{"id":"https://openalex.org/W2052425458","doi":"https://doi.org/10.1103/physrevd.69.084001","title":"Differential rotation of nonlinearr-modes","display_name":"Differential rotation of nonlinearr-modes","publication_year":2004,"publication_date":"2004-04-02","ids":{"openalex":"https://openalex.org/W2052425458","doi":"https://doi.org/10.1103/physrevd.69.084001","mag":"2052425458"},"language":"en","primary_location":{"id":"doi:10.1103/physrevd.69.084001","doi":"https://doi.org/10.1103/physrevd.69.084001","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevd.69.084001","pdf_url":null,"source":{"id":"https://openalex.org/S4210190737","display_name":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","issn_l":"0556-2821","issn":["0556-2821","1089-4918","1538-4500","1550-2368","1550-7998"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2052425458"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/gr-qc/0302115","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040806232","display_name":"Paulo M. S\u00e1","orcid":"https://orcid.org/0000-0003-4321-0801","observed_orcids":["https://orcid.org/0000-0003-4321-0801"]},"institutions":[{"id":"https://openalex.org/I71503853","display_name":"University of Algarve","ror":"https://ror.org/014g34x36","country_code":"PT","type":"education","lineage":["https://openalex.org/I71503853"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Paulo M. S\u00e1","raw_affiliation_strings":["Departamento de F\u00edsica, FCT, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, FCT, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal","institution_ids":["https://openalex.org/I71503853"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040806232"],"corresponding_institution_ids":["https://openalex.org/I71503853"],"apc_list":null,"apc_paid":null,"fwci":1.0364,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.75527025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"69","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.009600000455975533,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.004999999888241291,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/r-modes","display_name":"r-modes","score":0.9490000009536743},{"id":"https://openalex.org/keywords/differential-rotation","display_name":"differential rotation","score":0.9940000176429749},{"id":"https://openalex.org/keywords/slowly-rotating-stars","display_name":"slowly rotating stars","score":0.7509999871253967},{"id":"https://openalex.org/keywords/barotropic-perfect-fluid","display_name":"barotropic perfect fluid","score":0.8679999709129333},{"id":"https://openalex.org/keywords/vorticity","display_name":"vorticity","score":0.6290000081062317},{"id":"https://openalex.org/keywords/angular-momentum","display_name":"angular momentum","score":0.7400000095367432}],"concepts":[{"id":"https://openalex.org/C29712183","wikidata":"https://www.wikidata.org/wiki/Q739293","display_name":"Barotropic fluid","level":2,"score":0.7222095131874084},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7147396802902222},{"id":"https://openalex.org/C155008239","wikidata":"https://www.wikidata.org/wiki/Q59122","display_name":"Differential rotation","level":3,"score":0.7020317912101746},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6073748469352722},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.566901683807373},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.4612058997154236},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.4452115297317505},{"id":"https://openalex.org/C294558","wikidata":"https://www.wikidata.org/wiki/Q366968","display_name":"Newtonian fluid","level":2,"score":0.43616700172424316},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4325462579727173},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40928006172180176},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.36026549339294434},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.3178163170814514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27626875042915344},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22534504532814026},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21626877784729004},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevd.69.084001","doi":"https://doi.org/10.1103/physrevd.69.084001","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevd.69.084001","pdf_url":null,"source":{"id":"https://openalex.org/S4210190737","display_name":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","issn_l":"0556-2821","issn":["0556-2821","1089-4918","1538-4500","1550-2368","1550-7998"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:gr-qc/0302115","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/gr-qc/0302115","pdf_url":"https://arxiv.org/pdf/gr-qc/0302115","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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:cds.cern.ch:607136","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/607136","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.gr-qc/0302115","doi":"https://doi.org/10.48550/arxiv.gr-qc/0302115","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.gr-qc/0302115","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:gr-qc/0302115","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/gr-qc/0302115","pdf_url":"https://arxiv.org/pdf/gr-qc/0302115","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2052425458.pdf","grobid_xml":"https://content.openalex.org/works/W2052425458.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W192914096","https://openalex.org/W1615681384","https://openalex.org/W1972945551","https://openalex.org/W1982264549","https://openalex.org/W1986698473","https://openalex.org/W1990382791","https://openalex.org/W1997105754","https://openalex.org/W2011591061","https://openalex.org/W2024424249","https://openalex.org/W2034698434","https://openalex.org/W2036056653","https://openalex.org/W2042190580","https://openalex.org/W2045694681","https://openalex.org/W2053215245","https://openalex.org/W2081545524","https://openalex.org/W2094559253","https://openalex.org/W2097375932","https://openalex.org/W2116961354","https://openalex.org/W2130360506","https://openalex.org/W2150218627","https://openalex.org/W2167054461","https://openalex.org/W2295410577","https://openalex.org/W2592733448","https://openalex.org/W2594385597","https://openalex.org/W2949557391"],"related_works":["https://openalex.org/W2241183286","https://openalex.org/W1986698473","https://openalex.org/W2091170416","https://openalex.org/W1581382455","https://openalex.org/W2604395172","https://openalex.org/W2082751751","https://openalex.org/W1977167299","https://openalex.org/W2101873650","https://openalex.org/W2060614388","https://openalex.org/W2737341982"],"abstract_inverted_index":{"The":[0],"differential":[1,41,82],"rotation":[2,42,83],"of":[3,22,35,48,111,128],"r-modes":[4,105],"is":[5,67,75,89,95,118],"investigated":[6],"within":[7],"the":[8,16,20,36,73,99,102,109,122,129,136],"nonlinear":[9,33],"theory":[10],"up":[11],"to":[12],"second":[13,115],"order":[14],"in":[15,19,101,132],"mode":[17],"amplitude":[18],"case":[21],"a":[23,32,57,68],"slowly":[24],"rotating,":[25],"Newtonian,":[26],"barotropic,":[27],"perfect-fluid":[28],"star.":[29],"We":[30],"find":[31],"extension":[34],"linear":[37],"r-mode,":[38],"which":[39,88],"represents":[40],"that":[43,66,121],"produces":[44],"large":[45],"scale":[46],"drifts":[47],"fluid":[49,112],"elements":[50,113],"along":[51],"stellar":[52],"latitudes.":[53],"This":[54],"solution":[55],"includes":[56],"piece":[58],"induced":[59,84],"by":[60,85],"first-order":[61,86],"quantities":[62],"and":[63,126],"another":[64],"one":[65],"pure":[69],"second-order":[70],"effect.":[71],"Since":[72],"latter":[74],"stratified":[76,91],"on":[77,92],"cylinders,":[78],"it":[79],"cannot":[80],"cancel":[81],"quantities,":[87],"not":[90,107],"cylinders.":[93],"It":[94,117],"shown":[96,120],"that,":[97],"unlike":[98],"situation":[100],"linearized":[103],"theory,":[104],"do":[106],"preserve":[108],"vorticity":[110],"at":[114],"order.":[116],"also":[119],"physical":[123],"angular":[124],"momentum":[125],"energy":[127],"perturbation":[130],"are,":[131],"general,":[133],"different":[134],"from":[135],"corresponding":[137],"canonical":[138],"quantities.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2016-06-24T00:00:00"}
