An Elementary Proof of Eigenvalue Preservation for the Co-rotational Beris-Edwards System

被引：2

作者：

Contreras, Andres ^{[1
]}

Xu, Xiang ^{[2
]}

Zhang, Wujun ^{[3
]}

机构：

[1] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

[2] Old Dominion Univ, Dept Math & Stat, Norfolk, VA 23529 USA

[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

JOURNAL OF NONLINEAR SCIENCE | 2019年 / 29卷 / 02期

关键词：

Corotational Beris-Edwards system; Q-tensor; Eigenvalue preservation; MODEL;

D O I：

10.1007/s00332-018-9503-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the corotational Beris-Edwards system modeling nematic liquid crystals and revisit the eigenvalue preservation property discussed in Wu et al. (Arch Rational Mech Anal,2018.10.1007/s00205-018-1297-2). We give an alternative but direct proof to the eigenvalue preservation of the initial data for the Q-tensor. It is noted that our proof is not only valid in the whole-space case, but in the bounded-domain case as well.

引用

页码：789 / 801

页数：13

共 9 条

[1] An Elementary Proof of Eigenvalue Preservation for the Co-rotational Beris-Edwards System
Andres Contreras
Xiang Xu
Wujun Zhang
Journal of Nonlinear Science, 2019, 29 : 789 - 801
[2] THE PARABOLIC FRACTAL DIMENSION FOR THE CO-ROTATIONAL BERIS-EDWARDS SYSTEM
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (03): : 1301 - 1318
[3] On partial regularity for weak solutions to the 3D co-rotational Beris-Edwards system
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[4] The Minkowski dimension of suitable weak solutions of the 3D co-rotational Beris-Edwards system
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[5] WELL-POSEDNESS OF THE CO-ROTATIONAL BERIS-EDWARDS SYSTEM WITH THE LANDAU-DE GENNES ENERGY IN L 3 uloc ( R 3 )
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[8] Global well-posedness of the two dimensional Beris-Edwards system with general Laudau-de Gennes free energy
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JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (12) : 6958 - 7001
[9] Global Existence of Strong Solutions for Beris-Edwards's Liquid Crystal System in Dimension Three
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MATHEMATICS, 2019, 7 (10)

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