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Math. Anal."],"published-print":{"date-parts":[[2024,4,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>In this paper, we study the initial-boundary value problem for the Poiseuille flow of a hyperbolic-parabolic Ericksen\u2013Leslie model of nematic liquid crystals in one space dimension. We consider a simplified system by restricting the Leslie coefficients to special cases such that some quantities are constants. Due to the quasilinearity, the solution of this model in general forms cusp singularity. We prove the global existence of a H\u00f6lder continuous solution, which may include cusp singularity, for initial-boundary value problems with different types of boundary conditions.<\/jats:p>","DOI":"10.1137\/23m1574567","type":"journal-article","created":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T04:09:26Z","timestamp":1709266166000},"page":"1809-1850","source":"Crossref","is-referenced-by-count":4,"title":["Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen\u2013Leslie Model"],"prefix":"10.1137","volume":"56","author":[{"given":"Geng","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Kansas, Lawrence, KS 66045 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yanbo","family":"Hu","sequence":"additional","affiliation":[{"name":"Corresponding author. Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou, 310023, People\u2019s Republic of China; School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, People\u2019s Republic of China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qingtian","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, West Virginia University, Morgantown, WV 26501 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,3,1]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-017-1155-7"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2015.12.004"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-015-0849-y"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2016.v14.n1.a2"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-006-0047-8"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2018.04.002"},{"key":"ref7","doi-asserted-by":"crossref","unstructured":"H. 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