{"id":"https://openalex.org/W2592769256","doi":"https://doi.org/10.1137/11085952x","title":"Strong Solutions, Global Regularity, and Stability of a Hydrodynamic System Modeling Vesicle and Fluid Interactions","display_name":"Strong Solutions, Global Regularity, and Stability of a Hydrodynamic System Modeling Vesicle and Fluid Interactions","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2592769256","doi":"https://doi.org/10.1137/11085952x","mag":"2592769256"},"language":"en","primary_location":{"id":"doi:10.1137/11085952x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/11085952x","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/A5004549584","display_name":"Hao Wu","orcid":"https://orcid.org/0000-0003-0342-4709"},"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":"Hao Wu","raw_affiliation_strings":["School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, 200433 Shanghai, China,"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, 200433 Shanghai, China,","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101702029","display_name":"Xiang Xu","orcid":"https://orcid.org/0000-0002-0927-2729"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiang Xu","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213,","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101702029"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":2.3683,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88297384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"45","issue":"1","first_page":"181","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9968000054359436,"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":0.9968000054359436,"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/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11721","display_name":"Blood properties and coagulation","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8030655384063721},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7097367644309998},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6825311779975891},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.597725510597229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5691285133361816},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.5390647053718567},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.48054128885269165},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.42247045040130615},{"id":"https://openalex.org/keywords/viscous-liquid","display_name":"Viscous liquid","score":0.4208722412586212},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.38295847177505493},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2924678325653076},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24159476161003113},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08572867512702942}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8030655384063721},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7097367644309998},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6825311779975891},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.597725510597229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5691285133361816},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5390647053718567},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.48054128885269165},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.42247045040130615},{"id":"https://openalex.org/C71351571","wikidata":"https://www.wikidata.org/wiki/Q7935890","display_name":"Viscous liquid","level":2,"score":0.4208722412586212},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38295847177505493},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2924678325653076},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24159476161003113},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08572867512702942},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/11085952x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/11085952x","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6600000262260437}],"awards":[{"id":"https://openalex.org/G2610490205","display_name":null,"funder_award_id":"0635983","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2842098976","display_name":null,"funder_award_id":"DMS-0635983","funder_id":"https://openalex.org/F4320310207","funder_display_name":"Carnegie Mellon University"},{"id":"https://openalex.org/G4679058229","display_name":"Some mesoscale issues for applied mathematics","funder_award_id":"0806703","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4908345339","display_name":null,"funder_award_id":"DMS-0635983","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G5497026864","display_name":null,"funder_award_id":"DMS-0635983","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7184203518","display_name":null,"funder_award_id":"DMS-0405343","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8047962553","display_name":"Center for Nonlinear Analysis: Research and Training in Applied Mathematics","funder_award_id":"0405343","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8837756326","display_name":null,"funder_award_id":"DMS-0405343","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/F4320310207","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321851","display_name":"Fudan University","ror":"https://ror.org/013q1eq08"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320336024","display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China","ror":null},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W841228436","https://openalex.org/W1566292686","https://openalex.org/W1967270075","https://openalex.org/W1977258528","https://openalex.org/W2002116790","https://openalex.org/W2002365705","https://openalex.org/W2011365091","https://openalex.org/W2018237050","https://openalex.org/W2021384657","https://openalex.org/W2030537208","https://openalex.org/W2030843984","https://openalex.org/W2031320386","https://openalex.org/W2046127134","https://openalex.org/W2048835264","https://openalex.org/W2049031884","https://openalex.org/W2052874462","https://openalex.org/W2053544741","https://openalex.org/W2057597234","https://openalex.org/W2059350070","https://openalex.org/W2062837933","https://openalex.org/W2068372070","https://openalex.org/W2074127312","https://openalex.org/W2074726397","https://openalex.org/W2081331750","https://openalex.org/W2094638130","https://openalex.org/W2147722083","https://openalex.org/W2150388881","https://openalex.org/W2157379172","https://openalex.org/W2159095203","https://openalex.org/W2159477611","https://openalex.org/W2264936970","https://openalex.org/W2329975073","https://openalex.org/W2964067461","https://openalex.org/W3098249896","https://openalex.org/W3098778951","https://openalex.org/W4244360209"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W2050111419","https://openalex.org/W2898988421","https://openalex.org/W2052559186"],"abstract_inverted_index":{"In":[0,31],"this":[1],"paper,":[2],"we":[3,35,74],"study":[4],"a":[5,27],"hydrodynamic":[6],"system":[7,19,80],"modeling":[8],"the":[9,22,32,37,54,67,76,79,85],"deformation":[10],"of":[11,21,39,66,78,84],"vesicle":[12],"membranes":[13],"in":[14,64],"incompressible":[15],"viscous":[16],"fluids.":[17],"The":[18],"consists":[20],"Navier--Stokes":[23],"equations":[24],"coupled":[25],"with":[26],"fourth-order":[28],"phase-field":[29],"equation.":[30],"three-dimensional":[33],"case,":[34],"prove":[36],"existence/uniqueness":[38],"local":[40,70,82],"strong":[41,51],"solutions":[42,52],"for":[43,69],"arbitrary":[44],"initial":[45],"data":[46],"as":[47,49],"well":[48],"global":[50],"under":[53],"large":[55],"viscosity":[56],"assumption.":[57],"We":[58],"also":[59],"establish":[60],"some":[61],"regularity":[62],"criteria":[63],"terms":[65],"velocity":[68],"smooth":[71],"solutions.":[72],"Finally,":[73],"investigate":[75],"stability":[77],"near":[81],"minimizers":[83],"elastic":[86],"bending":[87],"energy.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}