{"id":"https://openalex.org/W7225249755","doi":"https://doi.org/10.3934/cpaa.2026.102939","title":"Existence and conditional nonlinear stability of non-isentropic gaseous stars","display_name":"Existence and conditional nonlinear stability of non-isentropic gaseous stars","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225249755","doi":"https://doi.org/10.3934/cpaa.2026.102939"},"language":"en","primary_location":{"id":"doi:10.3934/cpaa.2026.102939","doi":"https://doi.org/10.3934/cpaa.2026.102939","is_oa":true,"landing_page_url":"https://doi.org/10.3934/cpaa.2026.102939","pdf_url":null,"source":{"id":"https://openalex.org/S170381558","display_name":"Communications on Pure &amp Applied Analysis","issn_l":"1534-0392","issn":["1534-0392","1553-5258"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications on Pure and Applied Analysis","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/cpaa.2026.102939","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160591523","display_name":"Yan Feng","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yan Feng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086456834","display_name":"Tao Luo","orcid":"https://orcid.org/0000-0002-5656-8741","observed_orcids":["https://orcid.org/0000-0002-5656-8741"]},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Tao Luo","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022757953","display_name":"Yucong Wang","orcid":"https://orcid.org/0000-0001-7727-0939","observed_orcids":["https://orcid.org/0000-0001-7727-0939"]},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yucong Wang","raw_affiliation_strings":["School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, China","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022757953"],"corresponding_institution_ids":["https://openalex.org/I4610292"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.88763811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"0","first_page":"0","last_page":"0"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.5332000255584717,"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":0.5332000255584717,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.4242999851703644,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.008999999612569809,"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"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6811000108718872},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6256999969482422},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5238999724388123},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.49810001254081726},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4691999852657318},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.4602999985218048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4284999966621399},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.39899998903274536},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33550000190734863},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33500000834465027},{"id":"https://openalex.org/C64618476","wikidata":"https://www.wikidata.org/wiki/Q164296","display_name":"Variational method","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.30649998784065247},{"id":"https://openalex.org/C89901390","wikidata":"https://www.wikidata.org/wiki/Q6418927","display_name":"Lagrangian and Eulerian specification of the flow field","level":4,"score":0.299699991941452},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.28380000591278076},{"id":"https://openalex.org/C9259290","wikidata":"https://www.wikidata.org/wiki/Q745215","display_name":"Variational principle","level":2,"score":0.2770000100135803},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.265500009059906}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/cpaa.2026.102939","doi":"https://doi.org/10.3934/cpaa.2026.102939","is_oa":true,"landing_page_url":"https://doi.org/10.3934/cpaa.2026.102939","pdf_url":null,"source":{"id":"https://openalex.org/S170381558","display_name":"Communications on Pure &amp Applied Analysis","issn_l":"1534-0392","issn":["1534-0392","1553-5258"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications on Pure and Applied Analysis","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/cpaa.2026.102939","doi":"https://doi.org/10.3934/cpaa.2026.102939","is_oa":true,"landing_page_url":"https://doi.org/10.3934/cpaa.2026.102939","pdf_url":null,"source":{"id":"https://openalex.org/S170381558","display_name":"Communications on Pure &amp Applied Analysis","issn_l":"1534-0392","issn":["1534-0392","1553-5258"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications on Pure and Applied Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W952485567","https://openalex.org/W1706448315","https://openalex.org/W1972684161","https://openalex.org/W1992041666","https://openalex.org/W1998994131","https://openalex.org/W2008906187","https://openalex.org/W2017221545","https://openalex.org/W2040596815","https://openalex.org/W2044027624","https://openalex.org/W2045111007","https://openalex.org/W2047447830","https://openalex.org/W2074548753","https://openalex.org/W2086796508","https://openalex.org/W2120329382","https://openalex.org/W2144180344","https://openalex.org/W2581321107","https://openalex.org/W2783963133","https://openalex.org/W2790574490","https://openalex.org/W2963725518","https://openalex.org/W3121096480","https://openalex.org/W3178441339","https://openalex.org/W3199602516","https://openalex.org/W3213810552","https://openalex.org/W4324281731","https://openalex.org/W4380302190","https://openalex.org/W4384068264","https://openalex.org/W4391707739","https://openalex.org/W4392683547","https://openalex.org/W4400653690","https://openalex.org/W4404514343","https://openalex.org/W4411575026","https://openalex.org/W7213339256"],"related_works":[],"abstract_inverted_index":{"The":[0],"motion":[1],"of":[2,25,47,58,71,77],"self-gravitating":[3],"gaseous":[4],"stars":[5],"with":[6],"non-isentropic":[7,14],"effects":[8],"can":[9],"be":[10],"described":[11],"by":[12],"the":[13,23,37,44,48,51,56,64,72,78],"Euler\u2013Poisson":[15],"equations.":[16],"Using":[17],"a":[18,33,59,83],"variational":[19,79],"approach,":[20],"we":[21,81],"establish":[22],"existence":[24,57],"steady-state":[26],"solutions":[27],"for":[28],"prescribed":[29],"total":[30,73],"mass,":[31],"under":[32,88],"fixed":[34],"relation":[35],"between":[36],"mass":[38],"and":[39,67,75],"entropy":[40],"distributions.":[41],"We":[42],"provide":[43],"decay":[45],"rate":[46],"density":[49],"near":[50],"vacuum":[52],"boundary.":[53],"Finally,":[54],"assuming":[55],"radial":[60,89],"weak":[61],"solution":[62],"satisfying":[63],"stated":[65],"Lagrangian":[66],"compatibility":[68],"conditions,":[69],"nonincrease":[70],"energy,":[74],"uniqueness":[76],"minimizer,":[80],"prove":[82],"conditional":[84],"nonlinear":[85],"stability":[86],"result":[87],"perturbations.":[90]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-11-05T00:00:00"}
