贝索夫空间中三维布辛涅斯克方程的一些新的正则性准则

doi:10.13371/j.cnki.chin.q.j.m.2024.01.007

数学季刊 ›› 2024, Vol. 39 ›› Issue (1): 73-81.doi: 10.13371/j.cnki.chin.q.j.m.2024.01.007

贝索夫空间中三维布辛涅斯克方程的一些新的正则性准则

邹绵璐¹, 李强²

1. School of Big Data and Artificial Intelligence, Xinyang College, Xinyang 464000, China; 2. School of Mathematics and Statistics, Xinyang College, Xinyang 464000, China

收稿日期:2023-01-27 出版日期:2024-03-30 发布日期:2024-03-14
通讯作者: LI Qiang (1993-), male, native of Nanyang, Henan, assistant of Xinyang College, engages in partial differential equations. E-mail: liqiang5412@163.com
作者简介: ZOU Mian-lu (1994-), female, native of Xinyang, Henan, lecturer of Xinyang College, engages in machine learning; LI Qiang (1993-), male, native of Nanyang, Henan, assistant of Xinyang College, engages in partial differential equations.
基金资助:
Supported by Xinyang College Scientific Research Project (Grant Nos. 2022-XJLYB-004 and 2022-XJLYB-018).

Some New Regularity Criteria for the 3D Boussinesq Equations in Homogeneous Besov Spaces

ZOU Mian-lu¹, LI Qiang²

1. School of Big Data and Artificial Intelligence, Xinyang College, Xinyang 464000, China; 2. School of Mathematics and Statistics, Xinyang College, Xinyang 464000, China

Received:2023-01-27 Online:2024-03-30 Published:2024-03-14
Contact: LI Qiang (1993-), male, native of Nanyang, Henan, assistant of Xinyang College, engages in partial differential equations. E-mail: liqiang5412@163.com
About author: ZOU Mian-lu (1994-), female, native of Xinyang, Henan, lecturer of Xinyang College, engages in machine learning; LI Qiang (1993-), male, native of Nanyang, Henan, assistant of Xinyang College, engages in partial differential equations.
Supported by:
Supported by Xinyang College Scientific Research Project (Grant Nos. 2022-XJLYB-004 and 2022-XJLYB-018).

摘要/Abstract

摘要： In this paper, we study the regularity criterion for the three-dimensional Boussinesq equations in Besov spaces. We show that the smooth solution (u,θ) is regular if the horizonal velocity uh holds

关键词: Boussinesq equations, Velocity components, Regularity criterion

Abstract: In this paper, we study the regularity criterion for the three-dimensional Boussinesq equations in Besov spaces. We show that the smooth solution (u,θ) is regular if the horizonal velocity uh holds

Key words: Boussinesq equations, Velocity components, Regularity criterion

中图分类号:

O175.29

邹绵璐, 李强. 贝索夫空间中三维布辛涅斯克方程的一些新的正则性准则[J]. 数学季刊, 2024, 39(1): 73-81.

ZOU Mian-lu, LI Qiang. Some New Regularity Criteria for the 3D Boussinesq Equations in Homogeneous Besov Spaces[J]. Chinese Quarterly Journal of Mathematics, 2024, 39(1): 73-81.

[1]	王术, 孙瑞. 具有非线性边界条件的不可压 MHD-Boussinesq方程组初边值问题的整体适定性#br#[J]. 数学季刊, 2023, 38(3): 290-310.
[2]	刘坤红, 原保全. 三维不可压霍尔磁流体方程组弱解的正则性准则[J]. 数学季刊, 2015, 30(3): 339-348.

贝索夫空间中三维布辛涅斯克方程的一些新的正则性准则

Some New Regularity Criteria for the 3D Boussinesq Equations in Homogeneous Besov Spaces

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