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

ZOU Mian-lu, LI Qiang

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

Chinese Quarterly Journal of Mathematics >

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

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.01.007

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

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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.

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).

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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

Cite this article

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

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