{"id":"https://openalex.org/W1973802752","doi":"https://doi.org/10.1137/120872012","title":"Exponential Asymptotics for Thin Film Rupture","display_name":"Exponential Asymptotics for Thin Film Rupture","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1973802752","doi":"https://doi.org/10.1137/120872012","mag":"1973802752"},"language":"en","primary_location":{"id":"doi:10.1137/120872012","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120872012","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/A5081545907","display_name":"S. Jonathan Chapman","orcid":"https://orcid.org/0000-0003-3347-6024"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Jonathan Chapman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070246008","display_name":"Philippe H. Trinh","orcid":"https://orcid.org/0000-0003-3227-1844"},"institutions":[{"id":"https://openalex.org/I1299528221","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842","country_code":"GB","type":"government","lineage":["https://openalex.org/I1299528221","https://openalex.org/I4210087105"]},{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Philippe H. Trinh","raw_affiliation_strings":["EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)","institution_ids":["https://openalex.org/I1299528221","https://openalex.org/I4210131439"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053976950","display_name":"Thomas P. Witelski","orcid":"https://orcid.org/0000-0003-0789-9859"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas P. Witelski","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1164,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.8549826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"73","issue":"1","first_page":"232","last_page":"253"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","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/T12141","display_name":"Fluid Dynamics and Thin Films","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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9972000122070312,"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9861000180244446,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.7703247666358948},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.6338147521018982},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6136942505836487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5583827495574951},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5491306781768799},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5195937156677246},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4562666416168213},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42346829175949097},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21212315559387207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1496461033821106}],"concepts":[{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.7703247666358948},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.6338147521018982},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6136942505836487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5583827495574951},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5491306781768799},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5195937156677246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4562666416168213},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42346829175949097},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21212315559387207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1496461033821106},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/120872012","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120872012","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:3994b669-c040-4b06-9543-0d25e2ce7088","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:3994b669-c040-4b06-9543-0d25e2ce7088","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W80544570","https://openalex.org/W162784614","https://openalex.org/W181301001","https://openalex.org/W1500799800","https://openalex.org/W1510464068","https://openalex.org/W1599623497","https://openalex.org/W1965209360","https://openalex.org/W1971723555","https://openalex.org/W1971892010","https://openalex.org/W1985806254","https://openalex.org/W1989324532","https://openalex.org/W2012384528","https://openalex.org/W2017596211","https://openalex.org/W2019549714","https://openalex.org/W2025355040","https://openalex.org/W2039474689","https://openalex.org/W2051865325","https://openalex.org/W2063629955","https://openalex.org/W2076068357","https://openalex.org/W2100307899","https://openalex.org/W2115661699","https://openalex.org/W2115890772","https://openalex.org/W2125282863","https://openalex.org/W2126488447","https://openalex.org/W2134943453","https://openalex.org/W2150588152","https://openalex.org/W2171118741","https://openalex.org/W2526783301"],"related_works":["https://openalex.org/W4245687327","https://openalex.org/W2112549839","https://openalex.org/W4254637135","https://openalex.org/W2905483137","https://openalex.org/W3034896902","https://openalex.org/W581800798","https://openalex.org/W3207307312","https://openalex.org/W2282634062","https://openalex.org/W4385775167","https://openalex.org/W4205839918"],"abstract_inverted_index":{"The":[0],"formation":[1],"of":[2,6,23,27,41,47,50,89,95],"singularities":[3],"in":[4,76],"models":[5],"many":[7],"physical":[8],"systems":[9],"can":[10],"be":[11],"described":[12],"using":[13],"self-similar":[14,58],"solutions.":[15],"One":[16],"particular":[17],"example":[18],"is":[19],"the":[20,39,51,57,81,86,93],"finite-time":[21],"rupture":[22],"a":[24,32,42],"thin":[25],"film":[26],"viscous":[28],"fluid":[29],"which":[30,55],"coats":[31],"solid":[33],"substrate.":[34],"Previous":[35],"studies":[36],"have":[37],"suggested":[38],"existence":[40],"discrete,":[43],"countably":[44],"infinite":[45,87],"number":[46],"distinct":[48],"solutions":[49,67],"nonlinear":[52],"differential":[53],"equation":[54],"describes":[56],"behavior.":[59],"However,":[60],"no":[61],"analytical":[62,82],"mechanism":[63],"for":[64,85],"determining":[65],"these":[66],"was":[68],"identified.":[69],"In":[70],"this":[71],"paper,":[72],"we":[73],"use":[74],"techniques":[75],"exponential":[77],"asymptotics":[78],"to":[79],"construct":[80],"selection":[83],"condition":[84],"sequence":[88],"similarity":[90],"solutions,":[91],"confirming":[92],"conjectures":[94],"earlier":[96],"numerical":[97],"studies.":[98]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}