Chinese Quarterly Journal of Mathematics ›› 2024, Vol. 39 ›› Issue (1): 73-81.doi: 10.13371/j.cnki.chin.q.j.m.2024.01.007

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

  

  1. 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).

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

CLC Number: