Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces

被引：8

作者：

Agarwal, Ravi P. ^{[3
]}

Alghamdi, Ahmad M. ^{[4
]}

Gala, Sadek ^{[1
,5
]}

Ragusa, Maria Alessandra ^{[1
,2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Catania, Italy

[2] Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam

[3] Texas A&M Univ, Dept Math, Kingsville, TX USA

[4] Umm Al Qura Univ, Fac Appl Sci, Dept Math Sci, Mecca 21955, Saudi Arabia

[5] Univ Mostaganem, Mostaganem 27000, Algeria

来源：

DEMONSTRATIO MATHEMATICA | 2023年 / 56卷 / 01期

关键词：

Boussinesq equations; regularity criterion; weak solutions; anisotropic Lorentz space; BLOW-UP CRITERION; GLOBAL WELL-POSEDNESS; LOCAL EXISTENCE; VISCOSITY; SYSTEM;

D O I：

10.1515/dema-2022-0221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces. This result reveals that the velocity field plays a dominant role in regularity theory of the Boussinesq equations.

引用

页数：11

共 37 条

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