Global Strong Solutions and Large-time Behavior of 2D Tropical Climate Model

作     者：Dong-juan NIU Ying WANG Dong-juan NIU;Ying WANG

作者机构：School of Mathematical SciencesCapital Normal UniversityBeijing 100048China School of Physical Science and TechnologyGuangxi UniversityNanning 530004China 

出 版 物：《应用数学学报:英文版》 (Acta Mathematicae Applicatae Sinica)

年 卷 期：2023年第39卷第4期

页      面：886-925页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：partially supported by the key research project of National Natural Science Foundation of China (Grant No.11931010) 

主　　题：tropical climate model large-time behavior global well-posedness 

摘      要：In this paper we mainly deal with the global well-posedness and large-time behavior of the 2D tropical climate model with small initial data. We first establish the global well-posedness of solution in the Besov space, then we obtain the optimal decay rates of solutions by virtue of the frequency decomposition method. Specifically, for the low frequency part, we use the Fourier splitting method of Schonbek and the spectrum analysis method, and for the high frequency part, we use the global energy estimate and the behavior of exponentially decay operator.