{"id":"https://openalex.org/W3021516030","doi":"https://doi.org/10.1137/19m1276984","title":"Existence and Regularity for Eddy Current System with Nonsmooth Conductivity","display_name":"Existence and Regularity for Eddy Current System with Nonsmooth Conductivity","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3021516030","doi":"https://doi.org/10.1137/19m1276984","mag":"3021516030"},"language":"en","primary_location":{"id":"doi:10.1137/19m1276984","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1276984","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://epubs.siam.org/doi/abs/10.1137/19M1276984","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087457379","display_name":"Elisa Francini","orcid":"https://orcid.org/0000-0002-5350-5673"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Elisa Francini","raw_affiliation_strings":["Unit\u00e0 di Ricerca indam di Firenze c / o dimai \"Ulisse Dini\" Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Unit\u00e0 di Ricerca indam di Firenze c / o dimai \"Ulisse Dini\" Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059899251","display_name":"Giovanni Franzina","orcid":"https://orcid.org/0000-0002-8274-3224"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Franzina","raw_affiliation_strings":["Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","Unit\u00e0 di Ricerca indam di Firenze c / o dimai \"Ulisse Dini\" Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Unit\u00e0 di Ricerca indam di Firenze c / o dimai \"Ulisse Dini\" Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016949094","display_name":"Sergio Vessella","orcid":"https://orcid.org/0000-0003-0139-8690"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sergio Vessella","raw_affiliation_strings":["Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","Unit\u00e0 di Ricerca indam di Firenze c / o dimai \"Ulisse Dini\" Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Unit\u00e0 di Ricerca indam di Firenze c / o dimai \"Ulisse Dini\" Universit\u00e0 degli Studi di Firenze Viale Morgagni 67/A, 50134 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087457379"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":0.2055,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.49420827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"52","issue":"2","first_page":"2134","last_page":"2157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11205","display_name":"Numerical methods in inverse problems","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9950000047683716,"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/uniqueness","display_name":"Uniqueness","score":0.8077860474586487},{"id":"https://openalex.org/keywords/eddy-current","display_name":"Eddy current","score":0.7763632535934448},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7468076944351196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7104684114456177},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6307128667831421},{"id":"https://openalex.org/keywords/conductivity","display_name":"Conductivity","score":0.6118429899215698},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6074680685997009},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.5467693209648132},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5213645696640015},{"id":"https://openalex.org/keywords/magneto","display_name":"Magneto","score":0.47839462757110596},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.4482088088989258},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21794584393501282},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.0720352828502655},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.055303990840911865}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8077860474586487},{"id":"https://openalex.org/C131357438","wikidata":"https://www.wikidata.org/wiki/Q208598","display_name":"Eddy current","level":2,"score":0.7763632535934448},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7468076944351196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7104684114456177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6307128667831421},{"id":"https://openalex.org/C131540310","wikidata":"https://www.wikidata.org/wiki/Q907564","display_name":"Conductivity","level":2,"score":0.6118429899215698},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6074680685997009},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.5467693209648132},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5213645696640015},{"id":"https://openalex.org/C171636128","wikidata":"https://www.wikidata.org/wiki/Q1307177","display_name":"Magneto","level":3,"score":0.47839462757110596},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.4482088088989258},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21794584393501282},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0720352828502655},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.055303990840911865},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/19m1276984","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1276984","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:flore.unifi.it:2158/1184190","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/abs/10.1137/19M1276984","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:flore.unifi.it:2158/1184190","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/abs/10.1137/19M1276984","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1980986689","https://openalex.org/W2007233211","https://openalex.org/W2010620057","https://openalex.org/W2015442042","https://openalex.org/W2015850027","https://openalex.org/W2019189801","https://openalex.org/W2075901560","https://openalex.org/W2123252306","https://openalex.org/W2124257557","https://openalex.org/W2128162818","https://openalex.org/W2339994865","https://openalex.org/W3099237529"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W2340777379"],"abstract_inverted_index":{"We":[0,26],"discuss":[1],"the":[2,5,28,42],"well-posedness":[3],"of":[4,11,32],"\u201ctransient":[6],"eddy":[7],"current\"":[8],"magneto-quasi-static":[9],"approximation":[10],"Maxwell's":[12],"initial":[13],"value":[14],"problem":[15],"with":[16,21],"bounded":[17],"and":[18,30,35],"measurable":[19],"conductivity,":[20],"sources,":[22],"on":[23],"a":[24],"domain.":[25],"prove":[27],"existence":[29],"uniqueness":[31],"weak":[33],"solutions,":[34],"we":[36],"provide":[37],"global":[38],"H\u00f6lder":[39],"estimates":[40],"for":[41],"magnetic":[43],"part.":[44]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
