THE HYDROSTATIC LIMIT OF THE BERIS-EDWARDS SYSTEM IN DIMENSION TWO

被引：0

作者：

Li, Xingyu ^{[1
,2
]}

Paicu, Marius ^{[3
]}

Zarnescu, Arghir ^{[1
,4
,5
]}

机构：

[1] Basque Ctr Appl Math, BCAM, Mazarredo 14, E-48009 Bilbao, Bizkaia, Spain

[2] Univ Paul Sabatier, Inst Math Toulouse, Toulouse, France

[3] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France

[4] Basque Fdn Sci, IKERBASQUE, Pl Euskadi 5, Bilbao 48009, Spain

[5] Romanian Acad, Simion Stoilow Inst Math, POB 1-764, RO-014700 Bucharest, Romania

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2024年 / 22卷 / 06期

关键词：

Beris-Edwards system; liquid crystals; Q-tensor; hydrostatic limit; NAVIER-STOKES; EXISTENCE; FLOW;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the scaled anisotropic co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in dimension two. We prove the global well-posedness with small analytic data in a thin strip domain. Moreover, we justify the limit to a system involving the hydrostatic Navier-Stokes system with analytic data and prove the convergence.

引用

页码：1701 / 1732

页数：32

共 34 条

[1] Suitable Weak Solutions for the Co-rotational Beris-Edwards System in Dimension Three
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ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 238 (02) : 749 - 803
[2] Global Existence of Strong Solutions for Beris-Edwards's Liquid Crystal System in Dimension Three
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[3] THE PARABOLIC FRACTAL DIMENSION FOR THE CO-ROTATIONAL BERIS-EDWARDS SYSTEM
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[4] Global well-posedness of the two dimensional Beris-Edwards system with general Laudau-de Gennes free energy
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[5] An Elementary Proof of Eigenvalue Preservation for the Co-rotational Beris-Edwards System
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[6] An Elementary Proof of Eigenvalue Preservation for the Co-rotational Beris-Edwards System
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[7] The Minkowski dimension of suitable weak solutions of the 3D co-rotational Beris-Edwards system
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[8] Dynamics and Flow Effects in the Beris-Edwards System Modeling Nematic Liquid Crystals
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[9] ON THE CONVERGENCE OF AN IEQ-BASED FIRST-ORDER SEMI-DISCRETE SCHEME FOR THE BERIS-EDWARDS SYSTEM
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[10] Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals
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PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 474 (2210):

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