{"id":"https://openalex.org/W4393049991","doi":"https://doi.org/10.1137/22m1530471","title":"Conservation Laws with Nonlocal Velocity: The Singular Limit Problem","display_name":"Conservation Laws with Nonlocal Velocity: The Singular Limit Problem","publication_year":2024,"publication_date":"2024-03-21","ids":{"openalex":"https://openalex.org/W4393049991","doi":"https://doi.org/10.1137/22m1530471"},"language":"en","primary_location":{"id":"doi:10.1137/22m1530471","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530471","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5101842842","display_name":"Jan Friedrich","orcid":"https://orcid.org/0000-0002-6961-8998"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jan Friedrich","raw_affiliation_strings":["Institute of Applied Mathematics, RWTH Aachen University, 52064 Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-6961-8998","affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, RWTH Aachen University, 52064 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042598893","display_name":"Simone G\u00f6ttlich","orcid":"https://orcid.org/0000-0002-8512-4525"},"institutions":[{"id":"https://openalex.org/I177802217","display_name":"University of Mannheim","ror":"https://ror.org/031bsb921","country_code":"DE","type":"education","lineage":["https://openalex.org/I177802217"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Simone G\u00f6ttlich","raw_affiliation_strings":["Department of Mathematics, University of Mannheim, 68131 Mannheim, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8512-4525","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Mannheim, 68131 Mannheim, Germany","institution_ids":["https://openalex.org/I177802217"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007232092","display_name":"Alexander Keimer","orcid":"https://orcid.org/0000-0003-3825-5853"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Keimer","raw_affiliation_strings":["Institute of Transportation Studies, UC Berkeley, Berkeley, CA 94720 USA; Department Mathematik, Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstr. 11, 91058 Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-3825-5853","affiliations":[{"raw_affiliation_string":"Institute of Transportation Studies, UC Berkeley, Berkeley, CA 94720 USA; Department Mathematik, Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstr. 11, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069223642","display_name":"Lukas Pflug","orcid":"https://orcid.org/0000-0001-8001-5832"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lukas Pflug","raw_affiliation_strings":["Competence Unit for Scientific Computing, Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstr. 5a, 91058 Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8001-5832","affiliations":[{"raw_affiliation_string":"Competence Unit for Scientific Computing, Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstr. 5a, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101842842"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":6.557,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97076453,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"84","issue":"2","first_page":"497","last_page":"522"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9991999864578247,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6895245313644409},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.6669104099273682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5569822788238525},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4500739872455597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32507747411727905}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6895245313644409},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6669104099273682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5569822788238525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4500739872455597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32507747411727905}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1530471","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530471","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ub-madoc.bib.uni-mannheim.de:68090","is_oa":false,"landing_page_url":"https://madoc.bib.uni-mannheim.de/68090/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196315","display_name":"MADOC (University of Mannheim)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177802217","host_organization_name":"University of Mannheim","host_organization_lineage":["https://openalex.org/I177802217"],"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":"NonPeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G1138279206","display_name":null,"funder_award_id":"HE 5386/22-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G2303306564","display_name":null,"funder_award_id":"GO 