{"id":"https://openalex.org/W7214029510","doi":"https://doi.org/10.48550/arxiv.2609.23764","title":"Global Existence and Large-Time Behavior of Strong Solutions to the Two-Dimensional Compressible Nematic Liquid Crystal Flows with Large Initial Data and Vacuum","display_name":"Global Existence and Large-Time Behavior of Strong Solutions to the Two-Dimensional Compressible Nematic Liquid Crystal Flows with Large Initial Data and Vacuum","publication_year":2026,"publication_date":"2026-09-20","ids":{"openalex":"https://openalex.org/W7214029510","doi":"https://doi.org/10.48550/arxiv.2609.23764"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.23764","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23764","pdf_url":"https://arxiv.org/pdf/2609.23764","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/2609.23764","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134114699","display_name":"Qinghao Lei","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210093841","display_name":"Institute of Applied Mathematics","ror":"https://ror.org/00h9jx107","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210093841","https://openalex.org/I4210124601","https://openalex.org/I4210148470"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN","RU"],"is_corresponding":false,"raw_author_name":"Lei, Qinghao","raw_affiliation_strings":[". Institute of Applied Mathematics ,",". School of Mathematical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , P. R. China;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":". Institute of Applied Mathematics ,","institution_ids":["https://openalex.org/I4210093841"]},{"raw_affiliation_string":". School of Mathematical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , P. R. China;","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5152493540","display_name":"Lu Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210093841","display_name":"Institute of Applied Mathematics","ror":"https://ror.org/00h9jx107","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210093841","https://openalex.org/I4210124601","https://openalex.org/I4210148470"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN","RU"],"is_corresponding":false,"raw_author_name":"Wang, Lu","raw_affiliation_strings":[". Institute of Applied Mathematics ,","Academy of Mathematics and Systems Science , Chinese Academy of Sciences , Beijing 100190 , P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":". Institute of Applied Mathematics ,","institution_ids":["https://openalex.org/I4210093841"]},{"raw_affiliation_string":"Academy of Mathematics and Systems Science , Chinese Academy of Sciences , Beijing 100190 , P. R. China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T10940","display_name":"Navier-Stokes equation solutions","score":1.0,"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":1.0,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.0,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0,"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-existence","display_name":"global existence","score":0.671999990940094},{"id":"https://openalex.org/keywords/strong-solutions","display_name":"strong solutions","score":0.8930000066757202},{"id":"https://openalex.org/keywords/long-time-behavior","display_name":"long-time behavior","score":0.8920000195503235},{"id":"https://openalex.org/keywords/vacuum","display_name":"vacuum","score":0.6759999990463257},{"id":"https://openalex.org/keywords/large-initial-data","display_name":"large initial data","score":0.8069999814033508},{"id":"https://openalex.org/keywords/shear-viscosity","display_name":"shear viscosity","score":0.7879999876022339},{"id":"https://openalex.org/keywords/bulk-viscosity","display_name":"bulk viscosity","score":0.7049999833106995},{"id":"https://openalex.org/keywords/navier-slip-boundary-condition","display_name":"Navier boundary conditions","score":0.8349999785423279},{"id":"https://openalex.org/keywords/neumann-boundary-conditions","display_name":"Neumann boundary conditions","score":0.9869999885559082},{"id":"https://openalex.org/keywords/exponential-decay-estimates","display_name":"exponential decay estimates","score":0.7250000238418579},{"id":"https://openalex.org/keywords/two-dimensional-flow","display_name":"two-dimensional flow","score":0.5640000104904175}],"concepts":[{"id":"https://openalex.org/C13274807","wikidata":"https://www.wikidata.org/wiki/Q203989","display_name":"Liquid crystal","level":2,"score":0.738099992275238},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7182000279426575},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6873000264167786},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6617000102996826},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5842999815940857},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5641000270843506},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.5367000102996826},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4553000032901764},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44920000433921814},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.4300000071525574},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.39739999175071716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39089998602867126},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.37869998812675476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3684000074863434},{"id":"https://openalex.org/C181556327","wikidata":"https://www.wikidata.org/wiki/Q4014770","display_name":"Volume viscosity","level":3,"score":0.35179999470710754},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3449000120162964},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.32409998774528503},{"id":"https://openalex.org/C135768490","wikidata":"https://www.wikidata.org/wiki/Q2250602","display_name":"Shear flow","level":2,"score":0.31690001487731934},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.3091999888420105},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.30070000886917114},{"id":"https://openalex.org/C2781285689","wikidata":"https://www.wikidata.org/wiki/Q21921428","display_name":"Crystal (programming language)","level":2,"score":0.2937999963760376},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C2993200995","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Shear viscosity","level":3,"score":0.28040000796318054},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C71351571","wikidata":"https://www.wikidata.org/wiki/Q7935890","display_name":"Viscous liquid","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.23764","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23764","pdf_url":"https://arxiv.org/pdf/2609.23764","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.2609.23764","doi":"https://doi.org/10.48550/arxiv.2609.23764","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.23764","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.23764","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23764","pdf_url":"https://arxiv.org/pdf/2609.23764","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214029510.pdf","grobid_xml":"https://content.openalex.org/works/W7214029510.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W4387947239"],"related_works":["https://openalex.org/W7214009074","https://openalex.org/W7214018480","https://openalex.org/W4390838053","https://openalex.org/W7206163192","https://openalex.org/W2417575307","https://openalex.org/W3009781218","https://openalex.org/W3011424153","https://openalex.org/W4385073618","https://openalex.org/W2220287438","https://openalex.org/W2519627686"],"abstract_inverted_index":{"In":[0,36,74],"this":[1],"paper,":[2],"we":[3,54,88],"investigate":[4],"two-dimensional":[5],"compressible":[6],"nematic":[7],"liquid":[8],"crystal":[9],"flows":[10],"with":[11,34,48],"a":[12,22,42,90],"planar":[13],"director.":[14],"We":[15],"assume":[16],"that":[17,26],"the":[18,27,37,56,68,71,83,95,103],"shear":[19],"viscosity":[20,29],"is":[21,30,80],"positive":[23],"constant":[24],"and":[25,50,59,97],"bulk":[28],"given":[31],"by":[32],"$\u03bb(\u03c1)=\u03c1^\u03b2$":[33],"$\u03b2>4/3$.":[35],"periodic":[38],"domain":[39,47],"or":[40],"in":[41],"bounded":[43],"simply":[44],"connected":[45],"smooth":[46],"Navier-slip":[49],"Neumann":[51],"boundary":[52],"conditions,":[53],"establish":[55,98],"global":[57],"existence":[58],"uniqueness":[60],"of":[61,70],"strong":[62,104],"solutions":[63],"without":[64],"any":[65],"restrictions":[66],"on":[67,82],"size":[69],"initial":[72,84],"data.":[73],"particular,":[75],"no":[76],"geometric":[77],"angle":[78],"condition":[79],"imposed":[81],"orientation":[85],"field.":[86],"Moreover,":[87],"derive":[89],"time-uniform":[91],"upper":[92],"bound":[93],"for":[94,102],"density":[96],"exponential":[99],"decay":[100],"estimates":[101],"solutions.":[105]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-23T00:00:00"}