Abstract
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 Hk(Ω, R4) for any k ≥ 0, which attracts any bounded set of Hk(Ω, R4) in the Hk − 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.
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Supported by the National Natural Science Foundation of China (No.11701399).
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Pan, Jj., Jiang, Q., Ruan, Tw. et al. Regularity of Global Attractor for Atmospheric Circulation Equations with Humidity Effect. Acta Math. Appl. Sin. Engl. Ser. 35, 820–829 (2019). https://doi.org/10.1007/s10255-019-0855-1
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DOI: https://doi.org/10.1007/s10255-019-0855-1