English

New Liouville-type theorem for the stationary tropical climate model

Analysis of PDEs 2024-01-23 v1

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 LpL^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.

Keywords

Cite

@article{arxiv.2401.10907,
  title  = {New Liouville-type theorem for the stationary tropical climate model},
  author = {Youseung Cho and Hyunjin In and Minsuk Yang},
  journal= {arXiv preprint arXiv:2401.10907},
  year   = {2024}
}