Singularity Formation for Full Ericksen–Leslie System of Nematic Liquid Crystal Flows in Dimension Two

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-06-04 DOI:10.1137/23m1571046

Geng Chen, Tao Huang, Xiang Xu

引用次数: 0

Abstract

SIAM Journal on Mathematical Analysis, Volume 56, Issue 3, Page 3968-4005, June 2024.
Abstract. In this paper, we prove the singularity formation for Poiseuille laminar flow of full Ericksen–Leslie system modeling nematic liquid crystal flows in dimension two. The singularity is due to the geometric effect at the origin.

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二维向列液晶流的全埃里克森-莱斯利系统奇点形成

SIAM 数学分析期刊》，第 56 卷，第 3 期，第 3968-4005 页，2024 年 6 月。摘要本文证明了在二维中模拟向列液晶流的全埃里克森-莱斯利系统的波伊塞尔层流的奇点形成。奇点是由于原点处的几何效应造成的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.