{"id":"https://openalex.org/W2964313217","doi":"https://doi.org/10.1137/18m1171783","title":"Nonlocal Conservation Laws in Bounded Domains","display_name":"Nonlocal Conservation Laws in Bounded Domains","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2964313217","doi":"https://doi.org/10.1137/18m1171783","mag":"2964313217"},"language":"en","primary_location":{"id":"doi:10.1137/18m1171783","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1171783","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/A5088590159","display_name":"Rinaldo M. Colombo","orcid":"https://orcid.org/0000-0003-0459-585X"},"institutions":[{"id":"https://openalex.org/I30667456","display_name":"Brescia University","ror":"https://ror.org/015ahgd08","country_code":"US","type":"education","lineage":["https://openalex.org/I30667456"]},{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT","US"],"is_corresponding":false,"raw_author_name":"Rinaldo M. Colombo","raw_affiliation_strings":["UniBs - Universit\u00e0 degli Studi di Brescia = University of Brescia (Piazza del Mercato, 15 - 25121 Brescia - Italie)"],"raw_orcid":"https://orcid.org/0000-0003-0459-585X","affiliations":[{"raw_affiliation_string":"UniBs - Universit\u00e0 degli Studi di Brescia = University of Brescia (Piazza del Mercato, 15 - 25121 Brescia - Italie)","institution_ids":["https://openalex.org/I79940851","https://openalex.org/I30667456"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032230398","display_name":"Elena Rossi","orcid":"https://orcid.org/0000-0002-3565-4309"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elena Rossi","raw_affiliation_strings":["ACUMES - Analysis and Control of Unsteady Models for Engineering Sciences (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ACUMES - Analysis and Control of Unsteady Models for Engineering Sciences (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0002,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.93327445,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"50","issue":"4","first_page":"4041","last_page":"4065"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9977999925613403,"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":0.8985552787780762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8338760137557983},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.8320866823196411},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6095300316810608},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.58132004737854},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5506269335746765},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.531588613986969},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5079334378242493},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4633515477180481},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4140661358833313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07233381271362305}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8985552787780762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8338760137557983},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8320866823196411},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6095300316810608},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.58132004737854},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5506269335746765},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.531588613986969},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5079334378242493},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4633515477180481},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4140661358833313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07233381271362305},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m1171783","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1171783","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:boa.unimib.it:10281/229578","is_oa":false,"landing_page_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1171783","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:boa.unimib.it:10281/231827","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/231827","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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"},{"id":"pmh:oai:iris.unibs.it:11379/508667","is_oa":false,"landing_page_url":"http://hdl.handle.net/11379/508667","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":[{"id":"https://metadata.un.org/sdg/15","score":0.6499999761581421,"display_name":"Life in Land"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320324342","display_name":"Universit\u00e0 degli Studi di Brescia","ror":"https://ror.org/02q2d2610"},{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1986443345","https://openalex.org/W2009713111","https://openalex.org/W2033272932","https://openalex.org/W2033676225","https://openalex.org/W2033921269","https://openalex.org/W2038587098","https://openalex.org/W2049059452","https://openalex.org/W2063974606","https://openalex.org/W2067488678","https://openalex.org/W2075610411","https://openalex.org/W2116570517","https://openalex.org/W2123005879","https://openalex.org/W2131754142","https://openalex.org/W2144289036","https://openalex.org/W2164278186","https://openalex.org/W2170725848","https://openalex.org/W2395691577","https://openalex.org/W2520551334","https://openalex.org/W2567660062","https://openalex.org/W2618274270","https://openalex.org/W2963467870","https://openalex.org/W3099279206","https://openalex.org/W3103022821"],"related_works":["https://openalex.org/W2315570462","https://openalex.org/W4294364856","https://openalex.org/W2164522043","https://openalex.org/W2299552569","https://openalex.org/W4361796174","https://openalex.org/W2529017546","https://openalex.org/W4311946102","https://openalex.org/W4383216082","https://openalex.org/W2102369687","https://openalex.org/W2964287305"],"abstract_inverted_index":{"The":[0],"well":[1],"posedness":[2],"for":[3],"a":[4,13,39,47],"class":[5],"of":[6,9,31,46],"nonlocal":[7,40],"systems":[8],"conservation":[10],"laws":[11],"in":[12],"bounded":[14],"domain":[15],"is":[16,26],"proved":[17],"and":[18],"various":[19],"stability":[20],"estimates":[21],"are":[22],"provided.":[23],"This":[24],"construction":[25],"motivated":[27],"by":[28],"the":[29,44,53],"modeling":[30],"crowd":[32],"dynamics,":[33],"which":[34],"also":[35],"leads":[36],"to":[37,43],"defining":[38],"operator":[41],"adapted":[42],"presence":[45],"boundary.":[48],"Numerical":[49],"integrations":[50],"show":[51],"that":[52],"resulting":[54],"model":[55],"provides":[56],"qualitatively":[57],"reasonable":[58],"solutions.":[59]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2019-07-30T00:00:00"}
