涉及速度梯度张量的三维液晶方程的全局正则性

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-01-24 DOI:10.1016/j.jde.2025.01.075

Lingling Zhao

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引用次数: 0

摘要

本文证明了三维向列液晶方程的弱解通过速度梯度张量和方向场的水平导数分量的一个入口是规则的，这是对以往方程的改进。将给出几个常规标准，其中包括端点常规标准。

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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On the global regularity to 3D liquid crystal equations involving one entry of the velocity gradient tensor

This paper show that the weak solution is regular via one entry of the velocity gradient tensor and the horizontal derivative components of orientation field for 3D nematic liquid crystal equations, which is an improved version for previous ones. Several regular criteria will be given, among which the endpoint regular criteria be included.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics