{"id":"https://openalex.org/W4411092768","doi":"https://doi.org/10.3390/axioms14060448","title":"A Well-Posed Evolutionary Inclusion in Mechanics","display_name":"A Well-Posed Evolutionary Inclusion in Mechanics","publication_year":2025,"publication_date":"2025-06-06","ids":{"openalex":"https://openalex.org/W4411092768","doi":"https://doi.org/10.3390/axioms14060448"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14060448","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060448","pdf_url":"https://www.mdpi.com/2075-1680/14/6/448/pdf?version=1749213088","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/6/448/pdf?version=1749213088","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5117854187","display_name":"Rawane Mansour","orcid":null},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Rawane Mansour","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations, University of Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860 Perpignan, France"],"raw_orcid":"https://orcid.org/0009-0001-2019-0134","affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations, University of Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860 Perpignan, France","institution_ids":["https://openalex.org/I151295451"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028060890","display_name":"Mircea Sofonea","orcid":"https://orcid.org/0000-0002-6110-1433"},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Mircea Sofonea","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations, University of Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860 Perpignan, France"],"raw_orcid":"https://orcid.org/0000-0002-6110-1433","affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations, University of Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860 Perpignan, France","institution_ids":["https://openalex.org/I151295451"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028060890"],"corresponding_institution_ids":["https://openalex.org/I151295451"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04861124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"6","first_page":"448","last_page":"448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.3418999910354614,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.3418999910354614,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.3330000042915344,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12469","display_name":"Chaos, Complexity, and Education","score":0.30790001153945923,"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/inclusion","display_name":"Inclusion (mineral)","score":0.5454240441322327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3263664245605469},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.21551501750946045},{"id":"https://openalex.org/keywords/social-science","display_name":"Social science","score":0.11269539594650269}],"concepts":[{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.5454240441322327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3263664245605469},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.21551501750946045},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.11269539594650269}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14060448","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060448","pdf_url":"https://www.mdpi.com/2075-1680/14/6/448/pdf?version=1749213088","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ff3c52463f064b8880691dbc6223e525","is_oa":true,"landing_page_url":"https://doaj.org/article/ff3c52463f064b8880691dbc6223e525","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 6, p 448 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14060448","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060448","pdf_url":"https://www.mdpi.com/2075-1680/14/6/448/pdf?version=1749213088","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1537582284","display_name":"Mathematical, mechanical, and numerical modeling of stents in arterial tissues","funder_award_id":"ANR-24-CE46-7619","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5028828872","display_name":null,"funder_award_id":"ANR-24-CE46-7619 MaNStArT","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411092768.pdf","grobid_xml":"https://content.openalex.org/works/W4411092768.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W34508408","https://openalex.org/W128040763","https://openalex.org/W178448309","https://openalex.org/W611187539","https://openalex.org/W1460080534","https://openalex.org/W1490112587","https://openalex.org/W1979257760","https://openalex.org/W1990759037","https://openalex.org/W2035204833","https://openalex.org/W2091185799","https://openalex.org/W2101340781","https://openalex.org/W2499848210","https://openalex.org/W3014245167","https://openalex.org/W3151434165","https://openalex.org/W4206111119","https://openalex.org/W4238104808","https://openalex.org/W4248253146","https://openalex.org/W4292311687","https://openalex.org/W4327757284","https://openalex.org/W4366977306","https://openalex.org/W6676077120"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W3185553570","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890"],"abstract_inverted_index":{"We":[0,15,108],"consider":[1],"an":[2,11,61,79,83,92],"evolutionary":[3],"inclusion":[4],"associated":[5],"with":[6,28,33,91,103,126],"a":[7,17,34],"time-dependent":[8],"convex":[9],"in":[10,55,88,113],"abstract":[12,111],"Hilbert":[13],"space.":[14],"recall":[16],"unique":[18],"solvability":[19],"result":[20],"obtained":[21],"based":[22],"on":[23],"arguments":[24],"of":[25,50,78,116,123],"nonlinear":[26],"equations":[27],"maximal":[29],"monotone":[30],"operators":[31],"combined":[32],"penalty":[35],"method.":[36],"Then,":[37],"we":[38,46],"state":[39],"and":[40,82,98],"prove":[41],"two":[42,69],"well-posedness":[43],"results.":[44],"Next,":[45],"provide":[47,120],"three":[48],"examples":[49,70,118],"such":[51],"inclusions":[52],"that":[53,74],"arise":[54],"mechanics.":[56],"The":[57,94],"first":[58],"one":[59],"concerns":[60],"elastic\u2013perfectly":[62,84],"plastic":[63,85],"constitutive":[64],"law,":[65],"while":[66],"the":[67,76,99,104,114,121,124,129],"last":[68],"are":[71],"mathematical":[72],"models":[73],"describe":[75],"equilibrium":[77],"elastic":[80],"body":[81],"body,":[86],"respectively,":[87],"frictional":[89],"contact":[90,95],"obstacle.":[93],"is":[96,101],"bilateral":[97],"friction":[100,106],"modeled":[102],"Tresca":[105],"law.":[107],"use":[109],"our":[110],"results":[112],"study":[115],"these":[117],"to":[119,128],"convergence":[122],"solution":[125],"respect":[127],"data.":[130]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
