{"id":"https://openalex.org/W1648231202","doi":"https://doi.org/10.3233/asy-141264","title":"Effective equation for a system of mechanical oscillators in an acoustic field","display_name":"Effective equation for a system of mechanical oscillators in an acoustic field","publication_year":2015,"publication_date":"2015-03-01","ids":{"openalex":"https://openalex.org/W1648231202","doi":"https://doi.org/10.3233/asy-141264","mag":"1648231202"},"language":"en","primary_location":{"id":"doi:10.3233/asy-141264","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141264","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1207.5676","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047568596","display_name":"Claudio Cacciapuoti","orcid":"https://orcid.org/0000-0002-7256-4265"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]},{"id":"https://openalex.org/I4391767997","display_name":"Hausdorff Center for Mathematics","ror":"https://ror.org/032n1tr36","country_code":"DE","type":"facility","lineage":["https://openalex.org/I135140700","https://openalex.org/I4391767997"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Claudio Cacciapuoti","raw_affiliation_strings":["Hausdorff Center for Mathematics, Institute for Applied Mathematics, Bonn Universit\u00e4t, Bonn, Germany. E-mail: claudio.cacciapuoti@uninsubria.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hausdorff Center for Mathematics, Institute for Applied Mathematics, Bonn Universit\u00e4t, Bonn, Germany. E-mail: claudio.cacciapuoti@uninsubria.it","institution_ids":["https://openalex.org/I135140700","https://openalex.org/I4391767997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014089968","display_name":"Rodolfo Figari","orcid":"https://orcid.org/0000-0003-0841-1421"},"institutions":[{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"funder","lineage":["https://openalex.org/I160013858"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Rodolfo Figari","raw_affiliation_strings":["Dipartimento di Scienze Fisiche, Universit\u00e0 di Napoli Federico II, Napoli, Italy","Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Napoli, Italy. E-mail: figari@na.infn.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Fisiche, Universit\u00e0 di Napoli Federico II, Napoli, Italy","institution_ids":[]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Napoli, Italy. E-mail: figari@na.infn.it","institution_ids":["https://openalex.org/I160013858"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034542231","display_name":"Andrea Posilicano","orcid":"https://orcid.org/0000-0002-9273-1892"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Posilicano","raw_affiliation_strings":["Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell'Insubria, Como, Italy. E-mail: posilicano@uninsubria.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell'Insubria, Como, Italy. E-mail: posilicano@uninsubria.it","institution_ids":["https://openalex.org/I115752224"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047568596"],"corresponding_institution_ids":["https://openalex.org/I135140700","https://openalex.org/I4391767997"],"apc_list":null,"apc_paid":null,"fwci":0.3634,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6370261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"91","issue":"3-4","first_page":"253","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6722829341888428},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6632671356201172},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6429893970489502},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5095070004463196},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5007591247558594},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.49843811988830566},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4659522473812103},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4444769322872162},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4319995045661926},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.41703522205352783},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.39673012495040894}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6722829341888428},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6632671356201172},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6429893970489502},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5095070004463196},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5007591247558594},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49843811988830566},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4659522473812103},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4444769322872162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4319995045661926},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41703522205352783},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.39673012495040894},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3233/asy-141264","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141264","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1207.5676","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.5676","pdf_url":"https://arxiv.org/pdf/1207.5676","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.747.7814","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.747.7814","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1207.5676.pdf","raw_type":"text"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/2043590","is_oa":false,"landing_page_url":"http://hdl.handle.net/11383/2043590","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1207.5676","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.5676","pdf_url":"https://arxiv.org/pdf/1207.5676","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":16,"referenced_works":["https://openalex.org/W414090683","https://openalex.org/W1516587486","https://openalex.org/W1524052396","https://openalex.org/W1533883395","https://openalex.org/W1777982307","https://openalex.org/W1998691978","https://openalex.org/W2004625675","https://openalex.org/W2017295671","https://openalex.org/W2022963282","https://openalex.org/W2040504271","https://openalex.org/W2040834354","https://openalex.org/W2051087909","https://openalex.org/W2053439246","https://openalex.org/W2065600134","https://openalex.org/W2073078790","https://openalex.org/W2144883752"],"related_works":["https://openalex.org/W1984112382","https://openalex.org/W2999616507","https://openalex.org/W2196719869","https://openalex.org/W2043504415","https://openalex.org/W2366707633","https://openalex.org/W3098963165","https://openalex.org/W4392238179","https://openalex.org/W2351598138","https://openalex.org/W2383670416","https://openalex.org/W3164276969"],"abstract_inverted_index":{"We":[0,20],"consider":[1],"a":[2,15,43],"one-dimensional":[3],"evolution":[4,38],"problem":[5],"modeling":[6],"the":[7,24,37,40],"dynamics":[8],"of":[9,17,23,26,42,46],"an":[10],"acoustic":[11],"field":[12],"coupled":[13],"with":[14,32],"set":[16],"mechanical":[18],"oscillators.":[19,47],"analyze":[21],"solutions":[22],"system":[25],"ordinary":[27],"and":[28],"partial":[29],"differential":[30],"equations":[31],"time-dependent":[33],"boundary":[34],"conditions":[35],"describing":[36],"in":[39],"limit":[41],"continuous":[44],"distribution":[45]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-10-10T00:00:00"}