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.

引用

页数：18

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