{"id":"https://openalex.org/W2883521837","doi":"https://doi.org/10.1137/18m1186873","title":"Global Strong Solutions for Some Differential Viscoelastic Models","display_name":"Global Strong Solutions for Some Differential Viscoelastic Models","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2883521837","doi":"https://doi.org/10.1137/18m1186873","mag":"2883521837"},"language":"en","primary_location":{"id":"doi:10.1137/18m1186873","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1186873","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1807.06946","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048482854","display_name":"Laurent Chupin","orcid":"https://orcid.org/0000-0002-4221-0095"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Laurent Chupin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5048482854"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.354,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.78672541,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"78","issue":"6","first_page":"2919","last_page":"2949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.5216000080108643,"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"}},"topics":[{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.5216000080108643,"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":0.13760000467300415,"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":0.10559999942779541,"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/viscoelasticity","display_name":"Viscoelasticity","score":0.8031700253486633},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5972209572792053},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.525528609752655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5166211724281311},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4832902252674103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39788997173309326},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10570964217185974}],"concepts":[{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.8031700253486633},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5972209572792053},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.525528609752655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5166211724281311},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4832902252674103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39788997173309326},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10570964217185974},{"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":3,"locations":[{"id":"doi:10.1137/18m1186873","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1186873","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:arXiv.org:1807.06946","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.06946","pdf_url":"https://arxiv.org/pdf/1807.06946","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:HAL:hal-01836257v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01836257","pdf_url":"https://hal.science/hal-01836257/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics, In press","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1807.06946","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.06946","pdf_url":"https://arxiv.org/pdf/1807.06946","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W226720830","https://openalex.org/W1644147296","https://openalex.org/W1965972843","https://openalex.org/W1970707076","https://openalex.org/W1973705458","https://openalex.org/W1973713541","https://openalex.org/W1973779621","https://openalex.org/W1975661045","https://openalex.org/W1978100085","https://openalex.org/W1978716969","https://openalex.org/W1982076740","https://openalex.org/W1983862039","https://openalex.org/W2002288498","https://openalex.org/W2006421086","https://openalex.org/W2008907023","https://openalex.org/W2015257860","https://openalex.org/W2017992420","https://openalex.org/W2019704130","https://openalex.org/W2020633273","https://openalex.org/W2028219472","https://openalex.org/W2037801075","https://openalex.org/W2040568488","https://openalex.org/W2051580222","https://openalex.org/W2059464393","https://openalex.org/W2061677137","https://openalex.org/W2064111404","https://openalex.org/W2068353290","https://openalex.org/W2070035454","https://openalex.org/W2071284513","https://openalex.org/W2078125833","https://openalex.org/W2085569626","https://openalex.org/W2089770022","https://openalex.org/W2094999722","https://openalex.org/W2113397364","https://openalex.org/W2115949701","https://openalex.org/W2129948068","https://openalex.org/W2134659202","https://openalex.org/W2136906585","https://openalex.org/W2138467683","https://openalex.org/W2151690421","https://openalex.org/W2159618415","https://openalex.org/W2742489949","https://openalex.org/W2744885557","https://openalex.org/W3099886489","https://openalex.org/W3104313021","https://openalex.org/W4206060504","https://openalex.org/W4239576510"],"related_works":["https://openalex.org/W4221057967","https://openalex.org/W4243019676","https://openalex.org/W2517352629","https://openalex.org/W2783562378","https://openalex.org/W4293192718","https://openalex.org/W1979597421","https://openalex.org/W2045876794","https://openalex.org/W2255703620","https://openalex.org/W2007980826","https://openalex.org/W807319463"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,20,29,66,69,144,154],"this":[3,128],"article":[4],"is":[5,24,37,56],"to":[6,58,87,104,125,135,148,166],"show":[7,41,117],"that":[8,42,118],"there":[9],"are":[10,90],"many":[11],"differential":[12],"viscoelastic":[13,156],"models":[14,82,120],"for":[15],"which":[16],"the":[17,27,33,67,70,73,99,109,113,150],"global":[18,30,63,106,138],"existence":[19,31],"a":[21,45,137],"regular":[22,61],"solution":[23,139],"possible.":[25],"Although":[26],"problem":[28],"in":[32,53,112,140],"classic":[34],"Oldroyd":[35],"model":[36],"still":[38],"open,":[39],"we":[40,116],"by":[43,49],"adding":[44],"nonlinear":[46],"contribution":[47],"(proposed":[48],"R.":[50],"G.":[51],"Larson":[52],"1984),":[54],"it":[55,102],"possible":[57,103],"obtain":[59,105],"more":[60,79],"and":[62,75,92,130,152,164],"solutions,":[64],"regardless":[65],"size":[68],"data":[71],"(in":[72],"two-dimensional":[74],"periodic":[76],"case).":[77],"Similarly,":[78],"complex":[80],"appearance":[81],"such":[83,155],"as":[84],"those":[85],"related":[86],"\u201cpom-pom\u201d":[88],"polymers":[89],"interesting":[91],"mathematically":[93],"richer:":[94],"some":[95],"\u201cnatural\u201d":[96],"bounds":[97],"on":[98],"stress":[100],"make":[101,167],"results.":[107],"On":[108],"other":[110,119],"hand,":[111],"last":[114],"part,":[115],"clearly":[121],"do":[122,131],"not":[123,132],"seem":[124,134],"fit":[126],"into":[127],"framework":[129],"even":[133],"have":[136],"time.":[141],"These":[142],"kinds":[143],"results":[145],"allow":[146],"us":[147],"highlight":[149],"advantages":[151],"disadvantages":[153],"fluid":[157],"models.":[158],"They":[159],"can":[160],"thus":[161],"help":[162],"rheologists":[163],"numericists":[165],"choices":[168],"with":[169],"new":[170],"arguments.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
