{"id":"https://openalex.org/W2800873005","doi":"https://doi.org/10.1142/s0218202519500210","title":"On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term","display_name":"On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term","publication_year":2019,"publication_date":"2019-03-29","ids":{"openalex":"https://openalex.org/W2800873005","doi":"https://doi.org/10.1142/s0218202519500210","mag":"2800873005"},"language":"en","primary_location":{"id":"doi:10.1142/s0218202519500210","doi":"https://doi.org/10.1142/s0218202519500210","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218202519500210","pdf_url":null,"source":{"id":"https://openalex.org/S24332595","display_name":"Mathematical Models and Methods in Applied Sciences","issn_l":"0218-2025","issn":["0218-2025","1793-4060","1793-6314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Models and Methods in Applied Sciences","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2800873005"],"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/1805.05179","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077625788","display_name":"\u00c1ngel Castro","orcid":"https://orcid.org/0000-0002-6652-1963","observed_orcids":["https://orcid.org/0000-0002-6652-1963"]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1ngel Castro","raw_affiliation_strings":["Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain","Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210157032"]},{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain#TAB#","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210157032"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070793782","display_name":"Diego C\u00f3rdoba","orcid":"https://orcid.org/0000-0002-4056-2556","observed_orcids":["https://orcid.org/0000-0002-4056-2556"]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Diego C\u00f3rdoba","raw_affiliation_strings":["Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain","Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210157032"]},{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain#TAB#","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210157032"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089509479","display_name":"Daniel Lear","orcid":"https://orcid.org/0000-0002-7898-8544","observed_orcids":["https://orcid.org/0000-0002-7898-8544"]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Daniel Lear","raw_affiliation_strings":["Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain","Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210157032"]},{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain#TAB#","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210157032"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.2627,"has_fulltext":true,"cited_by_count":82,"citation_normalized_percentile":{"value":0.98432839,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"29","issue":"07","first_page":"1227","last_page":"1277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9965999722480774,"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":0.9965999722480774,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.000699999975040555,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.0005000000237487257,"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/boussinesq-equations","display_name":"Boussinesq equations","score":0.9259999990463257},{"id":"https://openalex.org/keywords/velocity-damping","display_name":"velocity damping","score":0.8180000185966492},{"id":"https://openalex.org/keywords/asymptotic-stability","display_name":"asymptotic stability","score":0.9269999861717224},{"id":"https://openalex.org/keywords/two-dimensional-fluid-equations","display_name":"two-dimensional fluid equations","score":0.6029999852180481},{"id":"https://openalex.org/keywords/stripe-domains","display_name":"stripe domains","score":0.9089999794960022},{"id":"https://openalex.org/keywords/impermeable-wall","display_name":"impermeable wall","score":0.9829999804496765}],"concepts":[{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.7370312213897705},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6320016384124756},{"id":"https://openalex.org/C181152433","wikidata":"https://www.wikidata.org/wiki/Q895274","display_name":"Boussinesq approximation (buoyancy)","level":5,"score":0.5760056972503662},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5654348731040955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5346727967262268},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.532731831073761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5139917731285095},{"id":"https://openalex.org/C2989268449","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Energy method","level":2,"score":0.5121998190879822},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4441729485988617},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4090845584869385},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.26773375272750854},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.18092942237854004},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07409399747848511},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05718591809272766},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218202519500210","doi":"https://doi.org/10.1142/s0218202519500210","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218202519500210","pdf_url":null,"source":{"id":"https://openalex.org/S24332595","display_name":"Mathematical Models and Methods in Applied Sciences","issn_l":"0218-2025","issn":["0218-2025","1793-4060","1793-6314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Models and Methods in Applied Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.05179","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.05179","pdf_url":"https://arxiv.org/pdf/1805.05179","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:digital.csic.es:10261/200298","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10261/200298","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"doi:10.48550/arxiv.1805.05179","doi":"https://doi.org/10.48550/arxiv.1805.05179","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.05179","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.05179","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.05179","pdf_url":"https://arxiv.org/pdf/1805.05179","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":[{"id":"https://openalex.org/G3487970159","display_name":null,"funder_award_id":"SEV-2011-0087","funder_id":"https://openalex.org/F4320312059","funder_display_name":"Instituto de Ciencias Matem\u00e1ticas"}],"funders":[{"id":"https://openalex.org/F4320312059","display_name":"Instituto de Ciencias Matem\u00e1ticas","ror":"https://ror.org/05e9bn444"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2800873005.pdf","grobid_xml":"https://content.openalex.org/works/W2800873005.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W565460793","https://openalex.org/W1480681685","https://openalex.org/W1505931582","https://openalex.org/W1520718945","https://openalex.org/W1523631876","https://openalex.org/W1545761024","https://openalex.org/W1920354936","https://openalex.org/W1973030790","https://openalex.org/W1983376330","https://openalex.org/W1992061634","https://openalex.org/W1994093948","https://openalex.org/W2004251167","https://openalex.org/W2029545474","https://openalex.org/W2060637590","https://openalex.org/W2081797143","https://openalex.org/W2097270841","https://openalex.org/W2099460886","https://openalex.org/W2104523731","https://openalex.org/W2112287406","https://openalex.org/W2136763222","https://openalex.org/W2164723633","https://openalex.org/W2233379754","https://openalex.org/W2530401387","https://openalex.org/W2558344571","https://openalex.org/W2581454467","https://openalex.org/W2605040368","https://openalex.org/W2615580888","https://openalex.org/W2783022917","https://openalex.org/W2798913155","https://openalex.org/W2962734084","https://openalex.org/W2963020995","https://openalex.org/W2964305021","https://openalex.org/W3091814460","https://openalex.org/W3099659343","https://openalex.org/W4214728030"],"related_works":["https://openalex.org/W4413957631","https://openalex.org/W4293068526","https://openalex.org/W7160995250","https://openalex.org/W3207925967","https://openalex.org/W4210594308","https://openalex.org/W4319320816","https://openalex.org/W2128071891","https://openalex.org/W4293472974","https://openalex.org/W3081570736","https://openalex.org/W4367154303"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,23,39],"2D":[3],"Boussinesq":[4,24],"equations":[5],"with":[6,15],"a":[7,12,43,49],"velocity":[8],"damping":[9],"term":[10],"in":[11],"strip":[13],"domain,":[14],"impermeable":[16],"walls.":[17],"In":[18],"this":[19],"physical":[20],"scenario,":[21],"where":[22],"approximation":[25],"is":[26,38],"accurate":[27],"when":[28],"density":[29],"or":[30],"temperature":[31],"variations":[32],"are":[33],"small,":[34],"our":[35],"main":[36],"result":[37],"asymptotic":[40],"stability":[41],"for":[42],"specific":[44],"type":[45],"of":[46,48],"perturbations":[47],"stratified":[50],"solution.":[51]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2018-05-17T00:00:00"}
