A logarithmically improved blow-up criterion of smooth solutions for nematic liquid crystal flows with partial viscosity

被引：1
|
作者：
Wang, Yin-Xia [1 ]
机构：
[1] North China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450011, Peoples R China
来源：
SCIENCEASIA | 2013年 / 39卷 / 01期
关键词：
BMO space; energy estimate; NAVIER-STOKES EQUATIONS; IMPROVED REGULARITY CRITERIA;
D O I：
10.2306/scienceasia1513-1874.2013.39.073
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we investigate the Cauchy problem for nematic liquid crystal flows with partial viscosity in R-3. A logarithmically improved blow-up criterion of smooth solutions is established. The result is analogous to the celebrated Beale-Kato-Majda type criterion for the inviscid Euler equations of incompressible fluids.
引用
收藏
页码：73 / 78
页数：6
相关论文
共 50 条
  • [1] Logarithmically improved blow-up criterion for the nematic liquid crystal system with zero viscosity
    Zhao, Jihong
    Liu, Qiao
    Li, Yining
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2015, 194 (05) : 1245 - 1258
  • [2] Logarithmically improved blow-up criterion for the nematic liquid crystal system with zero viscosity
    Jihong Zhao
    Qiao Liu
    Yining Li
    Annali di Matematica Pura ed Applicata (1923 -), 2015, 194 : 1245 - 1258
  • [3] Logarithmically improved blow-up criteria for the nematic liquid crystal flows
    Liu, Qiao
    Zhao, Jihong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 16 : 178 - 190
  • [4] BLOW-UP CRITERION OF CLASSICAL SOLUTIONS FOR THE INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS
    高真圣
    谭忠
    Acta Mathematica Scientia(English Series), 2017, 37 (06) : 1632 - 1638
  • [5] BLOW-UP CRITERION OF CLASSICAL SOLUTIONS FOR THE INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS
    高真圣
    谭忠
    Acta Mathematica Scientia, 2017, (06) : 1632 - 1638
  • [6] BLOW-UP CRITERION OF CLASSICAL SOLUTIONS FOR THE INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS
    Gao, Zhensheng
    Tan, Zhong
    ACTA MATHEMATICA SCIENTIA, 2017, 37 (06) : 1632 - 1638
  • [7] A blow-up criterion for compressible nematic liquid crystal flows
    Zhu, Weiyi
    Chen, Xiaochun
    Fan, Jishan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7365 - 7368
  • [8] Blow up criterion for three-dimensional nematic liquid crystal flows with partial viscosity
    Wang, Yu-Zhu
    Wang, Yin-Xia
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (01) : 60 - 68
  • [9] LOGARITHMICALLY IMPROVED BLOW-UP CRITERION FOR SMOOTH SOLUTIONS TO THE LERAY-α-MAGNETOHYDRODYNAMIC EQUATIONS
    Ben Omrane, Ines
    Gala, Sadek
    Kim, Jae-Myoung
    Ragusa, Maria Alessandra
    ARCHIVUM MATHEMATICUM, 2019, 55 (01): : 55 - 68
  • [10] A Logarithmically Improved Blow-up Criterion for a Simplified Ericksen-Leslie System Modeling the Liquid Crystal Flows
    Bai Meng
    Liu Qiao
    Zhao Jihong
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2015, 28 (04): : 358 - 369
12345