{"id":"https://openalex.org/W2240307629","doi":"https://doi.org/10.1137/16m1096098","title":"Convergence of Interaction-Driven Evolutions of Dislocations with Wasserstein Dissipation and Slip-Plane Confinement","display_name":"Convergence of Interaction-Driven Evolutions of Dislocations with Wasserstein Dissipation and Slip-Plane Confinement","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2240307629","doi":"https://doi.org/10.1137/16m1096098","mag":"2240307629"},"language":"en","primary_location":{"id":"doi:10.1137/16m1096098","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1096098","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.tue.nl/en/publications/184f7a03-3d08-417f-bd93-43e5cba214f1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074766221","display_name":"Maria Giovanna Mora","orcid":"https://orcid.org/0000-0002-7456-0065"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maria Giovanna Mora","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pavia, 27100 Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pavia, 27100 Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077512722","display_name":"Mark A. Peletier","orcid":"https://orcid.org/0000-0001-9663-3694"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Mark A. Peletier","raw_affiliation_strings":["Department of Mathematics and Computer Science and Institute for Complex Molecular Sys-tems, TU Eindhoven, 5600 MB Eindhoven, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science and Institute for Complex Molecular Sys-tems, TU Eindhoven, 5600 MB Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007098358","display_name":"Lucia Scardia","orcid":"https://orcid.org/0000-0003-2957-043X"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lucia Scardia","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, BA2 7AY Bath, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, BA2 7AY Bath, United Kingdom","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2887,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.92501634,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"49","issue":"5","first_page":"4149","last_page":"4205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10204","display_name":"Microstructure and mechanical properties","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6864094734191895},{"id":"https://openalex.org/keywords/slip","display_name":"Slip (aerodynamics)","score":0.6124181151390076},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.5836411714553833},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5099309682846069},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49788331985473633},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4309404492378235},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3644830584526062},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24365299940109253},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08845597505569458}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6864094734191895},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.6124181151390076},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.5836411714553833},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5099309682846069},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49788331985473633},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4309404492378235},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3644830584526062},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24365299940109253},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08845597505569458},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/16m1096098","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1096098","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:pure.tue.nl:openaire/184f7a03-3d08-417f-bd93-43e5cba214f1","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/184f7a03-3d08-417f-bd93-43e5cba214f1","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mora, M G, Peletier, M A & Scardia, L 2017, 'Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement', SIAM Journal on Mathematical Analysis, vol. 49, no. 5, pp. 4149-4205. https://doi.org/10.1137/16M1096098","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:1409.4236","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.4236","pdf_url":"https://arxiv.org/pdf/1409.4236","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":"","raw_type":"text"},{"id":"pmh:oai:purehost.bath.ac.uk:openaire_cris_publications/dd4ef98a-ccca-4b9d-b59c-e1b6f3481582","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/dd4ef98a-ccca-4b9d-b59c-e1b6f3481582","pdf_url":"https://purehost.bath.ac.uk/ws/files/158378376/Convergence_of_interaction_driven_evolutions_accepted_manuscript.pdf","source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mora, M G, Peletier, M & Scardia, L 2017, 'Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement', SIAM Journal on Mathematical Analysis (SIMA), vol. 49, no. 5, pp. 