Global attractors for a tropical climate model

被引：1
|
作者：
Han, Pigong [1 ,2 ]
Lei, Keke [1 ,2 ]
Liu, Chenggang [3 ]
Wang, Xuewen [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[3] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
来源：
APPLICATIONS OF MATHEMATICS | 2023年 / 68卷 / 03期
基金：
中国国家自然科学基金; 国家重点研发计划;
关键词：
tropical climate model; global attractor; Hausdorff dimension; fractal dimension; NAVIER-STOKES EQUATIONS; SPATIAL DECAYS; REGULARITY;
D O I：
10.21136/AM.2022.0230-21
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the global attractors of the tropical climate model. We first establish the global well-posedness of the system. Then by studying the existence of bounded absorbing sets, the global attractor is constructed. The estimates of the Hausdorff dimension and of the fractal dimension of the global attractor are obtained in the end.
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页码：329 / 356
页数：28
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