{"id":"https://openalex.org/W2014804019","doi":"https://doi.org/10.1137/s0363012999354892","title":"Generation of Optimal Periodic Oscillations for the Control of Boundary Layers","display_name":"Generation of Optimal Periodic Oscillations for the Control of Boundary Layers","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2014804019","doi":"https://doi.org/10.1137/s0363012999354892","mag":"2014804019"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012999354892","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999354892","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015683628","display_name":"Abderrahmane Habbal","orcid":"https://orcid.org/0000-0001-5941-0248"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Abderrahmane Habbal","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015683628"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12021778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"3","first_page":"712","last_page":"722"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9990000128746033,"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/T11558","display_name":"Composite Material Mechanics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematics","display_name":"Mathematics","score":0.8041893243789673},{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.7894301414489746},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6033040881156921},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5517180562019348},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5297842025756836},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5217753052711487},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4873236119747162},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.468847393989563},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3536912798881531},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33177486062049866},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3029889166355133},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20330053567886353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08809360861778259},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.07657316327095032},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06751257181167603}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8041893243789673},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.7894301414489746},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6033040881156921},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5517180562019348},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5297842025756836},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5217753052711487},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4873236119747162},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.468847393989563},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3536912798881531},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33177486062049866},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3029889166355133},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20330053567886353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08809360861778259},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.07657316327095032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06751257181167603},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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":1,"locations":[{"id":"doi:10.1137/s0363012999354892","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999354892","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W170197162","https://openalex.org/W271667515","https://openalex.org/W646660235","https://openalex.org/W656727543","https://openalex.org/W1489458628","https://openalex.org/W1537639429","https://openalex.org/W1588974174","https://openalex.org/W1974309308","https://openalex.org/W2034887879","https://openalex.org/W2037126016","https://openalex.org/W2064713561","https://openalex.org/W2076710484","https://openalex.org/W2087755223","https://openalex.org/W2103449449","https://openalex.org/W2120876740","https://openalex.org/W2338212859","https://openalex.org/W4233371490","https://openalex.org/W4285719527","https://openalex.org/W4294678829"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W1492688905","https://openalex.org/W2524071042","https://openalex.org/W2550220886","https://openalex.org/W2025913943","https://openalex.org/W2196719869"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,52],"devoted":[3],"to":[4,13,29],"the":[5,31,41,44],"optimal":[6,48],"design":[7],"problem":[8],"of":[9,46],"periodic":[10],"surfaces.":[11],"Solutions":[12],"elliptic":[14],"partial":[15],"differential":[16],"equations":[17],"occurring":[18],"in":[19],"oscillating":[20],"domains":[21],"exhibit":[22],"boundary":[23,49],"layer":[24,50],"behavior,":[25],"and":[26],"we":[27],"intend":[28],"control":[30,51],"first":[32],"order":[33],"correctors.":[34],"Using":[35],"a":[36],"mathematical":[37],"framework":[38],"derived":[39],"from":[40],"homogenization":[42],"techniques,":[43],"existence":[45],"an":[47],"proved.":[53]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
