Well-posedness for the density-dependent incompressible flow of liquid crystals

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3248 ◽

2014 ◽

Vol 38 (13) ◽

pp. 2680-2702 ◽

Author(s):

Fuyi Xu ◽

Shengang Hao ◽

Jia Yuan

Keyword(s):

Liquid Crystals ◽

Incompressible Flow ◽

Well Posedness ◽

Density Dependent

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Uniform local well-posedness and regularity criterion for the density-dependent incompressible flow of liquid crystals

Communications in Mathematical Sciences ◽

10.4310/cms.2014.v12.n7.a1 ◽

2014 ◽

Vol 12 (7) ◽

pp. 1185-1197

Author(s):

Jishan Fan ◽

Fucai Li

Keyword(s):

Liquid Crystals ◽

Incompressible Flow ◽

Regularity Criterion ◽

Well Posedness ◽

Density Dependent

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Global Well-posedness for the Density-Dependent Incompressible Flow of Liquid Crystals

Acta Applicandae Mathematicae ◽

10.1007/s10440-018-0178-x ◽

2018 ◽

Vol 158 (1) ◽

pp. 139-166 ◽

Author(s):

Xiaoping Zhai ◽

Zhi-Min Chen

Keyword(s):

Liquid Crystals ◽

Incompressible Flow ◽

Well Posedness ◽

Density Dependent

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A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum

Annales Polonici Mathematici ◽

10.4064/ap115-2-4 ◽

2015 ◽

Vol 115 (2) ◽

pp. 165-177 ◽

Author(s):

Zujin Zhang ◽

Xian Yang

Keyword(s):

Liquid Crystals ◽

Incompressible Flow ◽

Regularity Criterion ◽

Density Dependent

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Global solution to the 3-D density-dependent incompressible flow of liquid crystals

Nonlinear Analysis ◽

10.1016/j.na.2017.02.020 ◽

2017 ◽

Vol 156 ◽

pp. 249-274 ◽

Author(s):

Xiaoping Zhai ◽

Yongsheng Li ◽

Wei Yan

Keyword(s):

Liquid Crystals ◽

Global Solution ◽

Incompressible Flow ◽

Density Dependent

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Global strong solution to the density-dependent incompressible flow of liquid crystals

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2014-05924-2 ◽

2014 ◽

Vol 367 (4) ◽

pp. 2301-2338 ◽

Author(s):

Xiaoli Li ◽

Dehua Wang

Keyword(s):

Liquid Crystals ◽

Strong Solution ◽

Incompressible Flow ◽

Density Dependent ◽

Global Strong Solution

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Uniform local well-posedness for an Ericksen–Leslie’s density-dependent parabolic–hyperbolic liquid crystals model

Applied Mathematics Letters ◽

10.1016/j.aml.2017.04.012 ◽

2017 ◽

Vol 74 ◽

pp. 79-84 ◽

Author(s):

Jishan Fan ◽

Yong Zhou

Keyword(s):

Liquid Crystals ◽

Well Posedness ◽

Density Dependent

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The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2011.04.005 ◽

2011 ◽

Vol 96 (3) ◽

pp. 253-278 ◽

Author(s):

Raphaël Danchin ◽

Francesco Fanelli

Keyword(s):

Euler Equations ◽

Besov Spaces ◽

Well Posedness ◽

Density Dependent

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Nonlinear stability for the three dimensional incompressible flow of nematic liquid crystals

Applied Mathematics Letters ◽

10.1016/j.aml.2014.08.013 ◽

2015 ◽

Vol 39 ◽

pp. 42-46 ◽

Author(s):

Hengyan Li ◽

Weiping Yan

Keyword(s):

Liquid Crystals ◽

Nonlinear Stability ◽

Incompressible Flow ◽

Nematic Liquid Crystals ◽

Three Dimensional

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Local well‐posedness of compressible radiation hydrodynamic equations with density‐dependent viscosities and vacuum

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7064 ◽

2020 ◽

Author(s):

Hao Li ◽

Yachun Li

Keyword(s):

Well Posedness ◽

Hydrodynamic Equations ◽

Density Dependent

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Global well‐posedness for incompressible flow in porous media with partial diffusion or fractional diffusion

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201700129 ◽

2019 ◽

Vol 99 (6) ◽

pp. e201700129

Author(s):

Yana Guo ◽

Haifeng Shang

Keyword(s):

Porous Media ◽

Incompressible Flow ◽

Fractional Diffusion ◽

Flow In Porous Media ◽

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