{"id":"https://openalex.org/W2964288389","doi":"https://doi.org/10.3233/asy-2012-1109","title":"Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps","display_name":"Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2964288389","doi":"https://doi.org/10.3233/asy-2012-1109","mag":"2964288389"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2012-1109","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2012-1109","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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/A5027426452","display_name":"Alain Bensoussan","orcid":"https://orcid.org/0000-0003-2465-1249"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]},{"id":"https://openalex.org/I57664883","display_name":"Ajou University","ror":"https://ror.org/03tzb2h73","country_code":"KR","type":"education","lineage":["https://openalex.org/I57664883"]}],"countries":["HK","KR","US"],"is_corresponding":true,"raw_author_name":"Alain Bensoussan","raw_affiliation_strings":["Graduate Department of Financial Engineering, Ajou University, Suwon, South Korea. E-mail: alain.bensoussan@utdallas.edu","Graduate School of Business, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China","International Center for Decision and Risk Analysis, School of Management, University of Texas at Dallas, Richardson, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate Department of Financial Engineering, Ajou University, Suwon, South Korea. E-mail: alain.bensoussan@utdallas.edu","institution_ids":["https://openalex.org/I57664883"]},{"raw_affiliation_string":"Graduate School of Business, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"International Center for Decision and Risk Analysis, School of Management, University of Texas at Dallas, Richardson, TX, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030869345","display_name":"H\u00e9ctor Jasso-Fuentes","orcid":"https://orcid.org/0000-0002-2502-9219"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]},{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"H\u00e9ctor Jasso-Fuentes","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Cinvestav-IPN, M\u00e9xico, D.F. M\u00e9xico. E-mail: hjasso@math.cinvestav.mx"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Cinvestav-IPN, M\u00e9xico, D.F. M\u00e9xico. E-mail: hjasso@math.cinvestav.mx","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016566550","display_name":"St\u00e9phane Menozzi","orcid":"https://orcid.org/0000-0001-5069-6067"},"institutions":[{"id":"https://openalex.org/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"St\u00e9phane Menozzi","raw_affiliation_strings":["Universit\u00e9 Denis Diderot-Paris 7, Paris, France. E-mail: menozzi@math.univ-paris-diderot.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Denis Diderot-Paris 7, Paris, France. E-mail: menozzi@math.univ-paris-diderot.fr","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I169173203"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071478997","display_name":"Laurent Mertz","orcid":"https://orcid.org/0000-0002-1339-1683"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR","HK"],"is_corresponding":false,"raw_author_name":"Laurent Mertz","raw_affiliation_strings":["Department of Statistics, The Chinese University of Hong Kong, Hong Kong. E-mail: mertz@sta.cuhk.edu.hk","Laboratoire Jacques-Louis Lions"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Chinese University of Hong Kong, Hong Kong. E-mail: mertz@sta.cuhk.edu.hk","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions","institution_ids":["https://openalex.org/I4210158291"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027426452"],"corresponding_institution_ids":["https://openalex.org/I14243506","https://openalex.org/I162577319","https://openalex.org/I57664883"],"apc_list":null,"apc_paid":null,"fwci":0.3471,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68214729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"80","issue":"1-2","first_page":"171","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9993000030517578,"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":0.9993000030517578,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9988999962806702,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9926999807357788,"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/variational-inequality","display_name":"Variational inequality","score":0.6816315650939941},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5465018153190613},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.517052948474884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.516865074634552},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.416881263256073},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40648597478866577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3523978590965271},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3303488492965698}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6816315650939941},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5465018153190613},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.517052948474884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.516865074634552},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.416881263256073},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40648597478866577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3523978590965271},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3303488492965698}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-2012-1109","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2012-1109","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01145550v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01145550","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0921-7134","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W13071395","https://openalex.org/W2002417086","https://openalex.org/W2011433098","https://openalex.org/W2042348470","https://openalex.org/W2059646501","https://openalex.org/W2074793157","https://openalex.org/W4292311687"],"related_works":["https://openalex.org/W2909053289","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W3131922696","https://openalex.org/W2104243281","https://openalex.org/W2946037075","https://openalex.org/W2755725405","https://openalex.org/W1967850176","https://openalex.org/W2011180822","https://openalex.org/W2061987434"],"abstract_inverted_index":{"In":[0,65,103,135],"a":[1,17,68,126],"previous":[2],"work":[3],"by":[4,48,118],"the":[5,35,42,46,57,86,98,130,141,151],"first":[6],"author":[7],"with":[8,29],"J.":[9],"Turi":[10],"[Appl.":[11],"Math.":[12],"Optim.":[13],"58(1)":[14],"(2008),":[15],"1\u201327],":[16],"stochastic":[18,36,115],"variational":[19,37,116],"inequality":[20,38],"has":[21],"been":[22],"introduced":[23],"to":[24,40,44,93,105,156],"model":[25],"an":[26,83,112],"elasto-plastic":[27],"oscillator":[28],"noise.":[30],"A":[31],"major":[32],"advantage":[33],"of":[34,59,70,85,114,129,153],"is":[39,54],"overcome":[41],"need":[43],"describe":[45],"trajectory":[47],"phases":[49,60,78,124],"(elastic":[50],"or":[51],"plastic).":[52],"This":[53],"useful,":[55],"since":[56],"sequence":[58],"cannot":[61],"be":[62],"characterized":[63],"easily.":[64],"particular,":[66],"when":[67,150],"change":[69],"regime":[71],"occurs,":[72],"there":[73],"are":[74],"numerous":[75],"small":[76,121],"elastic":[77,99,131],"which":[79],"may":[80],"appear":[81],"as":[82],"artefact":[84],"Wiener":[87],"process.":[88],"However,":[89],"it":[90],"remains":[91],"important":[92],"have":[94],"informations":[95],"on":[96,145],"both":[97],"and":[100,132],"plastic":[101,133],"phases.":[102],"order":[104],"reconcile":[106],"these":[107],"contradictory":[108],"issues,":[109],"we":[110,138],"introduce":[111],"approximation":[113],"inequalities":[117],"imposing":[119],"artificial":[120],"jumps":[122,154],"between":[123],"allowing":[125],"clear":[127],"separation":[128],"regimes.":[134],"this":[136],"work,":[137],"prove":[139],"that":[140],"approximate":[142],"solution":[143],"converges":[144],"any":[146],"finite":[147],"time":[148],"interval,":[149],"size":[152],"tends":[155],"0.":[157]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-10-10T00:00:00"}