{"id":"https://openalex.org/W1976080628","doi":"https://doi.org/10.1137/14096075x","title":"BV Solutions of Hyperbolic Balance Laws with Relaxation in the Absence of Conserved Quantities","display_name":"BV Solutions of Hyperbolic Balance Laws with Relaxation in the Absence of Conserved Quantities","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1976080628","doi":"https://doi.org/10.1137/14096075x","mag":"1976080628"},"language":"en","primary_location":{"id":"doi:10.1137/14096075x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/14096075x","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/A5019965915","display_name":"Constantine M. Dafermos","orcid":"https://orcid.org/0000-0002-0407-6198"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Constantine M. Dafermos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5019965915"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3685,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.77619779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":"6","first_page":"4014","last_page":"4034"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9990000128746033,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8324116468429565},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.7835747003555298},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7697765827178955},{"id":"https://openalex.org/keywords/conserved-quantity","display_name":"Conserved quantity","score":0.7275503277778625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6067137122154236},{"id":"https://openalex.org/keywords/balance","display_name":"Balance (ability)","score":0.5887686014175415},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5317593812942505},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5145706534385681},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.48852837085723877},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4827970266342163},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.2245284914970398},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20454153418540955},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15886113047599792},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05720457434654236}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8324116468429565},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.7835747003555298},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7697765827178955},{"id":"https://openalex.org/C71914180","wikidata":"https://www.wikidata.org/wiki/Q1071013","display_name":"Conserved quantity","level":2,"score":0.7275503277778625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6067137122154236},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.5887686014175415},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5317593812942505},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5145706534385681},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.48852837085723877},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4827970266342163},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2245284914970398},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20454153418540955},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15886113047599792},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05720457434654236},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C99508421","wikidata":"https://www.wikidata.org/wiki/Q2678675","display_name":"Physical medicine and rehabilitation","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/14096075x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/14096075x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1983294494","https://openalex.org/W2013792702","https://openalex.org/W2037295297","https://openalex.org/W2047601974","https://openalex.org/W2048818396","https://openalex.org/W2054077799","https://openalex.org/W2067207246","https://openalex.org/W2078087062","https://openalex.org/W2091080301","https://openalex.org/W2565988985","https://openalex.org/W4253909040"],"related_works":["https://openalex.org/W4298347346","https://openalex.org/W2949323683","https://openalex.org/W2536714846","https://openalex.org/W2067417811","https://openalex.org/W2382758592","https://openalex.org/W4388307335","https://openalex.org/W2073170593","https://openalex.org/W4319459688","https://openalex.org/W4319590218","https://openalex.org/W2000983800"],"abstract_inverted_index":{"The":[0,25],"paper":[1],"establishes":[2],"the":[3,28,39],"existence":[4],"and":[5],"long":[6],"time":[7],"behavior":[8],"of":[9,16,27],"BV":[10],"solutions":[11],"to":[12,36],"a":[13,52],"hyperbolic":[14],"system":[15],"balance":[17],"laws":[18],"with":[19],"partially":[20],"dissipative":[21],"source,":[22],"manifesting":[23],"relaxation.":[24],"component":[26],"state":[29],"vector":[30],"that":[31],"is":[32,45],"actively":[33],"damped":[34],"decays":[35],"zero,":[37],"while":[38],"complementary":[40],"component,":[41],"whose":[42],"total":[43],"mass":[44],"not":[46],"necessarily":[47],"conserved,":[48],"behaves":[49],"asymptotically":[50],"as":[51],"heat":[53],"kernel.":[54]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
