Journal
ACTA APPLICANDAE MATHEMATICAE
Volume 180, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/s10440-022-00508-8
Keywords
Magnetohydrodynamics; Boussinesq; Rayleigh-Benard convection; Axisymmetric; Global regularity
Categories
Funding
- National Natural Science Foundation of China [11801268, 12031006]
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This paper extends previous results on the global regularity of solutions for the three-dimensional non-resistive MHD system and non-diffusive Boussinesq system by showing that solutions of the three-dimensional non-resistive and non-diffusive MHD-Boussinesq system are globally regular when the initial data is axisymmetric and the swirl components of the velocity and the magnetic vorticity are zero. The method used here can also be applied to the magnetic Rayleigh-Benard convection system.
In this paper, we will show that solutions of the three-dimensional non-resistive and non-diffusive MHD-Boussinesq system are globally regular if the initial data is axisymmetric and the swirl components of the velocity and the magnetic vorticity are zero. Our main result extends previous ones on the three-dimensional non-resistive MHD system and non-diffusive Boussinesq system, and the method used here can also be applied to the magnetic Rayleigh-Benard convection system.
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