{"id":"https://openalex.org/W4404830916","doi":"https://doi.org/10.1007/s00498-024-00404-6","title":"Rotational shallow water equations with viscous damping and boundary control: structure-preserving spatial discretization","display_name":"Rotational shallow water equations with viscous damping and boundary control: structure-preserving spatial discretization","publication_year":2024,"publication_date":"2024-11-28","ids":{"openalex":"https://openalex.org/W4404830916","doi":"https://doi.org/10.1007/s00498-024-00404-6"},"language":"en","primary_location":{"id":"doi:10.1007/s00498-024-00404-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00498-024-00404-6","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04828395v1/file/17272-Cardoso_17263.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062148476","display_name":"Fl\u00e1vio Luiz Cardoso-Ribeiro","orcid":"https://orcid.org/0000-0002-6454-9671"},"institutions":[{"id":"https://openalex.org/I107428990","display_name":"Instituto Tecnol\u00f3gico de Aeron\u00e1utica","ror":"https://ror.org/05vh67662","country_code":"BR","type":"education","lineage":["https://openalex.org/I107428990"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Fl\u00e1vio Luiz Cardoso-Ribeiro","raw_affiliation_strings":["Divis\u00e3o de Engenharia Aeron\u00e1utica e Aeroespacial, Instituto Tecnol\u00f3gico de Aeron\u00e1utica, S\u00e3o Jos\u00e9 dos Campos, Brazil","ITA - Instituto Tecnol\u00f3gico de Aeron\u00e1utica [S\u00e3o Jos\u00e9 dos Campos] (Brazil)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Divis\u00e3o de Engenharia Aeron\u00e1utica e Aeroespacial, Instituto Tecnol\u00f3gico de Aeron\u00e1utica, S\u00e3o Jos\u00e9 dos Campos, Brazil","institution_ids":["https://openalex.org/I107428990"]},{"raw_affiliation_string":"ITA - Instituto Tecnol\u00f3gico de Aeron\u00e1utica [S\u00e3o Jos\u00e9 dos Campos] (Brazil)","institution_ids":["https://openalex.org/I107428990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059321488","display_name":"Ghislain Haine","orcid":"https://orcid.org/0000-0003-1550-1601"},"institutions":[{"id":"https://openalex.org/I100296615","display_name":"\u00c9cole Nationale de l\u2019Aviation Civile","ror":"https://ror.org/022zdgq74","country_code":"FR","type":"education","lineage":["https://openalex.org/I100296615"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]},{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ghislain Haine","raw_affiliation_strings":["F\u00e9d\u00e9ration ENAC ISAE-SUPAERO ONERA, Universit\u00e9 de Toulouse, Toulouse, France","F\u00e9d\u00e9ration ENAC ISAE-SUPAERO ONERA (31000 Toulouse - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"F\u00e9d\u00e9ration ENAC ISAE-SUPAERO ONERA, Universit\u00e9 de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I100296615","https://openalex.org/I17866349","https://openalex.org/I193033237","https://openalex.org/I2801658355"]},{"raw_affiliation_string":"F\u00e9d\u00e9ration ENAC ISAE-SUPAERO ONERA (31000 Toulouse - France)","institution_ids":["https://openalex.org/I100296615","https://openalex.org/I193033237","https://openalex.org/I2801658355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086221846","display_name":"Laurent Lef\u00e8vre","orcid":"https://orcid.org/0000-0002-5496-5882"},"institutions":[{"id":"https://openalex.org/I4210145979","display_name":"Laboratoire de Conception et d'Int\u00e9gration des Syst\u00e8mes","ror":"https://ror.org/04eg25g76","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I4210145979","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Lef\u00e8vre","raw_affiliation_strings":["Laboratoire de Conception et d\u2019Int\u00e9gration des Syst\u00e8mes (LCIS), Univ. Grenoble Alpes, Grenoble INP, Valence, France","LCIS - Laboratoire de Conception et d'Int\u00e9gration des Syst\u00e8mes (50, rue Barth\u00e9l\u00e9my de Laffemas \r\nBP54 \r\n26902 VALENCE \r\nCedex 09 France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Conception et d\u2019Int\u00e9gration des Syst\u00e8mes (LCIS), Univ. Grenoble Alpes, Grenoble INP, Valence, France","institution_ids":["https://openalex.org/I4210145979","https://openalex.org/I899635006"]},{"raw_affiliation_string":"LCIS - Laboratoire de Conception et d'Int\u00e9gration des Syst\u00e8mes (50, rue Barth\u00e9l\u00e9my de Laffemas \r\nBP54 \r\n26902 VALENCE \r\nCedex 09 France - France)","institution_ids":["https://openalex.org/I4210145979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023725587","display_name":"Denis Matignon","orcid":"https://orcid.org/0000-0002-0729-4609"},"institutions":[{"id":"https://openalex.org/I100296615","display_name":"\u00c9cole Nationale de l\u2019Aviation Civile","ror":"https://ror.org/022zdgq74","country_code":"FR","type":"education","lineage":["https://openalex.org/I100296615"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]},{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Denis Matignon","raw_affiliation_strings":["F\u00e9d\u00e9ration ENAC ISAE-SUPAERO ONERA, Universit\u00e9 de Toulouse, Toulouse, France","F\u00e9d\u00e9ration ENAC ISAE-SUPAERO ONERA (31000 Toulouse - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"F\u00e9d\u00e9ration ENAC ISAE-SUPAERO ONERA, Universit\u00e9 de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I100296615","https://openalex.org/I17866349","https://openalex.org/I193033237","https://openalex.org/I2801658355"]},{"raw_affiliation_string":"F\u00e9d\u00e9ration ENAC ISAE-SUPAERO ONERA (31000 Toulouse - France)","institution_ids":["https://openalex.org/I100296615","https://openalex.org/I193033237","https://openalex.org/I2801658355"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5062148476"],"corresponding_institution_ids":["https://openalex.org/I107428990"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.1751,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46499091,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"37","issue":"2","first_page":"361","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9994999766349792,"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/T11416","display_name":"Numerical