{"id":"https://openalex.org/W3165339258","doi":"https://doi.org/10.1007/s00332-021-09726-0","title":"Hamiltonian Aspects of Three-Layer Stratified Fluids","display_name":"Hamiltonian Aspects of Three-Layer Stratified Fluids","publication_year":2021,"publication_date":"2021-06-16","ids":{"openalex":"https://openalex.org/W3165339258","doi":"https://doi.org/10.1007/s00332-021-09726-0","mag":"3165339258"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-021-09726-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-021-09726-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-021-09726-0.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00332-021-09726-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"R. Camassa","orcid":null},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. Camassa","raw_affiliation_strings":["Department of Mathematics, Carolina Center for Interdisciplinary Applied Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carolina Center for Interdisciplinary Applied Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":null,"display_name":"G. Falqui","orcid":null},"institutions":[{"id":"https://openalex.org/I4210140564","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca","ror":"https://ror.org/03xejxm22","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210140564"]},{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Falqui","raw_affiliation_strings":["Department of Mathematics and its Applications, University of Milano-Bicocca, Via Roberto Cozzi 55, 20125, Milano, Italy","INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, 20126, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and its Applications, University of Milano-Bicocca, Via Roberto Cozzi 55, 20125, Milano, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, 20126, Milano, Italy","institution_ids":["https://openalex.org/I4210140564"]}]},{"author_position":"middle","author":{"id":null,"display_name":"G. Ortenzi","orcid":"https://orcid.org/0000-0003-2192-6737"},"institutions":[{"id":"https://openalex.org/I4210140564","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca","ror":"https://ror.org/03xejxm22","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210140564"]},{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Ortenzi","raw_affiliation_strings":["Department of Mathematics and its Applications, University of Milano-Bicocca, Via Roberto Cozzi 55, 20125, Milano, Italy","INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, 20126, Milano, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2192-6737","affiliations":[{"raw_affiliation_string":"Department of Mathematics and its Applications, University of Milano-Bicocca, Via Roberto Cozzi 55, 20125, Milano, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, 20126, Milano, Italy","institution_ids":["https://openalex.org/I4210140564"]}]},{"author_position":"middle","author":{"id":null,"display_name":"M. Pedroni","orcid":null},"institutions":[{"id":"https://openalex.org/I11039511","display_name":"University of Bergamo","ror":"https://ror.org/02mbd5571","country_code":"IT","type":"education","lineage":["https://openalex.org/I11039511"]},{"id":"https://openalex.org/I4210140564","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca","ror":"https://ror.org/03xejxm22","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210140564"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Pedroni","raw_affiliation_strings":["Dipartimento di Ingegneria Gestionale, dell\u2019Informazione e della Produzione, Universit\u00e0 di Bergamo, Viale Marconi 5, 24044, Dalmine, BG, Italy","INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, 20126, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Gestionale, dell\u2019Informazione e della Produzione, Universit\u00e0 di Bergamo, Viale Marconi 5, 24044, Dalmine, BG, Italy","institution_ids":["https://openalex.org/I11039511"]},{"raw_affiliation_string":"INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, 20126, Milano, Italy","institution_ids":["https://openalex.org/I4210140564"]}]},{"author_position":"last","author":{"id":null,"display_name":"T. T. Vu Ho","orcid":null},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"T. T. Vu Ho","raw_affiliation_strings":["Department of Mathematics and its Applications, University of Milano-Bicocca, Via Roberto Cozzi 55, 20125, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and its Applications, University of Milano-Bicocca, Via Roberto Cozzi 55, 20125, Milano, Italy","institution_ids":["https://openalex.org/I66752286"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.9903,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7162279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"31","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.5440000295639038,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.5440000295639038,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":0.1746000051498413,"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"}},{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.03840000182390213,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5358999967575073},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.48339998722076416},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.4749000072479248},{"id":"https://openalex.org/keywords/stratification","display_name":"Stratification (seeds)","score":0.4596000015735626},{"id":"https://openalex.org/keywords/perfect-fluid","display_name":"Perfect fluid","score":0.4472000002861023},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.39010000228881836},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.3880000114440918},{"id":"https://openalex.org/keywords/covariant-hamiltonian-field-theory","display_name":"Covariant Hamiltonian field theory","score":0.328000009059906}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5378000140190125},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5358999967575073},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.48339998722076416},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.4749000072479248},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4607999920845032},{"id":"https://openalex.org/C192943249","wikidata":"https://www.wikidata.org/wiki/Q1893382","display_name":"Stratification (seeds)","level":5,"score":0.4596000015735626},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.44769999384880066},{"id":"https://openalex.org/C52220454","wikidata":"https://www.wikidata.org/wiki/Q613845","display_name":"Perfect fluid","level":2,"score":0.4472000002861023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4034000039100647},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3991999924182892},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.39010000228881836},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3880000114440918},{"id":"https://openalex.org/C109798219","wikidata":"https://www.wikidata.org/wiki/Q25304038","display_name":"Covariant Hamiltonian field theory","level":3,"score":0.328000009059906},{"id":"https://openalex.org/C2776310255","wikidata":"https://www.wikidata.org/wiki/Q25111163","display_name":"Stratified flow","level":3,"score":0.31520000100135803},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.3125},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.311599999666214},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.31060001254081726},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.3019999861717224},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C84229","wikidata":"https://www.wikidata.org/wiki/Q2116709","display_name":"Translational symmetry","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C30342001","wikidata":"https://www.wikidata.org/wiki/Q172280","display_name":"Ideal gas","level":2,"score":0.2685000002384186},{"id":"https://openalex.org/C43133876","wikidata":"https://www.wikidata.org/wiki/Q172145","display_name":"Fluid mechanics","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.25609999895095825}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00332-021-09726-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-021-09726-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-021-09726-0.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2105.12851","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.12851","pdf_url":"https://arxiv.org/pdf/2105.12851","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:aisberg.unibg.it:10446/200634","is_oa":true,"landing_page_url":"http://hdl.handle.net/10446/200634","pdf_url":null,"source":{"id":"https://openalex.org/S4377196347","display_name":"Aisberg (University of Bergamo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11039511","host_organization_name":"University of Bergamo","host_organization_lineage":["https://openalex.org/I11039511"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:boa.unimib.it:10281/318998","is_oa":true,"landing_page_url":"http://hdl.handle.net/10281/318998","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00332-021-09726-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-021-09726-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-021-09726-0.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1377155298","display_name":null,"funder_award_id":"N00014-18-1-2490","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G2032513337","display_name":null,"funder_award_id":"DMS-1009750","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G2983887294","display_name":"Fundamental Mathematical and Experimental Fluid Dynamics","funder_award_id":"1009750","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G304291057","display_name":null,"funder_award_id":"778010","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3120699348","display_name":null,"funder_award_id":"RTG DMS-0943851","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4025299300","display_name":null,"funder_award_id":"DMS-1009750","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4970466170","display_name":"A Combined Theoretical and Experimental Approach for Internal Wave Dynamics:  Coupling to Free Surface and