{"id":"https://openalex.org/W7212219253","doi":"https://doi.org/10.48550/arxiv.2609.11027","title":"Boundary layer analysis for the 2D Chemotaxis-Navier-Stokes system with logarithmic sensitivity, Part II. viscous vanishing limit","display_name":"Boundary layer analysis for the 2D Chemotaxis-Navier-Stokes system with logarithmic sensitivity, Part II. viscous vanishing limit","publication_year":2026,"publication_date":"2026-09-10","ids":{"openalex":"https://openalex.org/W7212219253","doi":"https://doi.org/10.48550/arxiv.2609.11027"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.11027","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11027","pdf_url":"https://arxiv.org/pdf/2609.11027","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.11027","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5146071500","display_name":"Hui Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Hui","raw_affiliation_strings":["( Hui Wang ) School of Mathematical Sciences , Dalian University of Technology , Dalian , 116024 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"( Hui Wang ) School of Mathematical Sciences , Dalian University of Technology , Dalian , 116024 , China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5146004279","display_name":"Lingling Zhao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhao, Lingling","raw_affiliation_strings":["( Hui Wang ) School of Mathematical Sciences , Dalian University of Technology , Dalian , 116024 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"( Hui Wang ) School of Mathematical Sciences , Dalian University of Technology , Dalian , 116024 , China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I27357992"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.8511000275611877,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.8511000275611877,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.1264999955892563,"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/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.004699999932199717,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chemotaxis-navier-stokes-system","display_name":"chemotaxis-Navier-Stokes system","score":0.921999990940094},{"id":"https://openalex.org/keywords/boundary-layer-analysis","display_name":"boundary layer analysis","score":0.7110000252723694},{"id":"https://openalex.org/keywords/logarithmic-sensitivity","display_name":"logarithmic sensitivity","score":0.7749999761581421},{"id":"https://openalex.org/keywords/slip-boundary-conditions","display_name":"slip boundary conditions","score":0.972000002861023},{"id":"https://openalex.org/keywords/well-posedness","display_name":"well-posedness","score":0.8029999732971191}],"concepts":[{"id":"https://openalex.org/C23221634","wikidata":"https://www.wikidata.org/wiki/Q4925317","display_name":"Blasius boundary layer","level":4,"score":0.6561999917030334},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.6531999707221985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6220999956130981},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5299999713897705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46779999136924744},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45809999108314514},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.453900009393692},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.450300008058548},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4235999882221222},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.41110000014305115},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.4058000147342682},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.39649999141693115},{"id":"https://openalex.org/C49221354","wikidata":"https://www.wikidata.org/wiki/Q3689304","display_name":"Boundary layer control","level":4,"score":0.3587000072002411},{"id":"https://openalex.org/C151890184","wikidata":"https://www.wikidata.org/wiki/Q1660471","display_name":"Boundary layer thickness","level":3,"score":0.3562999963760376},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.3562000095844269},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33059999346733093},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C16304620","wikidata":"https://www.wikidata.org/wiki/Q1396948","display_name":"No-slip condition","level":4,"score":0.320499986410141},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.31709998846054077},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.2978000044822693},{"id":"https://openalex.org/C54166955","wikidata":"https://www.wikidata.org/wiki/Q658145","display_name":"Chemotaxis","level":3,"score":0.26339998841285706},{"id":"https://openalex.org/C79042034","wikidata":"https://www.wikidata.org/wiki/Q4949963","display_name":"Boundary conditions in CFD","level":5,"score":0.26260000467300415},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.25870001316070557}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.11027","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11027","pdf_url":"https://arxiv.org/pdf/2609.11027","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.11027","doi":"https://doi.org/10.48550/arxiv.2609.11027","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.11027","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.11027","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11027","pdf_url":"https://arxiv.org/pdf/2609.11027","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212219253.pdf","grobid_xml":"https://content.openalex.org/works/W7212219253.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W4417409701","https://openalex.org/W7151846411","https://openalex.org/W7151951557","https://openalex.org/W7160299841","https://openalex.org/W7201851854"],"related_works":["https://openalex.org/W7160299841","https://openalex.org/W7201851854","https://openalex.org/W4417409701","https://openalex.org/W4280506958","https://openalex.org/W7172323469","https://openalex.org/W4293052802","https://openalex.org/W4404597610","https://openalex.org/W2912929722","https://openalex.org/W2524842868","https://openalex.org/W4399041275"],"abstract_inverted_index":{"This":[0,128],"is":[1],"the":[2,14,19,23,28,45,51,59,69,72,79,94,98,102,117,121,125,132,135,142,151],"second":[3],"part":[4,123],"of":[5,30,71,101,124,134,138,154],"a":[6],"two-part":[7,126],"work":[8],"concerning":[9],"boundary":[10,31,40,60,155],"layer":[11,32,61,74,81,156],"solutions":[12,33],"to":[13,34,44,68,141],"coupled":[15,103],"Chemotaxis-Navier-Stokes":[16,104],"system":[17,105],"in":[18,50,93,106,113,120,147,157],"two-dimensional":[20,52],"half-space.":[21],"In":[22],"present":[24],"work,":[25],"we":[26,56],"address":[27],"convergence":[29],"singular":[35],"chemotaxis-fluid":[36],"equations":[37],"under":[38],"slip":[39],"conditions":[41],"with":[42,76],"respect":[43],"chemical":[46],"diffusion-viscosity":[47],"parameter":[48],"$\\varepsilon$":[49],"half-plane.":[53],"More":[54],"precisely,":[55],"show":[57],"that":[58],"for":[62],"$\\varepsilon>0$":[63],"(viscous":[64],"convection":[65],"coefficient)":[66],"converges":[67],"superposition":[70],"outer":[73,85],"(solution":[75],"$\\varepsilon=0$)":[77],"and":[78,86,149],"inner":[80,87],"as":[82,92],"$\\varepsilon\\rightarrow0$.":[83],"The":[84],"profiles":[88],"are":[89],"explicitly":[90],"derived":[91],"first":[95,122],"part\\cite{WWZ}.":[96],"Furthermore,":[97],"well-posedness":[99],"results":[100,153],"conormal":[107],"Sobolev":[108],"spaces":[109],"will":[110],"be":[111],"presented":[112],"Appendix.":[114],"They":[115],"answer":[116],"question":[118],"mentioned":[119],"work.":[127],"study":[129],"could":[130],"help":[131],"understanding":[133],"chemotactic":[136,158],"movement":[137],"aerobic":[139],"bacteria":[140],"water-air":[143],"surface":[144],"observed":[145],"experimentally":[146],"fluids,":[148],"enrich":[150],"theoretical":[152],"fluid":[159],"models.":[160]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-12T00:00:00"}
