Remarks on the Anisotropic Liouville Theorem for the Stationary Tropical Climate Model

This paper studies the Liouville type theorems for stationary the tropical climate model on the whole space ${\mathbb{R}}^3$ $\mathbb{R}^{3}$ . It shows that if $(u,v,\theta )$ $(u,v,\theta )$ satisfies certain anisotropic integrability conditions on the components of the $u$ $u$ or $(u,v)$ $(u,v)$ , also $\theta$ $\theta $ satisfies certain isotropic integrability conditions, there is only a trivial solution to the stationary tropical climate model. The results are a further extension of the recent work by Chae (Appl. Math. Lett. 142:108655, 2023).