Regularity criteria of the axisymmetric Navier-Stokes equations and Hardy-Sobolev inequality in mixed Lorentz spaces

被引：0
|
作者：
Wang, Yanqing [1 ]
Huang, Yike [1 ]
Wei, Wei [2 ,3 ]
Yu, Huan [4 ]
机构：
[1] Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
[2] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China
[3] Northwest Univ, Ctr Nonlinear Studies, Xian 710127, Shaanxi, Peoples R China
[4] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 533卷 / 01期
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Navier-Stokes equations; Regularity; Hardy-Sobolev inequality; Mixed Lorentz spaces; GAGLIARDO-NIRENBERG; WEAK SOLUTIONS;
D O I：
10.1016/j.jmaa.2023.128050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we refine some known regularity criteria of the 3D axisymmetric Navier-Stokes equations via establishing several new Hardy-Sobolev inequalities in mixed Lebesgue spaces and mixed Lorentz spaces. These inequalities cover many known corresponding results and are of independent interest. (c) 2023 Elsevier Inc. All rights reserved.
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页数：18
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