Regularity of Global Attractor for Atmospheric Circulation Equations with Humidity Effect

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.