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, 李强

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

数学季刊 >

2024 , Vol. 39 >Issue 1: 73 - 81

DOI: https://doi.org/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

展开

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

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.

收稿日期: 2023-01-27

网络出版日期: 2024-03-14

基金资助

Supported by Xinyang College Scientific Research Project (Grant Nos. 2022-XJLYB-004 and 2022-XJLYB-018).

收起

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

Expand

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 date: 2023-01-27

Online published: 2024-03-14

Supported by

Supported by Xinyang College Scientific Research Project (Grant Nos. 2022-XJLYB-004 and 2022-XJLYB-018).

Fold

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

本文引用格式

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

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

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract