二维贝里斯-爱德华兹系统的静水极限

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2024-07-18 DOI:10.4310/cms.2024.v22.n6.a11

Xingyu Li, Marius Paicu, Arghir Zarnescu

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引用次数: 0

摘要

我们研究了模拟向列液晶二维流体力学运动的比例各向异性同向旋转 Beris-Edwards 系统。我们证明了在薄带域中以少量解析数据进行全局良好求解的可能性。此外，我们还证明了涉及静力学 Navier-Stokes 系统的分析数据的极限，并证明了收敛性。

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The hydrostatic limit of the Beris-Edwards system in dimension two

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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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.