{"id":"https://openalex.org/W2125282863","doi":"https://doi.org/10.1137/s003613990038116x","title":"Exponential Asymptotics and Capillary Waves","display_name":"Exponential Asymptotics and Capillary Waves","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2125282863","doi":"https://doi.org/10.1137/s003613990038116x","mag":"2125282863"},"language":"en","primary_location":{"id":"doi:10.1137/s003613990038116x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003613990038116x","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/A5120392756","display_name":"Jules Vandenbroeck","orcid":"https://orcid.org/0009-0004-6141-3404"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. M. Vanden-Broeck","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","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. J. Chapman","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5120392756"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3561,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.62300342,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"62","issue":"6","first_page":"1872","last_page":"1898"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10647","display_name":"Coastal and Marine Dynamics","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9810000061988831,"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/free-surface","display_name":"Free surface","score":0.6165088415145874},{"id":"https://openalex.org/keywords/capillary-wave","display_name":"Capillary wave","score":0.5968855023384094},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5793806314468384},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5648922920227051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5561050772666931},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.5424533486366272},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5293477177619934},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5014574527740479},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5008542537689209},{"id":"https://openalex.org/keywords/surface-tension","display_name":"Surface tension","score":0.4974811375141144},{"id":"https://openalex.org/keywords/capillary-action","display_name":"Capillary action","score":0.4793306589126587},{"id":"https://openalex.org/keywords/potential-flow","display_name":"Potential flow","score":0.433474600315094},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.42429131269454956},{"id":"https://openalex.org/keywords/equipotential","display_name":"Equipotential","score":0.4127737879753113},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35722124576568604},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.34172022342681885},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28619909286499023},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.10096028447151184}],"concepts":[{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.6165088415145874},{"id":"https://openalex.org/C7982388","wikidata":"https://www.wikidata.org/wiki/Q15143885","display_name":"Capillary wave","level":3,"score":0.5968855023384094},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5793806314468384},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5648922920227051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5561050772666931},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5424533486366272},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5293477177619934},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5014574527740479},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5008542537689209},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.4974811375141144},{"id":"https://openalex.org/C196806460","wikidata":"https://www.wikidata.org/wiki/Q188603","display_name":"Capillary action","level":2,"score":0.4793306589126587},{"id":"https://openalex.org/C131043120","wikidata":"https://www.wikidata.org/wiki/Q1543991","display_name":"Potential flow","level":2,"score":0.433474600315094},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.42429131269454956},{"id":"https://openalex.org/C84130051","wikidata":"https://www.wikidata.org/wiki/Q3175077","display_name":"Equipotential","level":2,"score":0.4127737879753113},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35722124576568604},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34172022342681885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28619909286499023},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.10096028447151184},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s003613990038116x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003613990038116x","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:09cda011-3106-4244-be7e-199e293975a9","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:09cda011-3106-4244-be7e-199e293975a9","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"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:291fbc38-1068-460e-9dc8-3ba59abb3c7c","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:291fbc38-1068-460e-9dc8-3ba59abb3c7c","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":"http://eprints.maths.ox.ac.uk/607","raw_type":"Journal article"},{"id":"pmh:uuid:291fbc38-1068-460e-9dc8-3ba59abb3c7c","is_oa":false,"landing_page_url":"http://www.siam.org/journals/siap/62-6/38116.html","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":"http://eprints.maths.ox.ac.uk/607","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.550000011920929,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1971892010","https://openalex.org/W1983031318","https://openalex.org/W1985173721","https://openalex.org/W2003284749","https://openalex.org/W2003467148","https://openalex.org/W2012384528","https://openalex.org/W2013013264","https://openalex.org/W2069098156","https://openalex.org/W2115890772","https://openalex.org/W2134943453","https://openalex.org/W2139131426","https://openalex.org/W2150741428","https://openalex.org/W2160706641","https://openalex.org/W2486237052","https://openalex.org/W2526783301","https://openalex.org/W4238863169"],"related_works":["https://openalex.org/W2200791426","https://openalex.org/W2006150625","https://openalex.org/W4387687709","https://openalex.org/W3159082188","https://openalex.org/W4253423665","https://openalex.org/W1912670706","https://openalex.org/W2300744750","https://openalex.org/W2130356996","https://openalex.org/W2474339589","https://openalex.org/W2185398922"],"abstract_inverted_index":{"Recently":[0],"developed":[1],"techniques":[2],"in":[3,25,48],"exponential":[4],"asymptotics":[5],"beyond":[6],"all":[7],"orders":[8],"are":[9,34,69,79],"employed":[10],"on":[11,39],"the":[12,26,40,44,49,67,85,113],"problem":[13,87],"of":[14,28,61,84,112],"potential":[15],"flows":[16],"with":[17],"a":[18,91,98],"free":[19,41],"surface":[20,23,42,114],"and":[21,55,66,94,101],"small":[22,31],"tension,":[24],"absence":[27],"gravity.":[29],"Exponentially":[30],"capillary":[32],"waves":[33,63],"found":[35],"to":[36,81],"be":[37],"generated":[38],"where":[43],"equipotentials":[45],"from":[46],"singularities":[47],"flow":[50,89,96],"(for":[51],"example,":[52],"stagnation":[53],"points":[54],"corners)":[56],"meet":[57],"it.":[58],"The":[59,76],"amplitude":[60],"these":[62],"is":[64],"determined,":[65],"implications":[68],"considered":[70],"for":[71,88,95,108],"many":[72],"quite":[73,109],"general":[74],"flows.":[75],"asymptotic":[77],"results":[78],"compared":[80],"numerical":[82],"simulations":[83],"full":[86],"over":[90],"polygonal":[92],"plough":[93],"round":[97],"right-angled":[99],"corner,":[100],"they":[102],"show":[103],"remarkably":[104],"good":[105],"agreement,":[106],"even":[107],"large":[110],"values":[111],"tension":[115],"parameter.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}