Abstract

We study the Liouville-type theorem for smooth solutions to the steady 3D tropical climate model. We prove the Liouville-type theorem if a smooth solution satisfies a certain growth condition in terms of Lp-norm on annuli, which improves the previous results, Theorem 1.1 by Ding and Wu (2021), and Theorem 1.1 and Theorem 1.2 by Yuan and Wang (2023).

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