{"id":"https://openalex.org/W4318445765","doi":"https://doi.org/10.11121/ijocta.2023.1283","title":"The null boundary controllability for the Mullins equation with periodic boundary conditions","display_name":"The null boundary controllability for the Mullins equation with periodic boundary conditions","publication_year":2023,"publication_date":"2023-01-29","ids":{"openalex":"https://openalex.org/W4318445765","doi":"https://doi.org/10.11121/ijocta.2023.1283"},"language":"en","primary_location":{"id":"doi:10.11121/ijocta.2023.1283","doi":"https://doi.org/10.11121/ijocta.2023.1283","is_oa":true,"landing_page_url":"http://dx.doi.org/10.11121/ijocta.2023.1283","pdf_url":"https://www.ijocta.org/index.php/files/article/download/1283/402","source":{"id":"https://openalex.org/S2738277457","display_name":"An International Journal of Optimization and Control Theories & Applications (IJOCTA)","issn_l":"2146-0957","issn":["2146-0957","2146-5703"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310318307","host_organization_name":"Bal\u0131kesir University","host_organization_lineage":["https://openalex.org/P4310318307"],"host_organization_lineage_names":["Bal\u0131kesir University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"An International Journal of Optimization and Control: Theories &amp; Applications (IJOCTA)","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.ijocta.org/index.php/files/article/download/1283/402","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047655828","display_name":"I\u015f\u0131l \u00d6ner","orcid":"https://orcid.org/0000-0002-4283-4033","observed_orcids":["https://orcid.org/0000-0002-4283-4033"]},"institutions":[{"id":"https://openalex.org/I109297418","display_name":"Gebze Technical University","ror":"https://ror.org/01sdnnq10","country_code":"TR","type":"education","lineage":["https://openalex.org/I109297418"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Isil Oner","raw_affiliation_strings":["Department of Mathematics in Faculty of Science, Gebze Technical University, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-4283-4033","affiliations":[{"raw_affiliation_string":"Department of Mathematics in Faculty of Science, Gebze Technical University, Turkey","institution_ids":["https://openalex.org/I109297418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047655828"],"corresponding_institution_ids":["https://openalex.org/I109297418"],"apc_list":null,"apc_paid":null,"fwci":0.1735,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.35261719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"13","issue":"1","first_page":"116","last_page":"122"},"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":0.9818999767303467,"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":0.9818999767303467,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.01549999974668026,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.000699999975040555,"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/null-controllability","display_name":"null controllability","score":0.9520000219345093},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"periodic boundary conditions","score":0.9679999947547913},{"id":"https://openalex.org/keywords/spectral-analysis","display_name":"spectral analysis","score":0.8059999942779541},{"id":"https://openalex.org/keywords/moment-problem","display_name":"moment problem","score":0.8939999938011169}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9856071472167969},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8970685005187988},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8236032724380493},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.7903642654418945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7407476305961609},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6324118375778198},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6286783814430237},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5699349045753479},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5618821382522583},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5505715012550354},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.43494993448257446},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43373551964759827},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24939066171646118},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13781991600990295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11549621820449829},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0703682005405426},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.11121/ijocta.2023.1283","doi":"https://doi.org/10.11121/ijocta.2023.1283","is_oa":true,"landing_page_url":"http://dx.doi.org/10.11121/ijocta.2023.1283","pdf_url":"https://www.ijocta.org/index.php/files/article/download/1283/402","source":{"id":"https://openalex.org/S2738277457","display_name":"An International Journal of Optimization and Control Theories & Applications (IJOCTA)","issn_l":"2146-0957","issn":["2146-0957","2146-5703"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310318307","host_organization_name":"Bal\u0131kesir University","host_organization_lineage":["https://openalex.org/P4310318307"],"host_organization_lineage_names":["Bal\u0131kesir University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"An International Journal of Optimization and Control: Theories &amp; Applications (IJOCTA)","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.11121/ijocta.2023.1283","doi":"https://doi.org/10.11121/ijocta.2023.1283","is_oa":true,"landing_page_url":"http://dx.doi.org/10.11121/ijocta.2023.1283","pdf_url":"https://www.ijocta.org/index.php/files/article/download/1283/402","source":{"id":"https://openalex.org/S2738277457","display_name":"An International Journal of Optimization and Control Theories & Applications (IJOCTA)","issn_l":"2146-0957","issn":["2146-0957","2146-5703"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310318307","host_organization_name":"Bal\u0131kesir University","host_organization_lineage":["https://openalex.org/P4310318307"],"host_organization_lineage_names":["Bal\u0131kesir University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"An International Journal of Optimization and Control: Theories &amp; Applications (IJOCTA)","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4318445765.pdf","grobid_xml":"https://content.openalex.org/works/W4318445765.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1535390234","https://openalex.org/W1569734721","https://openalex.org/W1597976016","https://openalex.org/W1604226557","https://openalex.org/W1835398917","https://openalex.org/W1987880108","https://openalex.org/W2004746885","https://openalex.org/W2008767467","https://openalex.org/W2017334281","https://openalex.org/W2042669370","https://openalex.org/W2059032707","https://openalex.org/W2065272780","https://openalex.org/W2165729728","https://openalex.org/W2243103137","https://openalex.org/W2592178514","https://openalex.org/W2800286772","https://openalex.org/W2802338388","https://openalex.org/W2964311622","https://openalex.org/W4239845241"],"related_works":["https://openalex.org/W4230668192","https://openalex.org/W4413175656","https://openalex.org/W4362644059","https://openalex.org/W7165857730","https://openalex.org/W4401651419","https://openalex.org/W4295365161","https://openalex.org/W3193939460","https://openalex.org/W2006619692","https://openalex.org/W4310802690","https://openalex.org/W6959555657"],"abstract_inverted_index":{"In":[0],"this":[1,77,95],"paper,":[2],"we":[3,29,57,80],"study":[4],"the":[5,9,13,17,22,31,37,40,46,51,54,59,65,82,87,92],"null":[6,83],"controllability":[7,26,32,84],"of":[8,36,39,50,53],"Mullins":[10],"equation":[11],"with":[12],"control":[14],"acting":[15],"on":[16,94],"periodic":[18],"boundary.":[19],"Firstly,":[20],"using":[21,76],"duality":[23],"relation":[24],"between":[25],"and":[27,48,90],"observability,":[28],"express":[30],"condition":[33],"in":[34],"terms":[35],"solution":[38,52],"backward":[41],"adjoint":[42,55],"system.":[43],"After":[44],"showing":[45],"existence":[47],"uniqueness":[49],"system,":[56],"determine":[58],"admissible":[60,96],"initial":[61,97],"data":[62],"class":[63],"since":[64],"system":[66],"is":[67],"not":[68],"always":[69],"controllable":[70],"under":[71],"these":[72],"boundary":[73],"conditions.":[74],"Finally,":[75],"spectral":[78],"analysis,":[79],"reduce":[81],"problem":[85,89,93],"to":[86],"moment":[88],"solve":[91],"class.":[98]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2023-01-30T00:00:00"}
