{"id":"https://openalex.org/W270421130","doi":"https://doi.org/10.1137/15m101631x","title":"Parametric Resonance in Spherical Immersed Elastic Shells","display_name":"Parametric Resonance in Spherical Immersed Elastic Shells","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W270421130","doi":"https://doi.org/10.1137/15m101631x","mag":"270421130"},"language":"en","primary_location":{"id":"doi:10.1137/15m101631x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m101631x","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/1411.1345","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010030093","display_name":"William L. Ko","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"William Ko","raw_affiliation_strings":["Simon Fraser University"],"affiliations":[{"raw_affiliation_string":"Simon Fraser University","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010820555","display_name":"John M. Stockie","orcid":"https://orcid.org/0000-0001-7519-4311"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"John M. Stockie","raw_affiliation_strings":["Department of Mathematics, Simon Fraser University, Burnaby, BC, V5A 1S6, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, BC, V5A 1S6, Canada","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010030093"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":null,"apc_paid":null,"fwci":1.2459,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76579447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"76","issue":"1","first_page":"58","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9998000264167786,"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/T11486","display_name":"Micro and Nano Robotics","score":0.9915000200271606,"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/T11721","display_name":"Blood properties and coagulation","score":0.9735999703407288,"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/immersed-boundary-method","display_name":"Immersed boundary method","score":0.7877193689346313},{"id":"https://openalex.org/keywords/fluid\u2013structure-interaction","display_name":"Fluid\u2013structure interaction","score":0.7667737603187561},{"id":"https://openalex.org/keywords/inviscid-flow","display_name":"Inviscid flow","score":0.6897231340408325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6301723122596741},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5293263792991638},{"id":"https://openalex.org/keywords/spherical-shell","display_name":"Spherical shell","score":0.5045024156570435},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4778706431388855},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.46704214811325073},{"id":"https://openalex.org/keywords/viscous-liquid","display_name":"Viscous liquid","score":0.4610620439052582},{"id":"https://openalex.org/keywords/floquet-theory","display_name":"Floquet theory","score":0.4578707218170166},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4543846845626831},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4539787471294403},{"id":"https://openalex.org/keywords/shell","display_name":"Shell (structure)","score":0.4263978600502014},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.42618328332901},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4214158058166504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.281749427318573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18493345379829407},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.12268006801605225},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09893104434013367}],"concepts":[{"id":"https://openalex.org/C121704545","wikidata":"https://www.wikidata.org/wiki/Q11425899","display_name":"Immersed boundary method","level":3,"score":0.7877193689346313},{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.7667737603187561},{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.6897231340408325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6301723122596741},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5293263792991638},{"id":"https://openalex.org/C108280814","wikidata":"https://www.wikidata.org/wiki/Q12137","display_name":"Spherical shell","level":3,"score":0.5045024156570435},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4778706431388855},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.46704214811325073},{"id":"https://openalex.org/C71351571","wikidata":"https://www.wikidata.org/wiki/Q7935890","display_name":"Viscous