Some Liouville Theorems for the 3D Stationary Tropical Climate Model in Lorentz Spaces
Lili Hu
College of Mathematics and Physics, China Three Gorges University, Yichang, China
Contribution: Supervision, Methodology, Conceptualization, Writing - original draft, Writing - review & editing
Search for more papers by this authorCorresponding Author
Qunyi Bie
College of Mathematics and Physics & Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, China
Correspondence:
Qunyi Bie ([email protected])
Contribution: Funding acquisition, Writing - review & editing, Supervision
Search for more papers by this authorLili Hu
College of Mathematics and Physics, China Three Gorges University, Yichang, China
Contribution: Supervision, Methodology, Conceptualization, Writing - original draft, Writing - review & editing
Search for more papers by this authorCorresponding Author
Qunyi Bie
College of Mathematics and Physics & Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, China
Correspondence:
Qunyi Bie ([email protected])
Contribution: Funding acquisition, Writing - review & editing, Supervision
Search for more papers by this authorFunding: This research is supported by the National Natural Science Foundation of China (No. 11871305).
ABSTRACT
In this paper, we investigate Liouville theorems for the 3D stationary tropical climate model. We obtain that if a smooth solution satisfies some suitable conditions in the setting of Lorentz spaces, there is only trivial solution to the stationary tropical climate model. Moreover, based on the relationship between the stationary tropical climate model and the stationary magnetohydrodynamic (MHD) equations, we obtain Liouville theorems about the MHD equations. Our results extend and generalize some recent results.
Conflicts of Interest
The authors declare no conflicts of interest.
Open Research
Data Availability Statement
The manuscript has no associated data.
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