Instabilities","funder_award_id":"1517879","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5511651896","display_name":"Integrable Partial Differential Equations: Geometry, Asymptotics, and Numerics.","funder_award_id":"778010","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G5914791344","display_name":null,"funder_award_id":"DMS-0943851","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6301260146","display_name":"\"CMG Research: Delayed Settling of Marine Snow Through Density Transitions and Consequences for the Ocean Carbon Cycle\"","funder_award_id":"1025523","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7172857755","display_name":null,"funder_award_id":"DMS-1517879","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7650245611","display_name":null,"funder_award_id":"CMG ARC-1025523","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7685818843","display_name":null,"funder_award_id":"N00014-12-1","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8074822591","display_name":null,"funder_award_id":"CMG ARC-1025523","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8867008708","display_name":null,"funder_award_id":"0943851","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8985110688","display_name":null,"funder_award_id":"DMS-1517879","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G900798740","display_name":null,"funder_award_id":"DURIP N00014-12-1-0749","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321610","display_name":"Universit\u00e0 degli Studi di Milano-Bicocca","ror":"https://ror.org/01ynf4891"},{"id":"https://openalex.org/F4320334080","display_name":"Gruppo Nazionale per la Fisica Matematica","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3165339258.pdf","grobid_xml":"https://content.openalex.org/works/W3165339258.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1532233816","https://openalex.org/W1603678174","https://openalex.org/W1970773819","https://openalex.org/W1972688082","https://openalex.org/W1975260938","https://openalex.org/W2000752083","https://openalex.org/W2002465910","https://openalex.org/W2003405066","https://openalex.org/W2014605738","https://openalex.org/W2043345822","https://openalex.org/W2052497704","https://openalex.org/W2056071888","https://openalex.org/W2056179097","https://openalex.org/W2060516029","https://openalex.org/W2063197195","https://openalex.org/W2072791360","https://openalex.org/W2077755964","https://openalex.org/W2094553410","https://openalex.org/W2099392098","https://openalex.org/W2103083566","https://openalex.org/W2107721397","https://openalex.org/W2114823144","https://openalex.org/W2121761467","https://openalex.org/W2125433961","https://openalex.org/W2145121432","https://openalex.org/W2312648240","https://openalex.org/W2392111020","https://openalex.org/W2563226006","https://openalex.org/W2903759772","https://openalex.org/W2932108151","https://openalex.org/W2963366101","https://openalex.org/W2989675198","https://openalex.org/W4255940269"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"The":[1,21,129,149],"theory":[2],"of":[3,31,47,79,101,131,155],"three-layer":[4,121],"density-stratified":[5],"ideal":[6],"fluids":[7],"is":[8,23,44,105,109,141],"examined":[9],"with":[10,62,68,123],"a":[11,32,45,63,69,88,153],"view":[12],"toward":[13],"its":[14],"generalization":[15],"to":[16,125],"the":[17,29,40,58,74,80,96,99,112,132,137,145],"n":[18,138],"-layer":[19,139],"case.":[20],"focus":[22],"on":[24],"structural":[25],"properties,":[26],"especially":[27],"for":[28],"case":[30],"rigid":[33,94],"upper":[34],"lid":[35],"constraint.":[36],"We":[37,56],"show":[38],"that":[39,50,111],"long-wave":[41],"dispersionless":[42],"limit":[43,151],"system":[46],"quasi-linear":[48],"equations":[49,83],"do":[51],"not":[52],"admit":[53],"Riemann":[54],"invariants.":[55],"equip":[57],"layer-averaged":[59],"one-dimensional":[60],"model":[61],"natural":[64],"Hamiltonian":[65,147],"structure,":[66],"obtained":[67],"suitable":[70],"reduction":[71],"process":[72],"from":[73],"continuous":[75],"density":[76],"stratification":[77],"structure":[78],"full":[81],"two-dimensional":[82],"proposed":[84],"by":[85,120,144,160],"Benjamin.":[86],"For":[87],"laterally":[89],"unbounded":[90],"fluid":[91],"between":[92],"horizontal":[93,102],"boundaries,":[95],"paradox":[97],"about":[98],"non-conservation":[100],"total":[103],"momentum":[104],"revisited,":[106],"and":[107,152,164],"it":[108,116],"shown":[110],"pressure":[113],"imbalances":[114],"causing":[115],"can":[117],"be":[118],"intensified":[119],"setups":[122],"respect":[124],"their":[126],"two-layer":[127],"counterparts.":[128],"generator":[130],"x":[133],"-translational":[134],"symmetry":[135],"in":[136],"setup":[140],"also":[142,167],"identified":[143],"appropriate":[146],"formalism.":[148],"Boussinesq":[150],"family":[154],"special":[156],"solutions":[157],"recently":[158],"introduced":[159],"de":[161],"Melo":[162],"Vir\u00edssimo":[163],"Milewski":[165],"are":[166],"discussed.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2021-06-07T00:00:00"}
