Liquid Crystal Flows with Regularity in One Direction

Liquid Crystal Flows with Regularity in One Direction

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摘要 In this paper, we consider the Cauchy problem for the model of liquid crystal. We show that if the velocity field u satisfies 3u∈Lp（0,T;Lq（／mathbb{R}3））, ／frac{2}{p}＋／frac{3}{q}＋=1＋／frac{1}{q}, 2〈q ≤ ∞, then the solution is in fact smooth.

作者 ZHANG Zujin

机构地区 School of Mathematics and Computer Sciences

出处《Journal of Partial Differential Equations》 2014年第3期245-250,共6页 偏微分方程（英文版）

关键词 Liquid crystals regularity criteria.

分类号 O175.28 [理学—基础数学] O175.29 [理学—基础数学]

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1H. BEIRaO DA VEIGA (Department of Mathematics, Pisa University, Pisa, Italy).A NEW REGULARITY CLASS FOR THE NAVIER-STOKES EQUATIONS IN IR^n[J].Chinese Annals of Mathematics,Series B,1995,16(4):407-412. 被引量：39

共引文献38

1李天理,周本达.基于弱解一阶偏导数Navier-Stokes方程解的正则性[J].滁州学院学报,2021,23(2):58-61. 被引量：1
2FAN JiShan1 & GUO BoLing2 1 College of Information Science and Technology, Nanjing Forestry University, Nanjing 210037, China 2 Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China.Regularity criterion to some liquid crystal models and the Landau-Lifshitz equations in R^3[J].Science China Mathematics,2008,51(10):1787-1797. 被引量：1
3蒋先江,陶祥兴.Navier-Stokes方程正则性和爆破的一类条件[J].数学年刊（A辑）,2005,26(5):731-736.
4樊继山,郭柏灵.液晶模型和Landau-Lifshitz方程强解的正则性[J].中国科学（A辑）,2008,38(1):31-40.
5周勇.不可压Navier-Stokes方程的研究现状[J].浙江师范大学学报（自然科学版）,2009,32(2):121-125. 被引量：1
6Sadek Gala.REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES[J].Acta Mathematica Scientia,2010,30(5):1413-1418. 被引量：1
7孙建筑,樊继山.截断Euler方程的两流体模型的正则性准则[J].数学物理学报（A辑）,2010,30(6):1693-1698.
8董柏青,Sadek Gala,陈志敏.ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES[J].Acta Mathematica Scientia,2011,31(2):591-600. 被引量：3
9ZHANG Xingwei ZHANG Wenliang DONG Bo-Qing.Remarks on the Regularity Criteria of Three-Dimensional Navier-Stokes Equations in Margin Case[J].Journal of Partial Differential Equations,2011,24(1):70-82. 被引量：1
10李天理,汪全珍.具有分数次耗散的Navier-Stokes方程弱解的正则准则[J].合肥工业大学学报（自然科学版）,2011,34(10):1593-1596. 被引量：2

1Congchong Guo.WELL-POSEDNESS AND SPACE-TIME REGULARITY OF SOLUTIONS TO THE LIQUID CRYSTAL EQUATIONS IN CRITICAL SPACE[J].Annals of Applied Mathematics,2016,32(4):357-379.
2Jincheng Gao,Boling Guo,Xiaoyu Xi.GLOBAL EXISTENCE AND LONG-TIME BEHAVIOR FOR THE STRONG SOLUTIONS IN H2 TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS[J].Annals of Applied Mathematics,2016,32(4):331-356. 被引量：1
3刘超,穆全全,胡立发,曹召良,宣丽.High precision Zernike modal gray map reconstruction for liquid crystal corrector[J].Chinese Physics B,2010,19(6):367-374. 被引量：2
4Jing QIN Norihiro UMEDA.Near-Field Birefringence Response of Liquid Crystal Molecules in Thickness Direction of Liquid Crystal Thin Film Orientated by Shear Force[J].Chinese Physics Letters,2007,24(10):2906-2909.
5BAI Meng,LIU Qiao,ZHAO Jihong.A Logarithmically Improved Blow-up Criterion for a Simplified Ericksen-Leslie System Modeling the Liquid Crystal Flows[J].Journal of Partial Differential Equations,2015,28(4):358-369.
6宣丽,乌日娜,彭增辉,于涛,张力,阮圣平,Tatsuo Uchida.Order parameters of liquid crystal on the rubbing surfaces of alignment layers[J].Science China(Technological Sciences),2002,45(6):654-660.
7薄膜材料与器件[J].中国光学,2002(2):75-76.
8非线性光学效应与应用[J].中国光学,1995(3):46-46.
9薛鹏,王志斌,张瑞,李克武.液晶可变相位延迟器相位延迟的精确定标[J].光电子．激光,2016,27(8):798-803. 被引量：1
10任少辣,董占民,庞文宁.液晶相位可变延迟器在极化电子碰撞实验中的应用[J].物理,2008,37(11):793-796.

Journal of Partial Differential Equations

2014年第3期

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Liquid Crystal Flows with Regularity in One Direction

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