4149\u20134205. https://doi.org/10.1137/16M1096098","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:purehost.bath.ac.uk:publications/dd4ef98a-ccca-4b9d-b59c-e1b6f3481582","is_oa":false,"landing_page_url":"https://arxiv.org/abs/1409.4236","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:tue:oai:pure.tue.nl:publications/184f7a03-3d08-417f-bd93-43e5cba214f1","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/184f7a03-3d08-417f-bd93-43e5cba214f1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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, 49(5), 4149 - 4205. Society for Industrial and Applied Mathematics (SIAM)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:openaire/184f7a03-3d08-417f-bd93-43e5cba214f1","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/184f7a03-3d08-417f-bd93-43e5cba214f1","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mora, M G, Peletier, M A & Scardia, L 2017, 'Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement', SIAM Journal on Mathematical Analysis, vol. 49, no. 5, pp. 4149-4205. https://doi.org/10.1137/16M1096098","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6600000262260437}],"awards":[{"id":"https://openalex.org/G2203272493","display_name":null,"funder_award_id":"290888","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G2279801221","display_name":null,"funder_award_id":"645.000.012","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G2292257045","display_name":null,"funder_award_id":"639.033.008","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G538149374","display_name":"Dislocation patterns beyond optimality","funder_award_id":"EP/N035631/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5873640681","display_name":null,"funder_award_id":"EP/N035631/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8545620831","display_name":null,"funder_award_id":"290888","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320174","display_name":"Carnegie Trust for the Universities of Scotland","ror":"https://ror.org/00dfrzy25"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1976044055","https://openalex.org/W1981099137","https://openalex.org/W1987100075","https://openalex.org/W1987452423","https://openalex.org/W1992225844","https://openalex.org/W2002848107","https://openalex.org/W2005585244","https://openalex.org/W2006484795","https://openalex.org/W2026868208","https://openalex.org/W2032744823","https://openalex.org/W2046646196","https://openalex.org/W2047816899","https://openalex.org/W2047948718","https://openalex.org/W2051764542","https://openalex.org/W2054688280","https://openalex.org/W2056773849","https://openalex.org/W2062608084","https://openalex.org/W2064683854","https://openalex.org/W2076572527","https://openalex.org/W2082673688","https://openalex.org/W2086844689","https://openalex.org/W2105814348","https://openalex.org/W2119906558","https://openalex.org/W2145894459","https://openalex.org/W2160759935","https://openalex.org/W2165803929","https://openalex.org/W2963525268","https://openalex.org/W3100019576"],"related_works":["https://openalex.org/W2347486132","https://openalex.org/W2316789606","https://openalex.org/W2350340797","https://openalex.org/W4293224283","https://openalex.org/W2950501077","https://openalex.org/W2368601041","https://openalex.org/W2079984045","https://openalex.org/W2582182843","https://openalex.org/W2549201271","https://openalex.org/W4252675521"],"abstract_inverted_index":{"We":[0,28,73,141],"consider":[1,74],"systems":[2],"of":[3,32,37,41,56,64,67,82,97,104,144,172],"$n$":[4],"parallel":[5],"edge":[6],"dislocations":[7,43,84],"in":[8,16,35,49,78,102],"a":[9,17,26,95,105],"single":[10],"slip":[11,90],"system,":[12],"represented":[13],"by":[14],"points":[15],"two-dimensional":[18],"domain;":[19],"the":[20,30,38,42,50,57,62,65,68,80,83,88,98,114,120,129,134,157,160,170,173],"elastic":[21,130],"medium":[22],"is":[23,59,85,110,117,122],"modeled":[24],"as":[25,71,176],"continuum.":[27],"formulate":[29],"energy":[31,131],"this":[33,145,165],"system":[34],"terms":[36,103],"empirical":[39,69],"measure":[40,70],"and":[44,148,159],"prove":[45,142,169],"several":[46],"convergence":[47,63,171],"results":[48],"limit":[51],"$n\\to\\infty$.":[52,72,177],"The":[53],"main":[54],"aim":[55],"paper":[58],"to":[60,87,94,132],"study":[61],"evolution":[66,100],"rate-independent,":[75],"quasi-static":[76,99,174],"evolutions,":[77],"which":[79,109,155],"motion":[81],"restricted":[86],"same":[89],"plane.":[91],"This":[92],"leads":[93],"formulation":[96],"problem":[101],"modified":[106,161],"Wasserstein":[107],"distance,":[108],"only":[111],"finite":[112],"when":[113],"transport":[115],"plan":[116],"slip-plane-confined.":[118],"Since":[119],"focus":[121],"on":[123],"interaction":[124],"between":[125],"dislocations,":[126],"we":[127,149,168],"renormalize":[128],"remove":[133],"potentially":[135],"large":[136],"self-":[137],"or":[138],"core":[139],"energy.":[140],"Gamma-convergence":[143,167],"renormalized":[146],"energy,":[147],"construct":[150],"joint":[151],"recovery":[152],"sequences":[153],"for":[154],"both":[156],"energies":[158],"distances":[162],"converge.":[163],"With":[164],"augmented":[166],"evolutions":[175]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2022-10-03T00:00:00"}
