{"id":"https://openalex.org/W2787019074","doi":"https://doi.org/10.1137/17m1120658","title":"An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities","display_name":"An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2787019074","doi":"https://doi.org/10.1137/17m1120658","mag":"2787019074"},"language":"en","primary_location":{"id":"doi:10.1137/17m1120658","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1120658","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.04279","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018944126","display_name":"Samir Adly","orcid":"https://orcid.org/0000-0002-4375-0106"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. Adly","raw_affiliation_strings":["Math\u00e9matiques & S\u00e9curit\u00e9 de l'information"],"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques & S\u00e9curit\u00e9 de l'information","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049707341","display_name":"Tahar Haddad","orcid":"https://orcid.org/0000-0001-6899-8776"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"T. Haddad","raw_affiliation_strings":["Laboratoire de math\u00e9matiques pures et appliqu\u00e9es, univ. de Jijel"],"affiliations":[{"raw_affiliation_string":"Laboratoire de math\u00e9matiques pures et appliqu\u00e9es, univ. de Jijel","institution_ids":["https://openalex.org/I4210155549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018944126"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2137,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52075656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"50","issue":"1","first_page":"761","last_page":"778"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9997000098228455,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9997000098228455,"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/T11062","display_name":"Gear and Bearing Dynamics Analysis","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T11799","display_name":"Adhesion, Friction, and Surface Interactions","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quasistatic-process","display_name":"Quasistatic process","score":0.9711707830429077},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.780752956867218},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7379620671272278},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6068602800369263},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5459443926811218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5290479063987732},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4567919075489044},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4567180871963501},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45505741238594055},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.361346960067749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27233511209487915},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.156122088432312},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1493101716041565},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0808652937412262}],"concepts":[{"id":"https://openalex.org/C4708273","wikidata":"https://www.wikidata.org/wiki/Q900222","display_name":"Quasistatic process","level":2,"score":0.9711707830429077},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.780752956867218},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7379620671272278},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6068602800369263},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5459443926811218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5290479063987732},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4567919075489044},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4567180871963501},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45505741238594055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.361346960067749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27233511209487915},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.156122088432312},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1493101716041565},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0808652937412262},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/17m1120658","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1120658","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.04279","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.04279","pdf_url":"https://arxiv.org/pdf/1805.04279","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2787019074","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1805.04279.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-01710102v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01710102","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2018, 50 (1), pp.761 - 778. &#x27E8;10.1137/17M1120658&#x27E9;","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1805.04279","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.04279","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.04279","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.04279","pdf_url":"https://arxiv.org/pdf/1805.04279","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.7599999904632568,"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":8,"referenced_works":["https://openalex.org/W323817416","https://openalex.org/W1531856058","https://openalex.org/W1970735217","https://openalex.org/W1983730159","https://openalex.org/W2016641170","https://openalex.org/W2061175874","https://openalex.org/W2288394564","https://openalex.org/W2530001895"],"related_works":["https://openalex.org/W2899110054","https://openalex.org/W2476105618","https://openalex.org/W1981632341","https://openalex.org/W2998360866","https://openalex.org/W2105213220","https://openalex.org/W3016515360","https://openalex.org/W1991133192","https://openalex.org/W2347000239","https://openalex.org/W2043183080","https://openalex.org/W2962100080","https://openalex.org/W2049155473","https://openalex.org/W3013384514","https://openalex.org/W2080880708","https://openalex.org/W2292527003","https://openalex.org/W2059357542","https://openalex.org/W2748200899","https://openalex.org/W2063588701","https://openalex.org/W3133652951","https://openalex.org/W2110717861","https://openalex.org/W2051771629"],"abstract_inverted_index":{"In":[0],"this":[1,35,46],"paper,":[2],"we":[3,24,82],"study":[4],"a":[5,38,51],"new":[6,130],"variant":[7],"of":[8,20,34,64],"Moreau's":[9,21],"sweeping":[10,48,100,110],"process":[11,49,101,111],"with":[12,68,94,102],"velocity":[13,103],"constraint.":[14,104],"Based":[15],"on":[16],"an":[17,75,80,98],"adapted":[18],"version":[19],"catching-up":[22],"algorithm,":[23],"show":[25,42],"the":[26,29,43,61,84,108,113,132],"well-posedness":[27],"(in":[28],"sense":[30],"existence":[31],"and":[32,50,71,112,128],"uniqueness)":[33],"problem":[36,89],"in":[37,131],"general":[39],"framework.":[40],"We":[41],"equivalence":[44],"between":[45,107],"implicit":[47,99,109],"quasistatic":[52,85,114],"evolution":[53,76,115],"variational":[54,62,77,116],"inequality.":[55,78],"It":[56],"is":[57,118,129],"well":[58],"known":[59],"that":[60],"formulations":[63],"many":[65],"mechanical":[66],"problems":[67],"unilateral":[69],"contact":[70,88],"friction":[72],"lead":[73],"to":[74,121],"As":[79],"application,":[81],"reformulate":[83],"antiplane":[86],"frictional":[87],"for":[90],"linear":[91],"elastic":[92],"materials":[93],"short":[95],"memory":[96],"as":[97],"The":[105],"link":[106],"inequality":[117],"possible":[119],"thanks":[120],"some":[122],"standard":[123],"tools":[124],"from":[125],"convex":[126],"analysis":[127],"literature.":[133]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
