{"id":"https://openalex.org/W1981359415","doi":"https://doi.org/10.1137/10080083x","title":"An Existence and Uniqueness Result for the Motion of Self-Propelled Microswimmers","display_name":"An Existence and Uniqueness Result for the Motion of Self-Propelled Microswimmers","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1981359415","doi":"https://doi.org/10.1137/10080083x","mag":"1981359415"},"language":"en","primary_location":{"id":"doi:10.1137/10080083x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/10080083x","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/A5052472275","display_name":"Gianni Dal Maso","orcid":"https://orcid.org/0000-0002-1010-4968"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Gianni Dal Maso","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028685695","display_name":"Antonio DeSimone","orcid":"https://orcid.org/0000-0002-2632-3057"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Antonio DeSimone","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5026939776","display_name":"Marco Morandotti","orcid":"https://orcid.org/0000-0003-3528-6152"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marco Morandotti","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052472275"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.1051,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.95585348,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"43","issue":"3","first_page":"1345","last_page":"1368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13052","display_name":"Molecular Communication and Nanonetworks","score":0.9902999997138977,"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/uniqueness","display_name":"Uniqueness","score":0.7134185433387756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6724382042884827},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6016315221786499},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.5455718040466309},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5144803524017334},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.5081691741943359},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4960862100124359},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.48187169432640076},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.42420119047164917},{"id":"https://openalex.org/keywords/fictitious-force","display_name":"Fictitious force","score":0.42025333642959595},{"id":"https://openalex.org/keywords/torque","display_name":"Torque","score":0.41962727904319763},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.41592180728912354},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3929108679294586},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28957119584083557},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2623157501220703},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.21128186583518982},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13390305638313293},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.07582661509513855}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7134185433387756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6724382042884827},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6016315221786499},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5455718040466309},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5144803524017334},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.5081691741943359},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4960862100124359},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.48187169432640076},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.42420119047164917},{"id":"https://openalex.org/C30811805","wikidata":"https://www.wikidata.org/wiki/Q212126","display_name":"Fictitious force","level":2,"score":0.42025333642959595},{"id":"https://openalex.org/C144171764","wikidata":"https://www.wikidata.org/wiki/Q48103","display_name":"Torque","level":2,"score":0.41962727904319763},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.41592180728912354},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3929108679294586},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28957119584083557},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2623157501220703},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.21128186583518982},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13390305638313293},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.07582661509513855},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/10080083x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/10080083x","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:ricerca.sns.it:11384/84157","is_oa":false,"landing_page_url":"https://hdl.handle.net/11384/84157","pdf_url":null,"source":{"id":"https://openalex.org/S7407050981","display_name":"Scuola Normale Superiore di Pisa","issn_l":null,"issn":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1509697219","https://openalex.org/W1577142055","https://openalex.org/W1582617215","https://openalex.org/W1604809219","https://openalex.org/W1866311589","https://openalex.org/W1964211981","https://openalex.org/W1970198413","https://openalex.org/W1978101331","https://openalex.org/W1980388405","https://openalex.org/W1981890426","https://openalex.org/W1985815049","https://openalex.org/W1992239587","https://openalex.org/W1992823454","https://openalex.org/W2012404765","https://openalex.org/W2013310442","https://openalex.org/W2014051441","https://openalex.org/W2019976059","https://openalex.org/W2031432225","https://openalex.org/W2056370235","https://openalex.org/W2076582418","https://openalex.org/W2122468689","https://openalex.org/W2964154327","https://openalex.org/W4231779336"],"related_works":["https://openalex.org/W2385608510","https://openalex.org/W1968903915","https://openalex.org/W2921758623","https://openalex.org/W2351130891","https://openalex.org/W2359757059","https://openalex.org/W2368236943","https://openalex.org/W2152499453","https://openalex.org/W1632899466","https://openalex.org/W2369702608","https://openalex.org/W2364237601"],"abstract_inverted_index":{"We":[0,37],"present":[1],"an":[2,102],"analytical":[3],"framework":[4],"to":[5,87,117,129,150],"study":[6],"the":[7,25,32,35,40,48,52,59,72,88,91,98,110,131,156],"motion":[8,33,85,113],"of":[9,27,34,51,84,90,105,112,120,135,155],"microswimmers":[10],"in":[11],"a":[12,118],"viscous":[13,92,106],"fluid.":[14],"Our":[15],"main":[16],"result":[17],"is":[18,43,56],"that,":[19],"under":[20],"very":[21,44],"mild":[22],"regularity":[23],"assumptions,":[24],"change":[26],"body":[28],"shape":[29],"uniquely":[30],"determines":[31],"swimmer.":[36],"assume":[38],"that":[39,47,140],"Reynolds":[41],"number":[42],"small,":[45],"so":[46,139],"velocity":[49],"field":[50],"surrounding":[53],"infinite":[54],"fluid":[55],"governed":[57],"by":[58],"Stokes":[60],"system":[61,119],"and":[62,79,94,108,133,153],"all":[63],"inertial":[64],"effects":[65],"can":[66,114,147],"be":[67,115,148],"neglected.":[68],"Moreover,":[69],"we":[70],"enforce":[71],"self":[73],"propulsion":[74],"constraint":[75],"(no":[76],"external":[77],"forces":[78],"torques).":[80],"Therefore,":[81],"Newton's":[82],"equations":[83,111,146],"reduce":[86],"vanishing":[89],"force":[93,107],"torque":[95],"acting":[96],"on":[97,143],"body.":[99],"By":[100],"exploiting":[101],"integral":[103],"representation":[104],"torque,":[109],"reduced":[116],"six":[121],"ordinary":[122,144],"differential":[123,145],"equations.":[124],"Variational":[125],"techniques":[126],"are":[127],"used":[128],"prove":[130,151],"boundedness":[132],"measurability":[134],"this":[136],"system's":[137],"coefficients,":[138],"classical":[141],"results":[142],"invoked":[149],"existence":[152],"uniqueness":[154],"solution.":[157]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}