{"id":"https://openalex.org/W1867671219","doi":"https://doi.org/10.1137/140994575","title":"Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization","display_name":"Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1867671219","doi":"https://doi.org/10.1137/140994575","mag":"1867671219"},"language":"en","primary_location":{"id":"doi:10.1137/140994575","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140994575","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/A5110132134","display_name":"A. K. Nandakumaran","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. K. Nandakumaran","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101738490","display_name":"Ravi Prakash","orcid":"https://orcid.org/0000-0002-6729-6446"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ravi Prakash","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5001792156","display_name":"Bidhan Chandra Sardar","orcid":"https://orcid.org/0000-0003-1573-5723"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bidhan Chandra Sardar","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110132134"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5431,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.89499106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"53","issue":"5","first_page":"3245","last_page":"3269"},"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":0.9986000061035156,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.9226012229919434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.792356014251709},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.563008189201355},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.49393850564956665},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.4839361310005188},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"Periodic boundary conditions","score":0.4351561963558197},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4255252778530121},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3290014863014221}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9226012229919434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.792356014251709},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.563008189201355},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.49393850564956665},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4839361310005188},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.4351561963558197},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4255252778530121},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3290014863014221},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","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":2,"locations":[{"id":"doi:10.1137/140994575","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140994575","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:eprints.iisc.ac.in:52900","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W309412643","https://openalex.org/W1487336393","https://openalex.org/W1565273095","https://openalex.org/W1662447081","https://openalex.org/W1967203031","https://openalex.org/W1972358798","https://openalex.org/W1972418904","https://openalex.org/W1974403457","https://openalex.org/W2004615368","https://openalex.org/W2010554233","https://openalex.org/W2028026827","https://openalex.org/W2032869971","https://openalex.org/W2034887879","https://openalex.org/W2037092586","https://openalex.org/W2054210282","https://openalex.org/W2054389227","https://openalex.org/W2059460892","https://openalex.org/W2064271971","https://openalex.org/W2088085488","https://openalex.org/W2090333253","https://openalex.org/W2094143568","https://openalex.org/W2103449449","https://openalex.org/W2136635272","https://openalex.org/W2253475026"],"related_works":["https://openalex.org/W2550220886","https://openalex.org/W2195213680","https://openalex.org/W2011162547","https://openalex.org/W2055958952","https://openalex.org/W1653702907","https://openalex.org/W1869252734","https://openalex.org/W4239362756","https://openalex.org/W4298876487","https://openalex.org/W2806989312","https://openalex.org/W3209300646"],"abstract_inverted_index":{"An":[0],"optimal":[1,65],"control":[2,66],"problem":[3],"in":[4,30,45],"a":[5,9,39,60],"two-dimensional":[6],"domain":[7],"with":[8,72],"rapidly":[10],"oscillating":[11],"boundary":[12],"is":[13],"considered.":[14],"The":[15],"main":[16],"features":[17],"of":[18,35,63],"this":[19],"article":[20],"are":[21,52],"on":[22],"two":[23],"points,":[24],"namely,":[25],"we":[26],"consider":[27],"periodic":[28,33],"controls":[29,51],"the":[31,46,50,64],"thin":[32],"slabs":[34],"period":[36],"$\\epsilon":[37,69],">0$,":[38],"small":[40],"parameter,":[41],"and":[42,49],"height":[43],"$O(1)$":[44],"oscillatory":[47],"part,":[48],"characterized":[53],"using":[54],"unfolding":[55],"operators.":[56],"We":[57],"then":[58],"do":[59],"homogenization":[61],"analysis":[62],"problems":[67],"as":[68,74,76],"\\rightarrow":[70],"0$":[71],"$L^2$":[73],"well":[75],"Dirichlet":[77],"(gradient-type)":[78],"cost":[79],"functionals.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
