{"id":"https://openalex.org/W4388130990","doi":"https://doi.org/10.1137/22m1510984","title":"The Peskin Problem with \\({\\boldsymbol{\\dot B^1_{\\infty,\\infty }}}\\) Initial Data","display_name":"The Peskin Problem with \\({\\boldsymbol{\\dot B^1_{\\infty,\\infty }}}\\) Initial Data","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4388130990","doi":"https://doi.org/10.1137/22m1510984"},"language":"en","primary_location":{"id":"doi:10.1137/22m1510984","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1510984","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/A5022967712","display_name":"Ke Chen","orcid":"https://orcid.org/0009-0007-6349-9397"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Chen","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Yangpu, Shanghai, 200433, China"],"raw_orcid":"https://orcid.org/0000-0002-4560-2107","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Yangpu, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100753474","display_name":"Quoc\u2010Hung Nguyen","orcid":"https://orcid.org/0000-0001-9560-9975"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Quoc-Hung Nguyen","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China"],"raw_orcid":"https://orcid.org/0000-0001-9560-9975","affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100753474"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":3.6331,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.94137225,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"55","issue":"6","first_page":"6262","last_page":"6304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9897000193595886,"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"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9897000193595886,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9890999794006348,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9811000227928162,"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/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7644798755645752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7572378516197205},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.577784538269043},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5515501499176025},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4911324679851532},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4483835697174072},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4445897340774536},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23832246661186218},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15678617358207703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05636855959892273},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.053940027952194214}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7644798755645752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7572378516197205},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.577784538269043},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5515501499176025},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4911324679851532},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4483835697174072},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4445897340774536},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23832246661186218},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15678617358207703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05636855959892273},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.053940027952194214},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1510984","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1510984","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":[],"awards":[{"id":"https://openalex.org/G7970755986","display_name":null,"funder_award_id":"12050410257","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320327675","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W166242285","https://openalex.org/W1984426476","https://openalex.org/W2021762327","https://openalex.org/W2034874833","https://openalex.org/W2035762669","https://openalex.org/W2055099692","https://openalex.org/W2057189031","https://openalex.org/W2084131634","https://openalex.org/W2090154928","https://openalex.org/W2101646425","https://openalex.org/W2104916175","https://openalex.org/W2136309462","https://openalex.org/W2145851836","https://openalex.org/W2325583850","https://openalex.org/W2523321289","https://openalex.org/W2536217133","https://openalex.org/W2571165551","https://openalex.org/W2596227855","https://openalex.org/W2611156397","https://openalex.org/W2611754255","https://openalex.org/W2793465448","https://openalex.org/W2898614198","https://openalex.org/W2954714076","https://openalex.org/W2956039856","https://openalex.org/W2963226225","https://openalex.org/W2964200067","https://openalex.org/W3014376342","https://openalex.org/W3084070539","https://openalex.org/W3093369816","https://openalex.org/W3098324473","https://openalex.org/W3099500484","https://openalex.org/W3101805917","https://openalex.org/W3113010604","https://openalex.org/W3134117271","https://openalex.org/W3134894324","https://openalex.org/W3147711979","https://openalex.org/W3156739985","https://openalex.org/W3169495828","https://openalex.org/W3183773298","https://openalex.org/W3215604801","https://openalex.org/W4213021285","https://openalex.org/W4294203099"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2417585376","https://openalex.org/W1994157709","https://openalex.org/W4294336468","https://openalex.org/W2797811993"],"abstract_inverted_index":{".In":[0],"this":[1],"paper":[2],"we":[3],"study":[4],"the":[5,13,29,41,45,49,67,72,92,97],"Peskin":[6,98],"problem":[7,99],"in":[8,22,36,58,71],"two":[9],"dimensions,":[10],"which":[11],"describes":[12],"dynamics":[14],"of":[15,69],"a":[16,23],"one-dimensional":[17],"closed":[18],"elastic":[19],"structure":[20,104],"immersed":[21],"steady":[24],"Stokes":[25],"flow.":[26],"We":[27],"prove":[28],"local":[30],"well-posedness":[31,47,94],"for":[32,96],"arbitrary":[33],"initial":[34,50,102],"configuration":[35,51],"\\((C^2)^{\\dot":[37,63],"B^1_{\\infty,\\infty":[38,60,64,76],"}}\\)":[39,65],"satisfying":[40],"well-stretched":[42],"condition,":[43],"and":[44],"global":[46],"when":[48],"is":[52,66,91],"sufficiently":[53],"close":[54],"to":[55,83],"an":[56,84],"equilibrium":[57,85],"\\(\\dot":[59,75],"}\\).":[61,77],"Here":[62],"closure":[68],"\\(C^2\\)":[70],"Besov":[73],"space":[74],"The":[78],"global-in-time":[79],"solution":[80],"will":[81],"converge":[82],"exponentially":[86],"as":[87],"\\(t\\rightarrow":[88],"+\\infty\\).":[89],"This":[90],"first":[93],"result":[95],"with":[100],"non-Lipschitz":[101],"data.Keywordsfluid":[103],"interactionBesov":[105],"spaceswell-stretched":[106],"assumptionMSC":[107],"codes35Q35":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
