{"id":"https://openalex.org/W2089839133","doi":"https://doi.org/10.1155/2007/80205","title":"Waves Trapped by Submerged Obstacles at High Frequencies","display_name":"Waves Trapped by Submerged Obstacles at High Frequencies","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2089839133","doi":"https://doi.org/10.1155/2007/80205","mag":"2089839133"},"language":"en","primary_location":{"id":"doi:10.1155/2007/80205","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/80205","pdf_url":"https://downloads.hindawi.com/journals/jam/2007/080205.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2007/080205.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"A. M. Mar\u00edn","orcid":null},"institutions":[{"id":"https://openalex.org/I153390918","display_name":"University of Cartagena","ror":"https://ror.org/0409zd934","country_code":"CO","type":"education","lineage":["https://openalex.org/I153390918"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"A. M. Mar\u00edn","raw_affiliation_strings":["Instituto de Matem\u00e1ticas Aplicadas, Universidad de Cartagena, Sede Piedra de Bol\u00edvar, Cartagena de Indias, Bol\u00edvar, Colombia"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas Aplicadas, Universidad de Cartagena, Sede Piedra de Bol\u00edvar, Cartagena de Indias, Bol\u00edvar, Colombia","institution_ids":["https://openalex.org/I153390918"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084808627","display_name":"Ruben-Dario Ortiz-Ortiz","orcid":"https://orcid.org/0000-0001-7537-4785"},"institutions":[{"id":"https://openalex.org/I153390918","display_name":"University of Cartagena","ror":"https://ror.org/0409zd934","country_code":"CO","type":"education","lineage":["https://openalex.org/I153390918"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"R. D. Ort\u00edz","raw_affiliation_strings":["Instituto de Matem\u00e1ticas Aplicadas, Universidad de Cartagena, Sede Piedra de Bol\u00edvar, Cartagena de Indias, Bol\u00edvar, Colombia"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas Aplicadas, Universidad de Cartagena, Sede Piedra de Bol\u00edvar, Cartagena de Indias, Bol\u00edvar, Colombia","institution_ids":["https://openalex.org/I153390918"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044033525","display_name":"P. Zhevandrov","orcid":"https://orcid.org/0000-0001-8020-9688"},"institutions":[{"id":"https://openalex.org/I157650460","display_name":"Universidad de La Sabana","ror":"https://ror.org/02sqgkj21","country_code":"CO","type":"education","lineage":["https://openalex.org/I157650460"]},{"id":"https://openalex.org/I173755004","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074","country_code":"MX","type":"education","lineage":["https://openalex.org/I173755004"]}],"countries":["CO","MX"],"is_corresponding":false,"raw_author_name":"P. Zhevandrov","raw_affiliation_strings":["Facultad de Ciencias F\u00edsico-Matem\u00e1ticas, Universidad Michoacana, Edificio B, Ciudad Universitaria, Morelia, Michoac\u00e1n 58060, Mexico","Facultad de Ingenier\u00eda, Universidad de la Sabana, Campus Puente del Com\u00fan, Km. 21 Autopista Norte, Ch\u00eda, Cundinamarca, Colombia"],"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias F\u00edsico-Matem\u00e1ticas, Universidad Michoacana, Edificio B, Ciudad Universitaria, Morelia, Michoac\u00e1n 58060, Mexico","institution_ids":["https://openalex.org/I173755004"]},{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad de la Sabana, Campus Puente del Com\u00fan, Km. 21 Autopista Norte, Ch\u00eda, Cundinamarca, Colombia","institution_ids":["https://openalex.org/I157650460"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I153390918"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.4351,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62437018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2007","issue":null,"first_page":"1","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4813604950904846},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.44040533900260925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36792653799057007},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3248596787452698},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1395052969455719}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4813604950904846},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.44040533900260925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36792653799057007},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3248596787452698},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1395052969455719}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2007/80205","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/80205","pdf_url":"https://downloads.hindawi.com/journals/jam/2007/080205.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1204126687","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1204126687","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:080205","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2007/080205.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:f44b60808d82424eb42d80f14d78c226","is_oa":true,"landing_page_url":"https://doaj.org/article/f44b60808d82424eb42d80f14d78c226","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2007 (2007)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2007/80205","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/80205","pdf_url":"https://downloads.hindawi.com/journals/jam/2007/080205.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320322900","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074"},{"id":"https://openalex.org/F4320335175","display_name":"Coordinaci\u00f3n de la Investigaci\u00f3n Cient\u00edfica","ror":"https://ror.org/01tmp8f25"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2089839133.pdf","grobid_xml":"https://content.openalex.org/works/W2089839133.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W20212426","https://openalex.org/W1566657275","https://openalex.org/W1576966394","https://openalex.org/W1966881769","https://openalex.org/W1975335341","https://openalex.org/W1978912560","https://openalex.org/W2006718018","https://openalex.org/W2066225405","https://openalex.org/W3147911184","https://openalex.org/W4231306628"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049"],"abstract_inverted_index":{"As":[0],"is":[1,29],"well":[2],"known,":[3],"submerged":[4,53],"horizontal":[5],"cylinders":[6,54],"can":[7],"serve":[8],"as":[9],"waveguides":[10],"for":[11],"surface":[12],"water":[13],"waves.":[14],"For":[15],"large":[16],"values":[17],"of":[18,25,37,49,57,65],"the":[19,23,26,47,59,69],"wavenumber<mml:math":[20],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[21,45],"id=\"E1\"><mml:mi>k</mml:mi></mml:math>in":[22],"direction":[24],"cylinders,":[27],"there":[28],"only":[30],"one":[31,50],"trapped":[32,39],"wave.":[33],"We":[34],"construct":[35],"asymptotics":[36],"these":[38],"modes":[40],"and":[41,71,81],"their":[42],"frequencies":[43],"as<mml:math":[44],"id=\"E2\"><mml:mrow><mml:mi>k</mml:mi><mml:mo>\u2192</mml:mo><mml:mi>\u221e</mml:mi></mml:mrow></mml:math>in":[46],"case":[48],"or":[51],"two":[52],"by":[55,79],"means":[56],"reducing":[58],"initial":[60],"problem":[61],"to":[62],"a":[63,76],"system":[64],"integral":[66],"equations":[67],"on":[68],"boundaries":[70],"then":[72],"solving":[73],"them":[74],"using":[75],"technique":[77],"suggested":[78],"Zhevandrov":[80],"Merzon":[82],"(2003).":[83]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}