{"id":"https://openalex.org/W2000329828","doi":"https://doi.org/10.1137/090746318","title":"The Surface-Tension-Driven Retraction of a Viscida","display_name":"The Surface-Tension-Driven Retraction of a Viscida","publication_year":2009,"publication_date":"2009-12-11","ids":{"openalex":"https://openalex.org/W2000329828","doi":"https://doi.org/10.1137/090746318","mag":"2000329828"},"language":"en","primary_location":{"id":"doi:10.1137/090746318","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090746318","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":["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/A5076651454","display_name":"Ian M. Griffiths","orcid":"https://orcid.org/0000-0001-6882-7977"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"I. M. Griffiths","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032875580","display_name":"P. D. Howell","orcid":"https://orcid.org/0000-0002-6036-3386"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. D. Howell","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076651454"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9153,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.68932039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"70","issue":"5","first_page":"1453","last_page":"1487"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9976999759674072,"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/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6727632880210876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5646572113037109},{"id":"https://openalex.org/keywords/evolution-equation","display_name":"Evolution equation","score":0.5520864725112915},{"id":"https://openalex.org/keywords/surface-tension","display_name":"Surface tension","score":0.5334798097610474},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.512015163898468},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5088920593261719},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.50705885887146},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.478342741727829},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44695907831192017},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.42411544919013977},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.4238452911376953},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4232890009880066},{"id":"https://openalex.org/keywords/time-evolution","display_name":"Time evolution","score":0.4185430407524109},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33063119649887085},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3233911991119385},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21992266178131104}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6727632880210876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5646572113037109},{"id":"https://openalex.org/C2982905333","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Evolution equation","level":2,"score":0.5520864725112915},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.5334798097610474},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.512015163898468},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5088920593261719},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.50705885887146},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.478342741727829},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44695907831192017},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.42411544919013977},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.4238452911376953},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4232890009880066},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.4185430407524109},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33063119649887085},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3233911991119385},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21992266178131104},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090746318","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090746318","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:ora.ox.ac.uk:uuid:30909ac2-735c-47cf-a933-e5d761d602fe","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:30909ac2-735c-47cf-a933-e5d761d602fe","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1842498742","https://openalex.org/W1980979262","https://openalex.org/W1993842954","https://openalex.org/W2012757103","https://openalex.org/W2015189580","https://openalex.org/W2026505499","https://openalex.org/W2032692992","https://openalex.org/W2039236270","https://openalex.org/W2058446828","https://openalex.org/W2068132516","https://openalex.org/W2107661832","https://openalex.org/W2144917619","https://openalex.org/W2169312389"],"related_works":["https://openalex.org/W1995837622","https://openalex.org/W207565189","https://openalex.org/W3002339500","https://openalex.org/W2909081056","https://openalex.org/W2151656194","https://openalex.org/W2316416086","https://openalex.org/W2149051171","https://openalex.org/W2968161779","https://openalex.org/W2067352949","https://openalex.org/W3182680370"],"abstract_inverted_index":{"We":[0,21,88,123],"consider":[1],"the":[2,24,98,114,126,146,157],"surface-tension-driven":[3],"evolution":[4,25,100,115],"of":[5,10,43,101,107,116,141,155],"a":[6,17,29,40,47,81,85,102,117,121,142,153],"thin":[7],"two-dimensional":[8],"sheet":[9],"viscous":[11],"fluid":[12],"whose":[13],"ends":[14],"are":[15],"held":[16],"fixed":[18],"distance":[19],"apart.":[20],"find":[22],"that":[23,59,90,125],"is":[26,61,128,149],"governed":[27],"by":[28],"nonlocal":[30],"nonlinear":[31],"partial":[32],"differential":[33,144],"equation,":[34],"which":[35,57,75,119],"may":[36,93],"be":[37,94],"transformed,":[38],"via":[39],"suitable":[41],"change":[42],"time":[44],"variable,":[45],"to":[46,73,80,96,112,151],"simple":[48],"linear":[49],"equation.":[50],"This":[51],"possesses":[52],"an":[53],"interesting":[54],"dispersion":[55],"relation":[56],"indicates":[58],"it":[60],"well":[62],"posed":[63],"whether":[64],"solved":[65],"forwards":[66],"or":[67],"backwards":[68],"in":[69],"time,":[70],"enabling":[71],"us":[72],"determine":[74],"initial":[76],"shapes":[77],"will":[78],"evolve":[79],"given":[82],"shape":[83,158],"at":[84],"later":[86],"time.":[87,138],"demonstrate":[89],"our":[91],"model":[92],"used":[95],"describe":[97],"global":[99],"viscida":[103],"containing":[104],"small":[105],"regions":[106],"high":[108],"curvature,":[109],"and":[110,136],"proceed":[111],"investigate":[113],"profile":[118],"contains":[120],"corner.":[122],"show":[124],"corner":[127],"not":[129],"smoothed":[130],"out":[131],"but":[132],"persists":[133],"for":[134],"forward":[135],"inverse":[137],"The":[139],"introduction":[140],"pressure":[143],"across":[145],"free":[147],"surfaces":[148],"shown":[150],"provide":[152],"method":[154],"controlling":[156],"evolution.":[159]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
