English

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

Analysis of PDEs 2025-04-25 v1

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

Keywords

Cite

@article{arxiv.2504.17285,
  title  = {Some remarks on Liouville type theorems for the 3D steady tropical climate model},
  author = {Yanyan Dong and Zhibing Zhang},
  journal= {arXiv preprint arXiv:2504.17285},
  year   = {2025}
}