Blow-up criterion for the 3D nematic liquid crystal flows via one velocity and vorticity components and molecular orientations

Qiang Li;  ; Baoquan Yuan

doi:10.3934/math.2020041

Blow-up criterion for the 3D nematic liquid crystal flows via one velocity and vorticity components and molecular orientations

AIMS Mathematics ◽

10.3934/math.2020041 ◽

2020 ◽

Vol 5 (1) ◽

pp. 619-628 ◽

Cited By ~ 1

Author(s):

Qiang Li ◽

◽

Baoquan Yuan

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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Blow-up criterion of classical solutions for the incompressible nematic liquid crystal flows

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30096-6 ◽

2017 ◽

Vol 37 (6) ◽

pp. 1632-1638

Author(s):

Zhensheng GAO ◽

Zhong TAN

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Classical Solutions ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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Blow up Criterion for Nematic Liquid Crystal Flows

Communications in Partial Differential Equations ◽

10.1080/03605302.2012.659366 ◽

2012 ◽

Vol 37 (5) ◽

pp. 875-884 ◽

Cited By ~ 64

Author(s):

Tao Huang ◽

Changyou Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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Blow up criterion for three-dimensional nematic liquid crystal flows with partial viscosity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2569 ◽

2012 ◽

Vol 36 (1) ◽

pp. 60-68 ◽

Cited By ~ 5

Author(s):

Yu-Zhu Wang ◽

Yin-Xia Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Three Dimensional ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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Global weak solution and blow-up criterion of the general Ericksen–Leslie system for nematic liquid crystal flows

Journal of Differential Equations ◽

10.1016/j.jde.2013.03.009 ◽

2013 ◽

Vol 255 (1) ◽

pp. 24-57 ◽

Cited By ~ 28

Author(s):

Cecilia Cavaterra ◽

Elisabetta Rocca ◽

Hao Wu

Keyword(s):

Weak Solution ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Global Weak Solution ◽

Nematic Liquid Crystal Flows ◽

Leslie System ◽

Blow Up Criterion

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A Blow-up Criterion for 2D Compressible Nematic Liquid Crystal Flows in Terms of Density

Acta Applicandae Mathematicae ◽

10.1007/s10440-016-0067-0 ◽

2016 ◽

Vol 147 (1) ◽

pp. 39-62 ◽

Cited By ~ 2

Author(s):

Shengquan Liu ◽

Shujuan Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal ◽

Blow Up Criterion

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A blow-up criterion for compressible nematic liquid crystal flows

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.12.058 ◽

2013 ◽

Vol 219 (14) ◽

pp. 7365-7368

Author(s):

Weiyi Zhu ◽

Xiaochun Chen ◽

Jishan Fan

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal ◽

Blow Up Criterion

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A remark on blow up criterion of three-dimensional nematic liquid crystal flows

Evolution Equations and Control Theory ◽

10.3934/eect.2016007 ◽

2016 ◽

Vol 5 (2) ◽

pp. 337-348 ◽

Cited By ~ 1

Author(s):

Yinxia Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Three Dimensional ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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Blow Up Criterion for Compressible Nematic Liquid Crystal Flows in Dimension Three

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-011-0476-1 ◽

2011 ◽

Vol 204 (1) ◽

pp. 285-311 ◽

Cited By ~ 63

Author(s):

Tao Huang ◽

Changyou Wang ◽

Huanyao Wen

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal ◽

Blow Up Criterion

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

ScienceAsia ◽

10.2306/scienceasia1513-1874.2013.39.073 ◽

2013 ◽

Vol 39 (1) ◽

pp. 73 ◽

Cited By ~ 1

Author(s):

Yin-Xia Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Smooth Solutions ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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A Logarithmical Blow-up Criterion for the 3D Nematic Liquid Crystal Flows

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-015-0217-y ◽

2015 ◽

Vol 41 (1) ◽

pp. 29-47

Author(s):

Qiao Liu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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