{"title":"液晶三维可压缩流动的大全局解决方案","authors":"","doi":"10.1016/j.na.2024.113657","DOIUrl":null,"url":null,"abstract":"<div><p>The purpose of this paper is to provide a class of large initial data which generates global solutions of the compressible flow of liquid crystals in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>. This class of data relax the smallness restriction imposed on the initial incompressible velocity. Moreover, the result improve considerably the work by Hu and Wu [SIAM J. Math. Anal., 45 (2013), 2678-2699].</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0362546X24001767/pdfft?md5=7de785471e6e5046dbf64fd8ee14f840&pid=1-s2.0-S0362546X24001767-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Large global solutions to the three dimensional compressible flow of liquid crystals\",\"authors\":\"\",\"doi\":\"10.1016/j.na.2024.113657\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The purpose of this paper is to provide a class of large initial data which generates global solutions of the compressible flow of liquid crystals in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>. This class of data relax the smallness restriction imposed on the initial incompressible velocity. Moreover, the result improve considerably the work by Hu and Wu [SIAM J. Math. Anal., 45 (2013), 2678-2699].</p></div>\",\"PeriodicalId\":49749,\"journal\":{\"name\":\"Nonlinear Analysis-Theory Methods & Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0362546X24001767/pdfft?md5=7de785471e6e5046dbf64fd8ee14f840&pid=1-s2.0-S0362546X24001767-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Theory Methods & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0362546X24001767\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Theory Methods & Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0362546X24001767","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本文旨在提供一类大型初始数据,从而生成 R3 中液晶可压缩流动的全局解。该类数据放宽了对初始不可压缩速度的小限制。此外,该结果大大改进了 Hu 和 Wu [SIAM J. Math. Anal.
Large global solutions to the three dimensional compressible flow of liquid crystals
The purpose of this paper is to provide a class of large initial data which generates global solutions of the compressible flow of liquid crystals in . This class of data relax the smallness restriction imposed on the initial incompressible velocity. Moreover, the result improve considerably the work by Hu and Wu [SIAM J. Math. Anal., 45 (2013), 2678-2699].
期刊介绍:
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