ε $\varepsilon$ -三维简化Ericksen-Leslie系统的正则性准则和奇异点数

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2024-10-03 DOI:10.1002/mana.202400071

Zhongbao Zuo

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引用次数: 0

摘要

本文考虑了向列液晶流体动力运动的三维简化Ericksen-Leslie系统的适当弱解的部分正则性，该系统是一个速度场为Navier-Stokes方程和分子取向场为运动学输运方程的耦合系统。给出了三维简化Ericksen-Leslie系统弱解的正则性准则。而且，在条件下

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ε $\varepsilon$ -Regularity criteria and the number of singular points for the 3D simplified Ericksen–Leslie system

In this paper, we consider the partial regularity of suitable weak solution to the 3D simplify Ericksen–Leslie system modeling the hydrodynamical motion of nematic liquid crystal flow, which is a coupled system with the Navier–Stokes equations for the velocity field and kinematic transport equations for the molecular orientation field. We present a new regularity criteria for suitable weak solutions to the 3D simplified Ericksen–Leslie system. Moreover, under the condition

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index