Applications of Mathematics, Vol. 68, No. 3, pp. 329-356, 2023
Global attractors for a tropical climate model
Pigong Han, Keke Lei, Chenggang Liu, Xuewen Wang
Received October 28, 2021. Published online April 8, 2022.
Abstract: 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.
Keywords: tropical climate model; global attractor; Hausdorff dimension; fractal dimension
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Affiliations: Pigong Han, Keke Lei, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China; School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, P. R. China, e-mail: pghan@amss.ac.cn, leikeke@amss.ac.cn; Chenggang Liu (corresponding author), School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, P. R. China, e-mail: lcg@amss.ac.cn; Xuewen Wang, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China; School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, P. R. China, e-mail: xwwang@amss.ac.cn
