{"id":"https://openalex.org/W2040554185","doi":"https://doi.org/10.1007/s00211-007-0069-y","title":"Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem","display_name":"Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem","publication_year":2007,"publication_date":"2007-03-29","ids":{"openalex":"https://openalex.org/W2040554185","doi":"https://doi.org/10.1007/s00211-007-0069-y","mag":"2040554185"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-007-0069-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-007-0069-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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/A5041159863","display_name":"Matania Ben\u2010Artzi","orcid":"https://orcid.org/0000-0002-6782-4085"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Matania Ben-Artzi","raw_affiliation_strings":["Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel","The Hebrew University of Jerusalem, Institute of Mathematics, 91904, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"The Hebrew University of Jerusalem, Institute of Mathematics, 91904, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073427186","display_name":"Jiequan Li","orcid":"https://orcid.org/0000-0002-0615-9886"},"institutions":[{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiequan Li","raw_affiliation_strings":["School of Mathematics, Capital Normal University, 100037, Beijing, People\u2019s Republic of China","Capital Normal University, School of Mathematics, 100037, Beijing, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Capital Normal University, 100037, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Capital Normal University, School of Mathematics, 100037, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I96852419"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041159863"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7178,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.83342814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"106","issue":"3","first_page":"369","last_page":"425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9976999759674072,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8164807558059692},{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.8131111860275269},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.6012469530105591},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.5714204907417297},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5527452826499939},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.5491592288017273},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4633031487464905},{"id":"https://openalex.org/keywords/riemann-solver","display_name":"Riemann solver","score":0.4531245529651642},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.44949930906295776},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.4266950488090515},{"id":"https://openalex.org/keywords/euler-system","display_name":"Euler system","score":0.4126688539981842},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4001561105251312},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1282428503036499},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.11575126647949219},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0991988480091095}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8164807558059692},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.8131111860275269},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6012469530105591},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5714204907417297},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5527452826499939},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.5491592288017273},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4633031487464905},{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.4531245529651642},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.44949930906295776},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.4266950488090515},{"id":"https://openalex.org/C2781217745","wikidata":"https://www.wikidata.org/wiki/Q1053779","display_name":"Euler system","level":3,"score":0.4126688539981842},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4001561105251312},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1282428503036499},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.11575126647949219},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0991988480091095},{"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/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-007-0069-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-007-0069-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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":28,"referenced_works":["https://openalex.org/W1537224157","https://openalex.org/W1550066393","https://openalex.org/W1554134448","https://openalex.org/W1571871558","https://openalex.org/W1583892864","https://openalex.org/W1601617262","https://openalex.org/W1901360301","https://openalex.org/W1975706278","https://openalex.org/W1998178788","https://openalex.org/W2034049222","https://openalex.org/W2034926075","https://openalex.org/W2035051330","https://openalex.org/W2038501569","https://openalex.org/W2038747175","https://openalex.org/W2038991247","https://openalex.org/W2043798237","https://openalex.org/W2068255553","https://openalex.org/W2080202186","https://openalex.org/W2112548197","https://openalex.org/W2123973461","https://openalex.org/W2280082143","https://openalex.org/W2492550098","https://openalex.org/W2778033595","https://openalex.org/W2978957278","https://openalex.org/W4206139584","https://openalex.org/W4255388216","https://openalex.org/W4285719527","https://openalex.org/W4292081050"],"related_works":["https://openalex.org/W2085037704","https://openalex.org/W3174853118","https://openalex.org/W2379245068","https://openalex.org/W2010276774","https://openalex.org/W1663225052","https://openalex.org/W2161856882","https://openalex.org/W2067345573","https://openalex.org/W2133986346","https://openalex.org/W1990653832","https://openalex.org/W3164279712"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}