Global existence of weak solutions to the two-dimensional nematic liquid crystal flow with partially free boundary

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-10-25 DOI:10.1112/jlms.70008

Yannick Sire, Yantao Wu, Yifu Zhou

引用次数: 0

Abstract

We consider a nematic liquid crystal flow with partially free boundary in a smooth bounded domain in $R^{2}$ . We prove regularity estimates and the global existence of weak solutions enjoying partial regularity properties, and a uniqueness result.

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部分自由边界二维向列液晶流弱解的全局存在性

我们考虑了在 R 2 $\mathbb {R}^2$ 的光滑有界域中具有部分自由边界的向列液晶流。我们证明了正则性估计和具有部分正则性的弱解的全局存在性，以及唯一性结果。

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

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.