New Liouville-type theorem for the stationary tropical climate model

Youseung Cho; Hyunjin In; Minsuk Yang

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arXiv · 2401.10907

New Liouville-type theorem for the stationary tropical climate model

Youseung Cho·Hyunjin In·Minsuk Yang

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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 $L^p$-norm on annuli, which improves the previous results, Theorem 1.1 (Math. Methods Appl. Sci. 44, 2021) by Ding and Wu, and Theorem 1.1 and Theorem 1.2 (Appl. Math. Lett. 138, 2023) by Yuan and Wang.

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Youseung Cho, Hyunjin In, Minsuk Yang. 2024-01-08. New Liouville-type theorem for the stationary tropical climate model. https://arxiv.org/abs/2401.10907

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