{"id":"https://openalex.org/W4415847897","doi":"https://doi.org/10.1137/24m1686346","title":"Initial Data Identification for Conservation Laws with Spatially Discontinuous Flux","display_name":"Initial Data Identification for Conservation Laws with Spatially Discontinuous Flux","publication_year":2025,"publication_date":"2025-11-04","ids":{"openalex":"https://openalex.org/W4415847897","doi":"https://doi.org/10.1137/24m1686346"},"language":"en","primary_location":{"id":"doi:10.1137/24m1686346","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1686346","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040865071","display_name":"Fabio Ancona","orcid":"https://orcid.org/0000-0002-2686-5470"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Ancona","raw_affiliation_strings":["Dipartimento di Matematica \u201cTullio Levi Civita\u201d, Universit\u00e1 di Padova, Padova, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2686-5470","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u201cTullio Levi Civita\u201d, Universit\u00e1 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5094346920","display_name":"Luca Talamini","orcid":null},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Talamini","raw_affiliation_strings":["Mathematics Area, SISSA, Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Area, SISSA, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22421073,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"6","first_page":"6144","last_page":"6189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.33169999718666077,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.33169999718666077,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.20059999823570251,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.045899998396635056,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7771999835968018},{"id":"https://openalex.org/keywords/flux","display_name":"Flux (metallurgy)","score":0.4968999922275543},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.44839999079704285},{"id":"https://openalex.org/keywords/noisy-data","display_name":"Noisy data","score":0.30250000953674316},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.289900004863739},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.27320000529289246}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7771999835968018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7099999785423279},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5238000154495239},{"id":"https://openalex.org/C68709404","wikidata":"https://www.wikidata.org/wiki/Q1134475","display_name":"Flux (metallurgy)","level":2,"score":0.4968999922275543},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.44839999079704285},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3668999969959259},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.289900004863739},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.27320000529289246},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.26440000534057617},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.26440000534057617},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2621999979019165},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.258899986743927}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1686346","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1686346","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:www.research.unipd.it:11577/3588473","is_oa":false,"landing_page_url":"https://epubs.siam.org/doi/epdf/10.1137/24M1686346","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1510319310","https://openalex.org/W1573860137","https://openalex.org/W1794936996","https://openalex.org/W1973680096","https://openalex.org/W1985637508","https://openalex.org/W1989037733","https://openalex.org/W2000084698","https://openalex.org/W2004124997","https://openalex.org/W2006941048","https://openalex.org/W2010685672","https://openalex.org/W2018342837","https://openalex.org/W2025298604","https://openalex.org/W2028684550","https://openalex.org/W2035668475","https://openalex.org/W2036910913","https://openalex.org/W2037377525","https://openalex.org/W2041763847","https://openalex.org/W2055688765","https://openalex.org/W2059082966","https://openalex.org/W2067973271","https://openalex.org/W2069739494","https://openalex.org/W2072472676","https://openalex.org/W2142872653","https://openalex.org/W2166726698","https://openalex.org/W2591123897","https://openalex.org/W2591830012","https://openalex.org/W3011733363","https://openalex.org/W3040976320","https://openalex.org/W3105248177","https://openalex.org/W3109748076","https://openalex.org/W4238313514","https://openalex.org/W4239495740","https://openalex.org/W4286792204","https://openalex.org/W4308030631","https://openalex.org/W4364373182","https://openalex.org/W4384642582","https://openalex.org/W4405510435"],"related_works":[],"abstract_inverted_index":{"We":[0,63],"consider":[1],"a":[2,7,12,51,58,65,70,134],"scalar":[3],"conservation":[4,108],"law":[5],"with":[6,29,110],"spatially":[8],"discontinuous":[9],"flux":[10,112],"at":[11,57],"single":[13],"point":[14],"x":[15],"=0,":[16],"and":[17,78,82,132],"we":[18,79],"study":[19],"the":[20,39,46,92,105,115,122,125],"initial":[21,42,93],"data":[22,43],"identification":[23],"problem":[24,35],"for":[25,140],"AB-entropy":[26,48,141],"solutions":[27,142],"associated":[28],"an":[30],"interface":[31],"connection":[32],"(A,B).":[33],"This":[34],"consists":[36],"in":[37,72,99,130,144],"identifying":[38],"set":[40,71,94],"of":[41,68,74,85,91,107,114,124,137],"driven":[44],"by":[45],"corresponding":[47],"solution":[49],"to":[50],"given":[52],"target":[53],"profile":[54],"(formula":[55],"presenetd),":[56],"time":[59],"horizon":[60],"T":[61],">0.":[62],"provide":[64],"full":[66],"characterization":[67],"such":[69],"terms":[73],"suitable":[75],"integral":[76],"inequalities,":[77],"establish":[80],"structural":[81],"geometrical":[83],"properties":[84,123],"this":[86,145],"set.":[87],"A":[88],"distinctive":[89],"feature":[90],"is":[95,98],"that":[96],"it":[97],"general":[100],"not":[101],"convex,":[102],"differently":[103],"from":[104],"case":[106],"laws":[109],"convex":[111],"independent":[113],"space":[116],"variable.":[117],"The":[118],"results":[119],"rely":[120],"on":[121,133],"AB-backward-forward":[126],"evolution":[127],"operator":[128],"introduced":[129],"[4],":[131],"proper":[135],"concept":[136],"AB-genuine/interface":[138],"characteristic":[139],"provided":[143],"paper.":[146]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-11-04T00:00:00"}