liquid","level":2,"score":0.4610620439052582},{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.4578707218170166},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4543846845626831},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4539787471294403},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.4263978600502014},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42618328332901},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4214158058166504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.281749427318573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18493345379829407},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.12268006801605225},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09893104434013367},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m101631x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m101631x","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:1411.1345","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.1345","pdf_url":"https://arxiv.org/pdf/1411.1345","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1411.1345","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.1345","pdf_url":"https://arxiv.org/pdf/1411.1345","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W608897751","https://openalex.org/W996221855","https://openalex.org/W1186372665","https://openalex.org/W1958809597","https://openalex.org/W1979521514","https://openalex.org/W1981967251","https://openalex.org/W1985227450","https://openalex.org/W1993044036","https://openalex.org/W1996160600","https://openalex.org/W2008368201","https://openalex.org/W2021036023","https://openalex.org/W2025421129","https://openalex.org/W2032231305","https://openalex.org/W2033650275","https://openalex.org/W2034663407","https://openalex.org/W2034697927","https://openalex.org/W2043060209","https://openalex.org/W2045855805","https://openalex.org/W2046853411","https://openalex.org/W2048266952","https://openalex.org/W2050175223","https://openalex.org/W2053857104","https://openalex.org/W2054463870","https://openalex.org/W2056110388","https://openalex.org/W2067154036","https://openalex.org/W2070793482","https://openalex.org/W2072051564","https://openalex.org/W2073903624","https://openalex.org/W2084131634","https://openalex.org/W2089727948","https://openalex.org/W2094349400","https://openalex.org/W2095006601","https://openalex.org/W2095612192","https://openalex.org/W2110780007","https://openalex.org/W2116206062","https://openalex.org/W2120343074","https://openalex.org/W2123535803","https://openalex.org/W2125366494","https://openalex.org/W2143298487","https://openalex.org/W2150291569","https://openalex.org/W2169635603","https://openalex.org/W2171909906","https://openalex.org/W2173009568","https://openalex.org/W2264936970","https://openalex.org/W2313299119","https://openalex.org/W2315304004","https://openalex.org/W2617577234","https://openalex.org/W2801179766","https://openalex.org/W2911849323","https://openalex.org/W3098404612","https://openalex.org/W4253361434"],"related_works":["https://openalex.org/W2626149735","https://openalex.org/W2180508062","https://openalex.org/W2991156296","https://openalex.org/W2741069343","https://openalex.org/W3046608897","https://openalex.org/W2598889363","https://openalex.org/W2559806270","https://openalex.org/W2559927762","https://openalex.org/W3025862104","https://openalex.org/W2729964603"],"abstract_inverted_index":{"We":[0,89],"perform":[1,90],"a":[2,6,13,22,81,91,100,138,144,155,186,202],"stability":[3,93],"analysis":[4,94],"for":[5,143],"fluid-structure":[7],"interaction":[8,68],"(FSI)":[9],"problem":[10,48],"in":[11,21,57,95,117,124,204],"which":[12,58,118,166],"spherical":[14],"elastic":[15,75,86],"shell":[16,29],"or":[17,196],"membrane":[18,87],"is":[19,30,49,77,159],"immersed":[20,54,72,140],"three-dimensional":[23],"(3D)":[24],"viscous,":[25],"incompressible":[26],"fluid.":[27],"The":[28,47,74,129],"an":[31],"idealized":[32],"structure":[33,76],"having":[34],"zero":[35],"thickness":[36],"and":[37,45,71,102,105,148,165,193],"has":[38],"the":[39,53,66,85,96,108,119,125,190],"same":[40],"fluid":[41,70,104,206],"lying":[42],"both":[43,99],"inside":[44],"outside.":[46],"formulated":[50],"mathematically":[51],"using":[52,134],"boundary":[55,141],"framework,":[56],"Dirac":[59],"delta":[60],"functions":[61],"are":[62,132,183],"employed":[63],"to":[64,114,173,180],"capture":[65],"two-way":[67],"between":[69],"structure.":[73],"driven":[78],"parametrically":[79],"via":[80],"time-periodic":[82],"modulation":[83],"of":[84,98,127,146],"stiffness.":[88],"Floquet":[92],"case":[97],"viscous":[101],"inviscid":[103],"demonstrate":[106],"that":[107,158],"forced":[109],"fluid-membrane":[110],"system":[111],"gives":[112],"rise":[113],"parametric":[115],"resonances":[116],"solution":[120],"becomes":[121],"unbounded":[122],"even":[123],"presence":[126],"viscosity.":[128],"analytical":[130,163],"results":[131,164],"validated":[133],"numerical":[135],"simulations":[136],"with":[137,185],"3D":[139],"code":[142],"range":[145],"wavenumbers":[147],"physical":[149],"parameter":[150],"values.":[151],"Moreover,":[152],"we":[153],"propose":[154],"benchmark":[156],"computation":[157],"supported":[160],"by":[161],"our":[162],"other":[167],"FSI":[168],"software":[169],"developers":[170],"can":[171],"use":[172],"validate":[174],"their":[175],"simulations.":[176],"Finally,":[177],"potential":[178],"applications":[179],"biological":[181],"systems":[182],"discussed,":[184],"particular":[187],"focus":[188],"on":[189],"human":[191],"heart":[192],"investigating":[194],"whether":[195],"not":[197],"FSI-mediated":[198],"instabilities":[199],"could":[200],"play":[201],"role":[203],"cardiac":[205],"dynamics.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}