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

doi:10.1007/s10473-023-0604-7

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (6): 2387-2397.doi: 10.1007/s10473-023-0604-7

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

Yu DONG, Yaofang HUANG, Li LI^†, Qing LU

School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China

收稿日期:2022-07-05 修回日期:2023-05-30 发布日期:2023-12-08
通讯作者: †Li LI, E-mail: lili2@nbu.edu.cn
作者简介:Yu DONG, E-mail: 2011071009@nbu.edu.cn; Yaofang HUANG, E-mail: 2011071017@nbu.edu.cn; Qing LU, E-mail: 2111071026@nbu.edu.cn
基金资助:
Li's research was supported by the NSFC (12271276).

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

Yu DONG, Yaofang HUANG, Li LI^†, Qing LU

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).

摘要/Abstract

摘要： 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.

关键词: Boussinesq equations, regularity criteria, axisymmetry

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

中图分类号:

35Q35

Yu DONG, Yaofang HUANG, Li LI, Qing LU. THE REGULARITY CRITERIA OF WEAK SOLUTIONS TO 3D AXISYMMETRIC INCOMPRESSIBLE BOUSSINESQ EQUATIONS^*[J]. 数学物理学报(英文版), 2023, 43(6): 2387-2397.

Yu DONG, Yaofang HUANG, Li LI, Qing LU. THE REGULARITY CRITERIA OF WEAK SOLUTIONS TO 3D AXISYMMETRIC INCOMPRESSIBLE BOUSSINESQ EQUATIONS^*[J]. Acta mathematica scientia,Series B, 2023, 43(6): 2387-2397.

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

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

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