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.
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页码：1701 / 1732
页数：32
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