TY - JOUR T1 - Global Well-Posedness for the 3D Tropical Climate Model Without Thermal Diffusion AU - Yu , Yanghai AU - Li , Jinlu AU - Yin , Xiuwei JO - Journal of Partial Differential Equations VL - 4 SP - 344 EP - 359 PY - 2022 DA - 2022/10 SN - 35 DO - http://doi.org/10.4208/jpde.v35.n4.4 UR - https://global-sci.org/intro/article_detail/jpde/21053.html KW - Tropical climate model, zero thermal diffusion, global well-posedness. AB -

In this paper, we consider the Cauchy problem of 3D tropical climate model with zero thermal diffusion. Firstly, we establish the global regularity for this system with fractional diffusion $\alpha=\beta=5/4.$ Secondly, by adding only a damp term, we obtain the global well-posedness for small initial data.