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Abstract
We establish the global existence and uniqueness of strong solutions for nonhomogeneous magnetic Bénard system with far field vacuum in the whole two-dimensional (2D) plane. In particular, the initial data can be arbitrarily large. Our method relies heavily on the structure of the system under consideration and spatial dimension.
Acknowledgments
The author would like to thank the referees for their helpful suggestions and valuable comments, which helped him a lot to improve the presentation of the original manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This research was partially supported by the National Natural Science Foundation of China [grant numbers 11901474 and 12371227] and the Innovation Support Program for Chongqing Overseas Returnees [grant number cx2020082].