{"id":"https://openalex.org/W4410144922","doi":"https://doi.org/10.3934/nhm.2025019","title":"Frequency-dependent damping in the linear wave equation","display_name":"Frequency-dependent damping in the linear wave equation","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4410144922","doi":"https://doi.org/10.3934/nhm.2025019"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2025019","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2025019","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/nhm.2025019","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044061913","display_name":"Francesco Maddalena","orcid":"https://orcid.org/0000-0001-6246-8870"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Francesco Maddalena","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077087790","display_name":"Gianluca Orlando","orcid":"https://orcid.org/0000-0002-8283-4804"},"institutions":[{"id":"https://openalex.org/I68618741","display_name":"Polytechnic University of Bari","ror":"https://ror.org/03c44v465","country_code":"IT","type":"education","lineage":["https://openalex.org/I68618741"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianluca Orlando","raw_affiliation_strings":["Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via E. Orabona 4, I\u201370125 Bari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via E. Orabona 4, I\u201370125 Bari, Italy","institution_ids":["https://openalex.org/I68618741"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044061913"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09929646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"2","first_page":"406","last_page":"427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/wave-equation","display_name":"Wave equation","score":0.5355109572410583},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5176363587379456},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5131409764289856},{"id":"https://openalex.org/keywords/damped-wave","display_name":"Damped wave","score":0.48777109384536743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3719541132450104},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3660619854927063}],"concepts":[{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5355109572410583},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5176363587379456},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5131409764289856},{"id":"https://openalex.org/C66908091","wikidata":"https://www.wikidata.org/wiki/Q1127660","display_name":"Damped wave","level":3,"score":0.48777109384536743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3719541132450104},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3660619854927063}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3934/nhm.2025019","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2025019","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7090b44c3d6e4a7f987fc1b06206aabd","is_oa":false,"landing_page_url":"https://doaj.org/article/7090b44c3d6e4a7f987fc1b06206aabd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Networks and Heterogeneous Media, Vol 20, Iss 2, Pp 406-427 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2025019","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2025019","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W41335865","https://openalex.org/W1494596116","https://openalex.org/W2001859671","https://openalex.org/W2066554427","https://openalex.org/W2140095533","https://openalex.org/W2257900693","https://openalex.org/W2782293510","https://openalex.org/W2791852163","https://openalex.org/W2963502436","https://openalex.org/W3095419818","https://openalex.org/W3110799203","https://openalex.org/W3209114057","https://openalex.org/W4206952039","https://openalex.org/W4245430914","https://openalex.org/W4311910669","https://openalex.org/W4393094291","https://openalex.org/W4406774178"],"related_works":["https://openalex.org/W1981200353","https://openalex.org/W2171514244","https://openalex.org/W2009802784","https://openalex.org/W2144189745","https://openalex.org/W3202824093","https://openalex.org/W2033234086","https://openalex.org/W4381378370","https://openalex.org/W2081786508","https://openalex.org/W4221141490","https://openalex.org/W4226186576"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,51,54],"model":[3],"for":[4,34],"frequency-dependent":[5],"damping":[6,39],"in":[7,44],"the":[8,16,23,26,38],"linear":[9],"wave":[10],"equation.":[11],"After":[12],"proving":[13],"well-posedness":[14],"of":[15,22,37],"problem,":[17],"we":[18,29,42],"study":[19],"qualitative":[20],"properties":[21],"energy.":[24],"In":[25],"one-dimensional":[27],"case,":[28],"provide":[30],"an":[31],"explicit":[32],"analysis":[33],"special":[35,45],"choices":[36],"operator.":[40],"Finally,":[41],"show,":[43],"cases,":[46],"that":[47],"solutions":[48],"split":[49],"into":[50],"dissipative":[52],"and":[53],"conservative":[55],"part.":[56]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