1920/12-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3252609047","display_name":null,"funder_award_id":"FR 4850/1-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6060539746","display_name":null,"funder_award_id":"HE 5386/19-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7387097662","display_name":null,"funder_award_id":"GO 1920/10-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7758169449","display_name":null,"funder_award_id":"HE 5386/18-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G887246578","display_name":null,"funder_award_id":"HE 5386/23-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1545761024","https://openalex.org/W1570562155","https://openalex.org/W1972834576","https://openalex.org/W1986443345","https://openalex.org/W1992812527","https://openalex.org/W2009713111","https://openalex.org/W2063974606","https://openalex.org/W2066097968","https://openalex.org/W2104993338","https://openalex.org/W2123005879","https://openalex.org/W2164278186","https://openalex.org/W2170725848","https://openalex.org/W2171722718","https://openalex.org/W2395691577","https://openalex.org/W2405396227","https://openalex.org/W2505141734","https://openalex.org/W2510419017","https://openalex.org/W2520551334","https://openalex.org/W2567660062","https://openalex.org/W2618274270","https://openalex.org/W2737521846","https://openalex.org/W2798744386","https://openalex.org/W2809196836","https://openalex.org/W2883623906","https://openalex.org/W2903839754","https://openalex.org/W2924883007","https://openalex.org/W2963110170","https://openalex.org/W2964058638","https://openalex.org/W2967761564","https://openalex.org/W2970030396","https://openalex.org/W2970980788","https://openalex.org/W2981197727","https://openalex.org/W2986787837","https://openalex.org/W2999386308","https://openalex.org/W3008708333","https://openalex.org/W3030518995","https://openalex.org/W3101592887","https://openalex.org/W3115175543","https://openalex.org/W3117315487","https://openalex.org/W3128357690","https://openalex.org/W3178730359","https://openalex.org/W3191799809","https://openalex.org/W3205048140","https://openalex.org/W4205460823","https://openalex.org/W4213354557","https://openalex.org/W4283273950","https://openalex.org/W4322505093","https://openalex.org/W4388322678"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1995118522","https://openalex.org/W64916076","https://openalex.org/W2090020940","https://openalex.org/W2142036596","https://openalex.org/W4364366001"],"abstract_inverted_index":{".We":[0],"consider":[1],"conservation":[2,40,158,181,199,211],"laws":[3,182],"with":[4],"nonlocal":[5,10,44,63,185,208],"velocity":[6,210],"and":[7,89,162],"show,":[8],"for":[9,105,141,196,207],"weights":[11],"of":[12,30,37,92,122,156],"exponential":[13],"type,":[14],"that":[15,96,119,167],"the":[16,28,31,34,38,43,62,72,75,79,112,120,123,137,146,154,171,187],"unique":[17],"solutions":[18],"converge":[19],"in":[20,74,170,186,190,201,209],"a":[21,47,56,85,93,97,168,184],"weak":[22,76],"or":[23],"strong":[24],"sense":[25],"(dependent":[26],"on":[27,61,111],"regularity":[29],"velocity)":[32],"to":[33,69,71,133,136,178],"entropy":[35,81,139,204],"solution":[36,140,188],"local":[39,138,157,180],"law":[41],"when":[42],"weight":[45],"approaches":[46],"Dirac":[48],"distribution.":[49],"To":[50],"this":[51],"end,":[52],"we":[53,83,117],"first":[54],"establish":[55],"uniform":[57],"total":[58],"variation":[59],"bound":[60],"velocity,":[64],"which":[65,130,191],"can":[66],"be":[67,175],"used":[68],"pass":[70],"limit":[73,206],"solution.":[77],"For":[78,114],"required":[80],"admissibility,":[82],"use":[84],"tailored":[86],"entropy-flux":[87,101],"pair":[88,102],"take":[90],"advantage":[91],"well-known":[94],"result":[95],"single":[98],"strictly":[99],"convex":[100],"is":[103,126,149],"sufficient":[104],"uniqueness,":[106],"given":[107],"some":[108],"additional":[109],"constraints":[110],"velocity.":[113],"general":[115,143],"weights,":[116],"show":[118],"monotonicity":[121,193],"initial":[124,147],"datum":[125,148],"preserved":[127],"over":[128],"time,":[129],"enables":[131],"us":[132],"prove":[134],"convergence":[135],"rather":[142],"kernels":[144],"if":[145],"monotone.":[150],"This":[151],"case":[152],"covers":[153],"archetypes":[155],"laws:":[159],"shock":[160],"waves":[161],"rarefactions.":[163],"These":[164],"results":[165],"suggest":[166],"\"nonlocal":[169],"velocity\"":[172],"approximation":[173],"might":[174],"better":[176],"suited":[177],"approximating":[179],"than":[183],"approximation,":[189],"such":[192],"only":[194],"holds":[195],"specific":[197],"velocities.Keywordsnonlocal":[198],"lawnonlocal":[200],"velocitysingular":[202],"limitweak":[203],"solutionsingular":[205],"lawsMSC":[212],"codes35L6535L9934A36":[213]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
