{"id":"https://openalex.org/W4402425156","doi":"https://doi.org/10.1007/s11464-022-0254-4","title":"Upper Semicontinuity of Strong Pullback Attractors for Delay Non-autonomous Dynamical Systems and Application to Double Time-delayed 2D MHD Equations","display_name":"Upper Semicontinuity of Strong Pullback Attractors for Delay Non-autonomous Dynamical Systems and Application to Double Time-delayed 2D MHD Equations","publication_year":2024,"publication_date":"2024-09-10","ids":{"openalex":"https://openalex.org/W4402425156","doi":"https://doi.org/10.1007/s11464-022-0254-4"},"language":"en","primary_location":{"id":"doi:10.1007/s11464-022-0254-4","doi":"https://doi.org/10.1007/s11464-022-0254-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11464-022-0254-4","pdf_url":null,"source":{"id":"https://openalex.org/S87035759","display_name":"Frontiers of Mathematics","issn_l":"1673-3452","issn":["1673-3452","1673-3576","2731-8648","2731-8656"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311889","host_organization_name":"Higher Education Press","host_organization_lineage":["https://openalex.org/P4310311889"],"host_organization_lineage_names":["Higher Education Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5037405243","display_name":"Qiangheng Zhang","orcid":"https://orcid.org/0000-0002-2082-5945","observed_orcids":["https://orcid.org/0000-0002-2082-5945"]},"institutions":[{"id":"https://openalex.org/I4210136682","display_name":"Heze University","ror":"https://ror.org/041zje040","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiangheng Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Heze University, Heze, 274015, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Heze University, Heze, 274015, China","institution_ids":["https://openalex.org/I4210136682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085582592","display_name":"Tom\u00e1s Caraballo","orcid":"https://orcid.org/0000-0003-4697-898X","observed_orcids":["https://orcid.org/0000-0003-4697-898X"]},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Tom\u00e1s Caraballo","raw_affiliation_strings":["Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Facultad de Matem\u00e1ticas, Universidad de Sevilla, C/Tarfia s/n, 41012, Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Facultad de Matem\u00e1ticas, Universidad de Sevilla, C/Tarfia s/n, 41012, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063844002","display_name":"Shuang Yang","orcid":"https://orcid.org/0000-0002-6620-6445","observed_orcids":["https://orcid.org/0000-0002-6620-6445"]},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["CN","ES"],"is_corresponding":true,"raw_author_name":"Shuang Yang","raw_affiliation_strings":["Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Facultad de Matem\u00e1ticas, Universidad de Sevilla, C/Tarfia s/n, 41012, Sevilla, Spain","School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Facultad de Matem\u00e1ticas, Universidad de Sevilla, C/Tarfia s/n, 41012, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063844002"],"corresponding_institution_ids":["https://openalex.org/I47720641","https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":0.6071,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57681431,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"20","issue":"1","first_page":"151","last_page":"183"},"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":0.9951000213623047,"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":0.9951000213623047,"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":0.0015999999595806003,"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":0.0010000000474974513,"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/upper-semicontinuity","display_name":"upper semicontinuity","score":0.9959999918937683},{"id":"https://openalex.org/keywords/delay-partial-differential-equations","display_name":"delay partial differential equations","score":0.9079999923706055},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"magnetohydrodynamics","score":0.8989999890327454},{"id":"https://openalex.org/keywords/pullback-asymptotic-compactness","display_name":"pullback asymptotic compactness","score":0.8799999952316284},{"id":"https://openalex.org/keywords/long-time-behavior","display_name":"long-time behavior","score":0.6069999933242798}],"concepts":[{"id":"https://openalex.org/C2778100799","wikidata":"https://www.wikidata.org/wiki/Q7259416","display_name":"Pullback attractor","level":3,"score":0.9226565361022949},{"id":"https://openalex.org/C2777680557","wikidata":"https://www.wikidata.org/wiki/Q7259417","display_name":"Pullback","level":2,"score":0.7357039451599121},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.6271275281906128},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5552998185157776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4928555488586426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.462137371301651},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4350891709327698},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3388907313346863},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32370513677597046},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2970368564128876},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.04502701759338379},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11464-022-0254-4","doi":"https://doi.org/10.1007/s11464-022-0254-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11464-022-0254-4","pdf_url":null,"source":{"id":"https://openalex.org/S87035759","display_name":"Frontiers of Mathematics","issn_l":"1673-3452","issn":["1673-3452","1673-3576","2731-8648","2731-8656"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311889","host_organization_name":"Higher Education Press","host_organization_lineage":["https://openalex.org/P4310311889"],"host_organization_lineage_names":["Higher Education Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers of Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W91588129","https://openalex.org/W210602584","https://openalex.org/W563254532","https://openalex.org/W604134745","https://openalex.org/W936481127","https://openalex.org/W1970199704","https://openalex.org/W1971800754","https://openalex.org/W2000680382","https://openalex.org/W2016700971","https://openalex.org/W2036798603","https://openalex.org/W2061239625","https://openalex.org/W2062091830","https://openalex.org/W2064959647","https://openalex.org/W2067707285","https://openalex.org/W2100594572","https://openalex.org/W2151210652","https://openalex.org/W2156946984","https://openalex.org/W2323827155","https://openalex.org/W2508708078","https://openalex.org/W2525104811","https://openalex.org/W2949357306","https://openalex.org/W2955782207","https://openalex.org/W3002232293","https://openalex.org/W3180776269","https://openalex.org/W3201027090"],"related_works":["https://openalex.org/W4412988273","https://openalex.org/W3180776269","https://openalex.org/W4407303470","https://openalex.org/W4318824873","https://openalex.org/W7207518749","https://openalex.org/W7125476168","https://openalex.org/W4399394323","https://openalex.org/W2893000103","https://openalex.org/W4404462668","https://openalex.org/W4319264413"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3}],"updated_date":"2026-09-04T10:56:28.161419","created_date":"2024-09-11T00:00:00"}
