The regularity criteria of weak solutions to 3D axisymmetric incompressible Boussinesq equations

Yu Dong; Yaofang Huang; Li Li; Qing Lu

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

^*Corresponding author for this work

Ningbo University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	2387-2397
Number of pages	11
Journal	Acta Mathematica Scientia
Volume	43
Issue number	6
DOIs	https://doi.org/10.1007/s10473-023-0604-7
State	Published - Nov 2023
Externally published	Yes

Keywords

35Q35
35Q86
76D03
Boussinesq equations
axisymmetry
regularity criteria

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10.1007/s10473-023-0604-7

Cite this

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title = "The regularity criteria of weak solutions to 3D axisymmetric incompressible Boussinesq equations",

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.",

keywords = "35Q35, 35Q86, 76D03, Boussinesq equations, axisymmetry, regularity criteria",

author = "Yu Dong and Yaofang Huang and Li Li and Qing Lu",

note = "Publisher Copyright: {\textcopyright} 2023, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences.",

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doi = "10.1007/s10473-023-0604-7",

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AU - Dong, Yu

AU - Huang, Yaofang

AU - Li, Li

AU - Lu, Qing

PY - 2023/11

Y1 - 2023/11

N2 - 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.

AB - 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.

KW - 35Q35

KW - 35Q86

KW - 76D03

KW - Boussinesq equations

KW - axisymmetry

KW - regularity criteria

UR - https://www.scopus.com/pages/publications/85175804863

U2 - 10.1007/s10473-023-0604-7

DO - 10.1007/s10473-023-0604-7

M3 - 文章

AN - SCOPUS:85175804863

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JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 6

ER -

The regularity criteria of weak solutions to 3D axisymmetric incompressible Boussinesq equations

Abstract

Keywords

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