{"id":"https://openalex.org/W2078174847","doi":"https://doi.org/10.1137/120902483","title":"On Steady Subsonic Flows for Euler--Poisson Models","display_name":"On Steady Subsonic Flows for Euler--Poisson Models","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2078174847","doi":"https://doi.org/10.1137/120902483","mag":"2078174847"},"language":"en","primary_location":{"id":"doi:10.1137/120902483","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120902483","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/A5106403662","display_name":"Shangkun Weng","orcid":"https://orcid.org/0000-0002-2567-2685"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shangkun Weng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5106403662"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.296,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.78740753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"1","first_page":"757","last_page":"779"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9990000128746033,"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":0.9990000128746033,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9975000023841858,"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":0.9969000220298767,"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/bernoullis-principle","display_name":"Bernoulli's principle","score":0.7663663625717163},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6001688838005066},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.5040430426597595},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4930841624736786},{"id":"https://openalex.org/keywords/transonic","display_name":"Transonic","score":0.49069011211395264},{"id":"https://openalex.org/keywords/mach-number","display_name":"Mach number","score":0.48470258712768555},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4738890528678894},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.45676636695861816},{"id":"https://openalex.org/keywords/nozzle","display_name":"Nozzle","score":0.44898536801338196},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.44700387120246887},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.43505632877349854},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4209986925125122},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3861020505428314},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26087242364883423},{"id":"https://openalex.org/keywords/aerodynamics","display_name":"Aerodynamics","score":0.19683358073234558}],"concepts":[{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.7663663625717163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6001688838005066},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5040430426597595},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4930841624736786},{"id":"https://openalex.org/C103838597","wikidata":"https://www.wikidata.org/wiki/Q1579556","display_name":"Transonic","level":3,"score":0.49069011211395264},{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.48470258712768555},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4738890528678894},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.45676636695861816},{"id":"https://openalex.org/C56200935","wikidata":"https://www.wikidata.org/wiki/Q250840","display_name":"Nozzle","level":2,"score":0.44898536801338196},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.44700387120246887},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.43505632877349854},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4209986925125122},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3861020505428314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26087242364883423},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.19683358073234558},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120902483","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120902483","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":12,"referenced_works":["https://openalex.org/W1979627717","https://openalex.org/W1984057219","https://openalex.org/W1988101202","https://openalex.org/W1988678353","https://openalex.org/W2026671918","https://openalex.org/W2053303886","https://openalex.org/W2073391113","https://openalex.org/W2077758620","https://openalex.org/W2083068878","https://openalex.org/W2313534310","https://openalex.org/W3104516944","https://openalex.org/W4243738351"],"related_works":["https://openalex.org/W291357663","https://openalex.org/W2102416155","https://openalex.org/W1978926906","https://openalex.org/W1988839533","https://openalex.org/W56320343","https://openalex.org/W2099355373","https://openalex.org/W2394144287","https://openalex.org/W2091730009","https://openalex.org/W61925699","https://openalex.org/W2345591051"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,88],"are":[4],"concerned":[5],"with":[6,23,33,127],"the":[7,16,39,42,46,51,55,58,62,65,79,98,103,106,117,132,139,142],"structural":[8],"stability":[9],"of":[10,38,105,119,141],"some":[11],"steady":[12,20],"subsonic":[13,21,24],"solutions":[14],"for":[15,93],"Euler--Poisson":[17,94],"system.":[18],"A":[19],"solution":[22,67],"background":[25,40,66],"charge":[26],"is":[27,116],"proved":[28],"to":[29,35,101],"be":[30],"structurally":[31],"stable":[32],"respect":[34],"small":[36,75],"perturbations":[37],"charge,":[41],"incoming":[43],"flow":[44],"angles,":[45],"normal":[47],"electric":[48,76],"field,":[49],"and":[50,57,73,134],"Bernoulli's":[52,99],"function":[53],"at":[54,61,131,138],"inlet":[56,133],"end":[59],"pressure":[60],"exit,":[63],"provided":[64],"has":[68],"a":[69,74,90,120],"low":[70],"Mach":[71],"number":[72],"field.":[77,108],"Following":[78],"idea":[80],"developed":[81],"in":[82,112],"[S.":[83],"K.":[84],"Weng,":[85],"arxiv.org/abs/1212.1635v2,":[86],"2012],":[87],"give":[89],"new":[91,110,121],"formulation":[92],"equations,":[95],"which":[96],"employ":[97],"law":[100],"reduce":[102],"dimension":[104],"velocity":[107],"The":[109],"ingredient":[111],"our":[113],"mathematical":[114],"analysis":[115],"solvability":[118],"second":[122],"order":[123],"elliptic":[124],"system":[125],"supplemented":[126],"oblique":[128],"derivative":[129],"conditions":[130,137],"Dirichlet":[135],"boundary":[136],"exit":[140],"nozzle.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}