{"id":"https://openalex.org/W2979899370","doi":"https://doi.org/10.1080/00207160.2019.1677898","title":"Robustness of global attractors of singularly perturbed plate equations","display_name":"Robustness of global attractors of singularly perturbed plate equations","publication_year":2019,"publication_date":"2019-10-10","ids":{"openalex":"https://openalex.org/W2979899370","doi":"https://doi.org/10.1080/00207160.2019.1677898","mag":"2979899370"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1677898","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1677898","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5062766643","display_name":"Haibin Xiao","orcid":"https://orcid.org/0000-0001-7566-3624"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haibin Xiao","raw_affiliation_strings":["School of Mathematics and Statistics, Ningbo University, Ningbo, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-7566-3624","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Ningbo University, Ningbo, People's Republic of China","institution_ids":["https://openalex.org/I109935558"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062766643"],"corresponding_institution_ids":["https://openalex.org/I109935558"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11721851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"97","issue":"10","first_page":"2091","last_page":"2108"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9853000044822693,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7472670674324036},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.675834596157074},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6337957382202148},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5033509135246277},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.473903089761734},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4529508650302887},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3445912003517151},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16972237825393677},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07473355531692505}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7472670674324036},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.675834596157074},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6337957382202148},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5033509135246277},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.473903089761734},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4529508650302887},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3445912003517151},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16972237825393677},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07473355531692505},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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:10.1080/00207160.2019.1677898","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1677898","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.6700000166893005}],"awards":[{"id":"https://openalex.org/G7266506183","display_name":null,"funder_award_id":"LY14A010004","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320322605","display_name":"Ningbo University","ror":"https://ror.org/03et85d35"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W338396539","https://openalex.org/W567428563","https://openalex.org/W1496662771","https://openalex.org/W1516587486","https://openalex.org/W1519411840","https://openalex.org/W1541939020","https://openalex.org/W1554190029","https://openalex.org/W1557040331","https://openalex.org/W1977164355","https://openalex.org/W1981496358","https://openalex.org/W1988618613","https://openalex.org/W2015298174","https://openalex.org/W2023590249","https://openalex.org/W2036314091","https://openalex.org/W2037714227","https://openalex.org/W2048067134","https://openalex.org/W2048098093","https://openalex.org/W2066966173","https://openalex.org/W2081902440","https://openalex.org/W2082477412","https://openalex.org/W2120456663","https://openalex.org/W2158638171","https://openalex.org/W2185767462","https://openalex.org/W2362786244","https://openalex.org/W2403017595","https://openalex.org/W2569102526","https://openalex.org/W2588092306","https://openalex.org/W2589904141","https://openalex.org/W2760120002","https://openalex.org/W2765714349","https://openalex.org/W2964044182","https://openalex.org/W2964286366","https://openalex.org/W4292366025"],"related_works":["https://openalex.org/W2960434112","https://openalex.org/W3049714198","https://openalex.org/W2036805113","https://openalex.org/W2592279130","https://openalex.org/W2049158118","https://openalex.org/W2088269674","https://openalex.org/W2461488516","https://openalex.org/W2037407651","https://openalex.org/W2474491868","https://openalex.org/W2588561665"],"abstract_inverted_index":{"In":[0],"the":[1,26,39,45,62,67,71,77,81,92,96],"paper,":[2],"upper":[3,68],"semicontinuity":[4,69],"of":[5,8,31,61,70,73],"global":[6,32,50,74],"attractors":[7,33,75],"singularly":[9],"perturbed":[10],"plate":[11],"equations":[12,27],"on":[13],"an":[14],"unbounded":[15],"domain":[16],"with":[17,89],"small":[18],"positive":[19],"parameter":[20,98],"is":[21],"considered.":[22],"Under":[23],"suitable":[24],"assumptions,":[25],"possess":[28],"a":[29,49,58],"family":[30,72],"in":[34,80],"natural":[35,63,82],"energy":[36,64,83],"space,":[37,65],"and":[38,66],"corresponding":[40],"singular":[41],"limit":[42],"equation,":[43,47],"i.e.":[44],"parabolic":[46],"possesses":[48],"attractor,":[51],"which":[52],"can":[53],"be":[54],"naturally":[55],"embedded":[56],"into":[57],"compact":[59,78],"set":[60,79],"to":[76,91,100],"space":[84],"(even":[85],"more":[86],"regular":[87],"space)":[88],"respect":[90],"Hausdorff":[93],"semidistance,":[94],"as":[95],"perturbation":[97],"tends":[99],"zero,":[101],"was":[102],"proved.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
