Regularity of Global Attractor for Atmospheric Circulation Equations with Humidity Effect  

作　　者：Jiao-jiao PAN Qian JIANG Ting-wei RUAN Hong LUO 

机构地区：[1]School of Mathematical Sciences, Sichuan Normal University

出　　处：《Acta Mathematicae Applicatae Sinica》2019年第4期820-829,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11701399)

摘　　要：In this article, regularity of the global attractor for atmospheric circulation equations with humidity effect is considered. It is proved that atmospheric circulation equations with humidity effect possess a global attractor in H^k(?, R^4) for any k≥0, which attracts any bounded set of H^k(Ω, R^4) in the H^k-norm. The result is established by means of an iteration technique and regularity estimates for the linear semigroup of operator, together with a classical existence theorem of global attractor.In this article, regularity of the global attractor for atmospheric circulation equations with humidity effect is considered. It is proved that atmospheric circulation equations with humidity effect possess a global attractor in H^k(?, R^4) for any k≥0, which attracts any bounded set of H^k(?, R^4) in the H^k-norm. The result is established by means of an iteration technique and regularity estimates for the linear semigroup of operator, together with a classical existence theorem of global attractor.

关 键 词：global ATTRACTOR REGULARITY atmospheric CIRCULATION EQUATIONS humidity effect 

分 类 号：O175[理学—数学]