Research establishes liouville type theorems in the 3d steady tropical climate model, suggesting improvements over previous findings.
Observing the special structure of the system and using the Poincar{\'{e}}-Sobolev inequality, we establish Liouville type theorems for the 3D steady tropical climate model under certain conditions on u, v, ∇ θ. Our results extend and improve a Liouville type result of Cho-In-Yang (arXiv:2312.17441).
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Dong et al. (2025) studied this question.
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