{"id":"https://openalex.org/W4392429278","doi":"https://doi.org/10.1137/23m1590767","title":"Analysis of a Dilute Polymer Model with a Time-Fractional Derivative","display_name":"Analysis of a Dilute Polymer Model with a Time-Fractional Derivative","publication_year":2024,"publication_date":"2024-03-04","ids":{"openalex":"https://openalex.org/W4392429278","doi":"https://doi.org/10.1137/23m1590767"},"language":"en","primary_location":{"id":"doi:10.1137/23m1590767","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1590767","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/A5019190389","display_name":"Marvin Fritz","orcid":"https://orcid.org/0000-0002-8360-7371"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Marvin Fritz","raw_affiliation_strings":["Computational Methods for PDEs, Johann Radon Institute for Computational and Applied Mathematics, 4040 Linz Austria"],"raw_orcid":"https://orcid.org/0000-0002-8360-7371","affiliations":[{"raw_affiliation_string":"Computational Methods for PDEs, Johann Radon Institute for Computational and Applied Mathematics, 4040 Linz Austria","institution_ids":["https://openalex.org/I4210158379"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064002486","display_name":"Endre S\u00fcli","orcid":"https://orcid.org/0000-0002-0812-6105"},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Endre S\u00fcli","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford OX2 6GG UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford OX2 6GG UK","institution_ids":["https://openalex.org/I4210120676"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018841476","display_name":"Barbara Wohlmuth","orcid":"https://orcid.org/0000-0001-6908-6015"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barbara Wohlmuth","raw_affiliation_strings":["Department of Mathematics, Technical University of Munich, 85748 Garching bei M\u00fcnchen Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Munich, 85748 Garching bei M\u00fcnchen Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4442,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8781217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"56","issue":"2","first_page":"2063","last_page":"2089"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7460000514984131},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.7441965341567993},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5614681839942932},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5002682209014893},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3951677083969116}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7460000514984131},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7441965341567993},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5614681839942932},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5002682209014893},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3951677083969116},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1590767","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1590767","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.5400000214576721,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W658021810","https://openalex.org/W1644147296","https://openalex.org/W1860991820","https://openalex.org/W1970174027","https://openalex.org/W1978100085","https://openalex.org/W1992026911","https://openalex.org/W1995787405","https://openalex.org/W2007300371","https://openalex.org/W2013812365","https://openalex.org/W2015884817","https://openalex.org/W2018186438","https://openalex.org/W2029483703","https://openalex.org/W2039205069","https://openalex.org/W2040194422","https://openalex.org/W2045514685","https://openalex.org/W2051580222","https://openalex.org/W2052671664","https://openalex.org/W2055421059","https://openalex.org/W2058243333","https://openalex.org/W2059464393","https://openalex.org/W2064111404","https://openalex.org/W2066500531","https://openalex.org/W2069683407","https://openalex.org/W2073078790","https://openalex.org/W2091772734","https://openalex.org/W2111271983","https://openalex.org/W2115137081","https://openalex.org/W2123899893","https://openalex.org/W2129948068","https://openalex.org/W2130253079","https://openalex.org/W2138467683","https://openalex.org/W2151690421","https://openalex.org/W2157452532","https://openalex.org/W2158834796","https://openalex.org/W2169404774","https://openalex.org/W2171064328","https://openalex.org/W2220122545","https://openalex.org/W2483239599","https://openalex.org/W2493549790","https://openalex.org/W2593819989","https://openalex.org/W2773838778","https://openalex.org/W2796511126","https://openalex.org/W2901664729","https://openalex.org/W2911869855","https://openalex.org/W2913049507","https://openalex.org/W2962972336","https://openalex.org/W3006909054","https://openalex.org/W3036380194","https://openalex.org/W3099886489","https://openalex.org/W3102573740","https://openalex.org/W3102635876","https://openalex.org/W3102859449","https://openalex.org/W3106026525","https://openalex.org/W3118280074","https://openalex.org/W3122267609","https://openalex.org/W3124108782","https://openalex.org/W3148329882","https://openalex.org/W3174733916","https://openalex.org/W3182033964","https://openalex.org/W3194956165","https://openalex.org/W4206252927","https://openalex.org/W4214552168","https://openalex.org/W4231574942","https://openalex.org/W4236865815","https://openalex.org/W4238209390","https://openalex.org/W4239576510","https://openalex.org/W4242247520","https://openalex.org/W4244854774","https://openalex.org/W4247953052","https://openalex.org/W4318826990","https://openalex.org/W4388451641"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2089892488","https://openalex.org/W2416906960","https://openalex.org/W2050580331","https://openalex.org/W3049300385"],"abstract_inverted_index":{".We":[0],"investigate":[1],"the":[2,17,27,59,62,73,78,91,95,105],"well-posedness":[3],"of":[4,20,23,29,61,72,108,116,131],"a":[5,10,34,40,65,83],"coupled":[6],"Navier\u2013Stokes\u2013Fokker\u2013Planck":[7],"system":[8],"with":[9,54],"time-fractional":[11,114],"derivative.":[12],"Such":[13],"systems":[14],"arise":[15],"in":[16,33,47,77,94],"kinetic":[18],"theory":[19],"dilute":[21],"solutions":[22,111],"polymeric":[24],"liquids,":[25],"where":[26],"motion":[28],"noninteracting":[30],"polymer":[31,74,135],"chains":[32],"Newtonian":[35],"solvent":[36,79],"is":[37,98],"modeled":[38,81],"by":[39,82,128],"stochastic":[41],"process":[42],"exhibiting":[43],"power-law":[44],"waiting":[45],"time":[46],"order":[48,117],"to":[49,100,112],"capture":[50],"subdiffusive":[51],"processes":[52],"associated":[53],"non-Fickian":[55],"diffusion.":[56],"We":[57,103],"outline":[58],"derivation":[60],"model":[63,115],"from":[64],"subordinated":[66],"Langevin":[67],"equation.":[68],"The":[69],"elastic":[70,87],"properties":[71],"molecules":[75],"immersed":[76],"are":[80],"finitely":[84],"extensible":[85],"nonlinear":[86],"dumbbell":[88],"model,":[89],"and":[90,122,137],"drag":[92],"term":[93],"Fokker\u2013Planck":[96],"equation":[97],"assumed":[99],"be":[101],"corotational.":[102],"prove":[104],"global-in-time":[106],"existence":[107],"large-data":[109],"weak":[110,129,132],"this":[113],"\\(\\alpha":[118],"\\in":[119],"(\\tfrac":[120],"12,1)\\)":[121],"derive":[123],"an":[124],"energy":[125],"inequality":[126],"satisfied":[127],"solutions.Keywordsexistence":[130],"solutionsNavier\u2013Stokes\u2013Fokker\u2013Planck":[133],"systemdilute":[134],"modelHookean":[136],"FENE-type":[138],"bead-spring-chain":[139],"modelRiemann\u2013Liouville":[140],"fractional":[141],"derivativetime-fractional":[142],"PDEMSC":[143],"codes35Q3035Q8435R1160G2282C3182D60":[144]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}