Global regularity for a special family of axisymmetric solutions to the three-dimensional magnetic Bénard problem

ABSTRACT

We study the three-dimensional magnetic Bénard problem, and establish the global regularity for a special family of axisymmetric solutions.

Keywords:

• Axisymmetric magnetic Bénard problem
• global regularity

AMS Subject Classifications:

• 35B65
• 35Q35
• 76D03

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

Zujin Zhang is partially supported by the National Natural Science Foundation of China [grant number 11501125], [grant number 11761009]; the Natural Science Foundation of Jiangxi [grant number 20171BAB201004]. Tong Tang is partially supported by NSF of Jiangsu Province [grant number BK20150794].