","display_name":"Dumbbell","level":2,"score":0.4803161025047302},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.46502041816711426},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.41888493299484253},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32281967997550964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11759039759635925},{"id":"https://openalex.org/C1862650","wikidata":"https://www.wikidata.org/wiki/Q186005","display_name":"Physical therapy","level":1,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/16m1068505","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1068505","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:asep.lib.cas.cz:CavUnEpca/0476960","is_oa":false,"landing_page_url":"http://hdl.handle.net/11104/0273363","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1136078520","display_name":null,"funder_award_id":"IRTG 1529","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1272224850","display_name":null,"funder_award_id":"P201-13-00522S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G5402925694","display_name":null,"funder_award_id":"TRR 146","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8493385874","display_name":null,"funder_award_id":"DMS-1514576","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W226720830","https://openalex.org/W1574690877","https://openalex.org/W1860991820","https://openalex.org/W1963630399","https://openalex.org/W1963789913","https://openalex.org/W1973713541","https://openalex.org/W1978100085","https://openalex.org/W1993742194","https://openalex.org/W2016366814","https://openalex.org/W2017822305","https://openalex.org/W2017992420","https://openalex.org/W2019626761","https://openalex.org/W2019704130","https://openalex.org/W2037801075","https://openalex.org/W2040648700","https://openalex.org/W2051580222","https://openalex.org/W2053544741","https://openalex.org/W2059464393","https://openalex.org/W2061265555","https://openalex.org/W2064111404","https://openalex.org/W2071284513","https://openalex.org/W2072309531","https://openalex.org/W2081505934","https://openalex.org/W2085563670","https://openalex.org/W2091600638","https://openalex.org/W2092913744","https://openalex.org/W2112881562","https://openalex.org/W2122821985","https://openalex.org/W2147924854","https://openalex.org/W2169404774","https://openalex.org/W2276764828","https://openalex.org/W2964095971","https://openalex.org/W3098215085","https://openalex.org/W3098406752","https://openalex.org/W3098525247","https://openalex.org/W3099996211","https://openalex.org/W3124108782","https://openalex.org/W4239576510"],"related_works":["https://openalex.org/W2123458891","https://openalex.org/W2068269638","https://openalex.org/W2307941280","https://openalex.org/W4221057967","https://openalex.org/W2059449172","https://openalex.org/W2332774387","https://openalex.org/W2387407583","https://openalex.org/W2089309364","https://openalex.org/W2354516437","https://openalex.org/W3162315667"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,23,71],"class":[3],"of":[4,7,53,70],"differential":[5],"models":[6,15],"viscoelastic":[8],"fluids":[9],"with":[10,22],"diffusive":[11],"stress.":[12],"These":[13],"constitutive":[14,39,47],"are":[16],"motivated":[17],"by":[18],"Peterlin":[19],"dumbbell":[20],"theories":[21],"nonlinear":[24,46],"spring":[25],"law":[26],"for":[27,56],"an":[28],"infinitely":[29],"extensible":[30],"spring.":[31],"A":[32],"diffusion":[33],"term":[34],"is":[35],"included":[36],"in":[37],"the":[38,45,67],"model.":[40],"Under":[41],"appropriate":[42],"assumptions":[43],"on":[44],"functions,":[48],"we":[49,65],"prove":[50,66],"global":[51,68],"existence":[52,69],"weak":[54],"solutions":[55],"large":[57],"data.":[58],"For":[59],"creeping":[60],"flows":[61],"and":[62],"two-dimensional":[63],"flows,":[64],"classical":[72],"solution":[73],"under":[74],"stronger":[75],"assumptions.":[76]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}