Anisotropic Liouville theorem for the three-dimensional stationary tropical climate model

SONG Huiyang; ZHOU Yanping

doi:10.13471/j.cnki.acta.snus.ZR20240008

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Anisotropic Liouville theorem for the three-dimensional stationary tropical climate model

Research articles | 更新时间：2025-11-14

- Anisotropic Liouville theorem for the three-dimensional stationary tropical climate model
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 64, Issue 4, Pages: 128-133(2025)
- 作者机构：
  
  三峡大学数理学院，湖北宜昌 443002
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.ZR20240008
  CLC： O175.4
- Received：04 January 2024，
  
  Accepted：14 February 2025，
  
  Published Online：21 April 2025，
  
  Published：25 July 2025
- 稿件说明：
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宋辉洋,周艳平.三维稳态热带气候模型各向异性的Liouville定理[J].中山大学学报(自然科学版)(中英文),2025,64(04):128-133.

SONG Huiyang,ZHOU Yanping.Anisotropic Liouville theorem for the three-dimensional stationary tropical climate model[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2025,64(04):128-133.
宋辉洋,周艳平.三维稳态热带气候模型各向异性的Liouville定理[J].中山大学学报(自然科学版)(中英文),2025,64(04):128-133. DOI： 10.13471/j.cnki.acta.snus.ZR20240008.

SONG Huiyang,ZHOU Yanping.Anisotropic Liouville theorem for the three-dimensional stationary tropical climate model[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2025,64(04):128-133. DOI： 10.13471/j.cnki.acta.snus.ZR20240008.

摘要

为了使三维稳态热带气候模型只有平凡的零解，利用能量估计方法以及Sobolev嵌入得到了使其成立的充分条件，其中关于速度场的可积性条件涉及到各向异性. 所得结论推广了已有的关于三维稳态热带气候模型Liouville定理的结果.

Abstract

In order to make the three-dimensional steady-state tropical climate model only have the trivial zero solution， sufficient conditions are obtained by using the energy estimation and Sobolev embedding， in which the integrability of the velocity field involves the anisotropy. The result obtained extends the known results with respect to Liouville theorem for three-dimensional steady-state tropical climate model.

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Department of Physics, State University of New York at Buffalo,, New York

Department of Physics and Electronic Engineering, Hanshan Normal University, Chaozhou

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