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arXiv · 2504.17285

Some remarks on Liouville type theorems for the 3D steady tropical climate model

Yanyan Dong·Zhibing Zhang
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Abstract

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 $u$, $v$, $\nabla \theta$. Our results extend and improve a Liouville type result of Cho-In-Yang (arXiv:2312.17441).

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Yanyan Dong, Zhibing Zhang. 2025-04-24. Some remarks on Liouville type theorems for the 3D steady tropical climate model. https://arxiv.org/abs/2504.17285

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