methods for differential equations","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9969000220298767,"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/discretization","display_name":"Discretization","score":0.8650234937667847},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6704457998275757},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.5831720232963562},{"id":"https://openalex.org/keywords/waves-and-shallow-water","display_name":"Waves and shallow water","score":0.5750178098678589},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5701450705528259},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5685350894927979},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.536505937576294},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4835069477558136},{"id":"https://openalex.org/keywords/viscous-damping","display_name":"Viscous damping","score":0.42254838347435},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15719673037528992},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.15302473306655884}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8650234937667847},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6704457998275757},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.5831720232963562},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.5750178098678589},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5701450705528259},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5685350894927979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.536505937576294},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4835069477558136},{"id":"https://openalex.org/C2989485891","wikidata":"https://www.wikidata.org/wiki/Q56291844","display_name":"Viscous damping","level":3,"score":0.42254838347435},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15719673037528992},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.15302473306655884},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00498-024-00404-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00498-024-00404-6","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04828395v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04828395","pdf_url":"https://hal.science/hal-04828395v1/file/17272-Cardoso_17263.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics of Control, Signals, and Systems, 2024, ⟨10.1007/s00498-024-00404-6⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-04835390v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04835390","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics of Control, Signals, and Systems, 2024, ⟨10.1007/s00498-024-00404-6⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04828395v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04828395","pdf_url":"https://hal.science/hal-04828395v1/file/17272-Cardoso_17263.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics of Control, Signals, and Systems, 2024, ⟨10.1007/s00498-024-00404-6⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G1883689066","display_name":null,"funder_award_id":"88887.717002/2022-00","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G7600913618","display_name":"Implicit port Hamiltonian control systems","funder_award_id":"ANR-21-CE48-0018","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404830916.pdf","grobid_xml":"https://content.openalex.org/works/W4404830916.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W581329602","https://openalex.org/W616225202","https://openalex.org/W1526120274","https://openalex.org/W1966035457","https://openalex.org/W1988644412","https://openalex.org/W2000044714","https://openalex.org/W2007717396","https://openalex.org/W2007819189","https://openalex.org/W2018233425","https://openalex.org/W2064433243","https://openalex.org/W2067693029","https://openalex.org/W2071447029","https://openalex.org/W2074329966","https://openalex.org/W2083341006","https://openalex.org/W2096876511","https://openalex.org/W2098524333","https://openalex.org/W2138486270","https://openalex.org/W2143964084","https://openalex.org/W2163814295","https://openalex.org/W2170448165","https://openalex.org/W2265911804","https://openalex.org/W2572383144","https://openalex.org/W2581939987","https://openalex.org/W2723364022","https://openalex.org/W2804546542","https://openalex.org/W2893737542","https://openalex.org/W2895839777","https://openalex.org/W2949109868","https://openalex.org/W2968560969","https://openalex.org/W3007241561","https://openalex.org/W3014592032","https://openalex.org/W3037996602","https://openalex.org/W3045845730","https://openalex.org/W3134999641","https://openalex.org/W3158646738","https://openalex.org/W3204908237","https://openalex.org/W3216344734","https://openalex.org/W4230467322","https://openalex.org/W4235094606","https://openalex.org/W4292170110","https://openalex.org/W4294237575","https://openalex.org/W4323042970","https://openalex.org/W4376137587","https://openalex.org/W4376144221","https://openalex.org/W4378908606","https://openalex.org/W4385434765","https://openalex.org/W4388680399","https://openalex.org/W4402836768"],"related_works":["https://openalex.org/W2555668256","https://openalex.org/W2137218730","https://openalex.org/W4393303787","https://openalex.org/W2355792449","https://openalex.org/W3097780762","https://openalex.org/W2383508802","https://openalex.org/W2031283907","https://openalex.org/W2081614800","https://openalex.org/W3120568560","https://openalex.org/W2503622847"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}