Acta mathematica scientia,Series B ›› 2023, Vol. 43 ›› Issue (6): 2387-2397.doi: 10.1007/s10473-023-0604-7

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THE REGULARITY CRITERIA OF WEAK SOLUTIONS TO 3D AXISYMMETRIC INCOMPRESSIBLE BOUSSINESQ EQUATIONS*

Yu DONG, Yaofang HUANG, Li LI, Qing LU   

  1. School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China
  • Received:2022-07-05 Revised:2023-05-30 Published:2023-12-08
  • Contact: †Li LI, E-mail: lili2@nbu.edu.cn
  • About author:Yu DONG, E-mail: 2011071009@nbu.edu.cn; Yaofang HUANG, E-mail: 2011071017@nbu.edu.cn; Qing LU, E-mail: 2111071026@nbu.edu.cn
  • Supported by:
    Li's research was supported by the NSFC (12271276).

Abstract: In this paper, we obtain new regularity criteria for the weak solutions to the three dimensional axisymmetric incompressible Boussinesq equations. To be more precise, under some conditions on the swirling component of vorticity, we can conclude that the weak solutions are regular.

Key words: Boussinesq equations, regularity criteria, axisymmetry

CLC Number: 

  • 35Q35
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