{"id":"https://openalex.org/W4415525907","doi":"https://doi.org/10.1515/anona-2025-0122","title":"Global well-posedness of a nonlinear Boussinesq-fluid-structure interaction system with large initial data","display_name":"Global well-posedness of a nonlinear Boussinesq-fluid-structure interaction system with large initial data","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415525907","doi":"https://doi.org/10.1515/anona-2025-0122"},"language":"en","primary_location":{"id":"doi:10.1515/anona-2025-0122","doi":"https://doi.org/10.1515/anona-2025-0122","is_oa":true,"landing_page_url":"https://doi.org/10.1515/anona-2025-0122","pdf_url":null,"source":{"id":"https://openalex.org/S2764380143","display_name":"Advances in Nonlinear Analysis","issn_l":"2191-9496","issn":["2191-9496","2191-950X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Nonlinear Analysis","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1515/anona-2025-0122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jie Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I169019527","display_name":"Quanzhou Normal University","ror":"https://ror.org/006ak0b38","country_code":"CN","type":"education","lineage":["https://openalex.org/I169019527"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Zhang","raw_affiliation_strings":["School of Mathematics and Computer Science, Quanzhou Normal University , Quanzhou 362001 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Quanzhou Normal University , Quanzhou 362001 , P.R. China","institution_ids":["https://openalex.org/I169019527"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100335453","display_name":"Shu Wang","orcid":"https://orcid.org/0000-0002-0408-9247","observed_orcids":["https://orcid.org/0000-0002-0408-9247"]},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shu Wang","raw_affiliation_strings":["School of Mathematics, Statistics and Mechanics, Beijing University of Technology , Beijing 100124 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Mechanics, Beijing University of Technology , Beijing 100124 , P.R. China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085034294","display_name":"Lin Yong Shen","orcid":"https://orcid.org/0000-0003-3177-4407","observed_orcids":["https://orcid.org/0000-0003-3177-4407"]},"institutions":[{"id":"https://openalex.org/I4210131125","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Shen","raw_affiliation_strings":["Department of Mathematics, Huanghuai University , Zhumadian 463000 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Huanghuai University , Zhumadian 463000 , P.R. China","institution_ids":["https://openalex.org/I4210131125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1300,"currency":"EUR","value_usd":1469},"apc_paid":{"value":1300,"currency":"EUR","value_usd":1469},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33832684,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"1","first_page":null,"last_page":null},"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":9.999999747378752e-05,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":9.999999747378752e-05,"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/global-well-posedness","display_name":"global well-posedness","score":0.8709999918937683},{"id":"https://openalex.org/keywords/boussinesq-equations","display_name":"Boussinesq equations","score":0.8629999756813049},{"id":"https://openalex.org/keywords/fluid-structure-interaction","display_name":"fluid-structure interaction","score":0.9980000257492065},{"id":"https://openalex.org/keywords/incompressible-fluid","display_name":"incompressible fluid","score":0.6859999895095825},{"id":"https://openalex.org/keywords/elastic-structures","display_name":"elastic structures","score":0.8450000286102295},{"id":"https://openalex.org/keywords/heat-exchange","display_name":"heat exchange","score":0.8410000205039978},{"id":"https://openalex.org/keywords/weak-solutions","display_name":"weak solutions","score":0.722000002861023},{"id":"https://openalex.org/keywords/global-strong-solutions","display_name":"global strong solutions","score":0.5429999828338623},{"id":"https://openalex.org/keywords/uniqueness","display_name":"uniqueness","score":0.4009999930858612},{"id":"https://openalex.org/keywords/large-initial-data","display_name":"large initial data","score":0.8379999995231628},{"id":"https://openalex.org/keywords/compatibility-conditions","display_name":"compatibility conditions","score":0.843999981880188},{"id":"https://openalex.org/keywords/interface-conditions","display_name":"interface conditions","score":0.6129999756813049},{"id":"https://openalex.org/keywords/wave-equation","display_name":"wave equation","score":0.6899999976158142},{"id":"https://openalex.org/keywords/heat-equation","display_name":"heat equation","score":0.9909999966621399}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8392999768257141},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.741100013256073},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6700999736785889},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6414999961853027},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.6007999777793884},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5961999893188477},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.5874000191688538},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5486999750137329},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5379999876022339},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4546999931335449},{"id":"https://openalex.org/C2775918384","wikidata":"https://www.wikidata.org/wiki/Q4660961","display_name":"A priori estimate","level":2,"score":0.41940000653266907},{"id":"https://openalex.org/C153919410","wikidata":"https://www.wikidata.org/wiki/Q9993851","display_name":"Weak formulation","level":3,"score":0.3959999978542328},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.36570000648498535},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.3379000127315521},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3181000053882599},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.30809998512268066},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.2816999852657318},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.27570000290870667},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.25589999556541443},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.25220000743865967},{"id":"https://openalex.org/C2776548862","wikidata":"https://www.wikidata.org/wiki/Q2694495","display_name":"Existence theorem","level":2,"score":0.25}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1515/anona-2025-0122","doi":"https://doi.org/10.1515/anona-2025-0122","is_oa":true,"landing_page_url":"https://doi.org/10.1515/anona-2025-0122","pdf_url":null,"source":{"id":"https://openalex.org/S2764380143","display_name":"Advances in Nonlinear Analysis","issn_l":"2191-9496","issn":["2191-9496","2191-950X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Nonlinear Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2502.09182","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.09182","pdf_url":"https://arxiv.org/pdf/2502.09182","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:8b359e26f1ea45bea5f1d2602a4a437e","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/8b359e26f1ea45bea5f1d2602a4a437e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Nonlinear Analysis, Vol 14, Iss 1, Pp 495-562 (2025)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2502.09182","doi":"https://doi.org/10.48550/arxiv.2502.09182","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2502.09182","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1515/anona-2025-0122","doi":"https://doi.org/10.1515/anona-2025-0122","is_oa":true,"landing_page_url":"https://doi.org/10.1515/anona-2025-0122","pdf_url":null,"source":{"id":"https://openalex.org/S2764380143","display_name":"Advances in Nonlinear Analysis","issn_l":"2191-9496","issn":["2191-9496","2191-950X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Nonlinear Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W118861988","https://openalex.org/W180272567","https://openalex.org/W190049472","https://openalex.org/W616225202","https://openalex.org/W620325508","https://openalex.org/W1550241032","https://openalex.org/W1978411037","https://openalex.org/W1979506435","https://openalex.org/W2015380560","https://openalex.org/W2021828921","https://openalex.org/W2051035887","https://openalex.org/W2062761986","https://openalex.org/W2070063374","https://openalex.org/W2077197181","https://openalex.org/W2079516652","https://openalex.org/W2089060615","https://openalex.org/W2151435858","https://openalex.org/W2159229261","https://openalex.org/W2963198323","https://openalex.org/W3036796278","https://openalex.org/W3095611658","https://openalex.org/W4246312245","https://openalex.org/W4293872209","https://openalex.org/W4298356938","https://openalex.org/W4320351895","https://openalex.org/W4361000162","https://openalex.org/W4399939652","https://openalex.org/W4406332587"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,64,93,112],"article,":[3],"we":[4],"consider":[5],"the":[6,10,22,34,45,57,82,86,89,100,105,126],"global":[7,58,106],"well-posedness":[8],"of":[9,24,60,75,88,104,128],"initial-boundary":[11],"value":[12],"problem":[13,65,94,113],"to":[14,63,92,111],"a":[15,134],"nonlinear":[16],"Boussinesq-fluid-structure":[17],"interaction":[18],"system,":[19],"which":[20],"describes":[21],"motion":[23],"an":[25,30],"incompressible":[26,41],"Boussinesq-fluid":[27],"surrounded":[28],"by":[29,51,71,132],"elastic":[31],"structure":[32],"with":[33,44],"heat":[35,49],"exchange":[36],"and":[37,48,80,102,108],"is":[38,69,97,117],"one":[39,73],"coupled":[40],"Boussinesq":[42],"equations":[43],"wave":[46],"equation":[47,50],"physical":[52],"interface":[53],"boundary":[54],"conditions.":[55],"First,":[56],"existence":[59,101],"weak":[61,78,90],"solutions":[62],"in":[66,95,114],"two/three":[67],"dimension":[68,116],"proven":[70],"introducing":[72],"class":[74],"its":[76],"suitable":[77,129],"solution":[79,91,110],"using":[81],"compactness":[83],"method.":[84],"Then,":[85],"uniqueness":[87,103],"two-dimension":[96],"established.":[98],"Finally,":[99],"strong":[107],"smooth":[109,121],"two":[115],"obtained":[118],"for":[119],"any":[120],"large":[122],"initial":[123],"data":[124],"under":[125],"assumptions":[127],"compatibility":[130],"conditions":[131],"establishing":[133],"priori":[135],"higher":[136],"order":[137],"derivative":[138],"estimates.":[139]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-24T00:00:00"}