Global regularity of solutions for the 3D non-resistive and non-diffusive MHD-Boussinesq system with axisymmetric data
Analysis of PDEs
2022-08-08 v2
Abstract
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-B\'{e}nard convection system.
Keywords
Cite
@article{arxiv.1911.01550,
title = {Global regularity of solutions for the 3D non-resistive and non-diffusive MHD-Boussinesq system with axisymmetric data},
author = {Xinghong Pan},
journal= {arXiv preprint arXiv:1911.01550},
year = {2022}
}
Comments
17pages