{"id":"https://openalex.org/W3155828340","doi":"https://doi.org/10.1137/19m1285354","title":"Controllability of One-Dimensional Viscous Free Boundary Flows","display_name":"Controllability of One-Dimensional Viscous Free Boundary Flows","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3155828340","doi":"https://doi.org/10.1137/19m1285354","mag":"3155828340"},"language":"en","primary_location":{"id":"doi:10.1137/19m1285354","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1285354","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-02277740","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049531040","display_name":"Borjan Geshkovski","orcid":"https://orcid.org/0000-0002-7890-3352"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Borjan Geshkovski","raw_affiliation_strings":["UAM - Universidad Aut\u00f3noma de Madrid (Ciudad Universitaria de Cantoblanco \u00b7 28049 Madrid - Spain)"],"raw_orcid":"https://orcid.org/0000-0002-7890-3352","affiliations":[{"raw_affiliation_string":"UAM - Universidad Aut\u00f3noma de Madrid (Ciudad Universitaria de Cantoblanco \u00b7 28049 Madrid - Spain)","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088702266","display_name":"Enrique Zuazua","orcid":"https://orcid.org/0000-0002-1377-0958"},"institutions":[{"id":"https://openalex.org/I136040515","display_name":"Universidad de Deusto","ror":"https://ror.org/00ne6sr39","country_code":"ES","type":"education","lineage":["https://openalex.org/I136040515"]},{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]},{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["DE","ES"],"is_corresponding":false,"raw_author_name":"Enrique Zuazua","raw_affiliation_strings":["UAM - Universidad Aut\u00f3noma de Madrid (Ciudad Universitaria de Cantoblanco \u00b7 28049 Madrid - Spain)","FAU - Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg = University of Erlangen-Nuremberg (Schlossplatz 4, 91054 Erlangen, Germany - Germany)","DEUSTO - Universidad de Deusto (Avenida de las Universidades, 24 - 48007 - Bilbao - Bizkaia  - Spain)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UAM - Universidad Aut\u00f3noma de Madrid (Ciudad Universitaria de Cantoblanco \u00b7 28049 Madrid - Spain)","institution_ids":["https://openalex.org/I63634437"]},{"raw_affiliation_string":"FAU - Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg = University of Erlangen-Nuremberg (Schlossplatz 4, 91054 Erlangen, Germany - Germany)","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"DEUSTO - Universidad de Deusto (Avenida de las Universidades, 24 - 48007 - Bilbao - Bizkaia  - Spain)","institution_ids":["https://openalex.org/I136040515"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049531040"],"corresponding_institution_ids":["https://openalex.org/I63634437"],"apc_list":null,"apc_paid":null,"fwci":1.5264,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8202327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"59","issue":"3","first_page":"1830","last_page":"1850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9955000281333923,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9955000281333923,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9919000267982483,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9897000193595886,"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/controllability","display_name":"Controllability","score":0.8037692308425903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7023630142211914},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6945673227310181},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5025646686553955},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4828691780567169},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34724026918411255},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3395463526248932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.28384557366371155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15855148434638977}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8037692308425903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7023630142211914},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6945673227310181},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5025646686553955},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4828691780567169},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34724026918411255},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3395463526248932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28384557366371155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15855148434638977},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/19m1285354","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1285354","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02277740v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02277740","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02277740","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02277740v2","is_oa":true,"landing_page_url":"https://hal.science/hal-02277740","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2021","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02277740v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02277740","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02277740","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[{"display_name":"Quality Education","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/4"}],"awards":[{"id":"https://openalex.org/G1461703392","display_name":null,"funder_award_id":"MTM2017-92996-C2-1-R","funder_id":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a"},{"id":"https://openalex.org/G5188690396","display_name":null,"funder_award_id":"FA9550-18-1-0242","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6222049829","display_name":null,"funder_award_id":"765579-ConFlex","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G8125013922","display_name":null,"funder_award_id":"694126-DyCon","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1966104990","https://openalex.org/W1978480474","https://openalex.org/W1989243126","https://openalex.org/W1991562697","https://openalex.org/W2032938436","https://openalex.org/W2036955271","https://openalex.org/W2043233479","https://openalex.org/W2045159662","https://openalex.org/W2049144013","https://openalex.org/W2054579164","https://openalex.org/W2061154864","https://openalex.org/W2085550717","https://openalex.org/W2113761439","https://openalex.org/W2129048452","https://openalex.org/W2147156056","https://openalex.org/W2162845060","https://openalex.org/W2485444916","https://openalex.org/W2582291094","https://openalex.org/W2601520144","https://openalex.org/W2625433903","https://openalex.org/W2904698172","https://openalex.org/W2983487402","https://openalex.org/W3009342461","https://openalex.org/W3087557437","https://openalex.org/W3104535952"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W2561315646","https://openalex.org/W4205698120","https://openalex.org/W2066120048","https://openalex.org/W2949745863","https://openalex.org/W4230303582"],"abstract_inverted_index":{"In":[0],"this":[1,48],"work,":[2],"we":[3,63],"address":[4],"the":[5,19,33,41,44,60,66,75,80],"local":[6],"controllability":[7],"of":[8,32,43,55],"a":[9,15,56],"one-dimensional":[10],"free":[11,24,76],"boundary":[12,25],"problem":[13],"for":[14],"fluid":[16,45,67],"governed":[17],"by":[18,40,53],"viscous":[20],"Burgers":[21],"equation.":[22],"The":[23],"manifests":[26],"itself":[27],"as":[28],"one":[29],"moving":[30],"end":[31],"interval,":[34],"and":[35,83],"its":[36],"evolution":[37],"is":[38],"given":[39],"value":[42],"velocity":[46,70],"at":[47],"endpoint.":[49],"We":[50],"prove":[51],"that,":[52],"means":[54],"control":[57],"actuating":[58],"along":[59],"fixed":[61],"boundary,":[62],"may":[64],"steer":[65],"to":[68,73],"constant":[69],"in":[71],"addition":[72],"prescribing":[74],"boundary's":[77],"position,":[78],"provided":[79],"initial":[81],"velocities":[82],"interface":[84],"positions":[85],"are":[86],"close":[87],"enough.":[88]},"counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}