Global attractor of atmospheric circulation equations with humidity effect. (English) Zbl 1246.86012

Summary: Global attractor of atmospheric circulation equations is considered in this paper. Firstly, it is proved that this system possesses a unique global weak solution in \(L^2(\Omega, \mathbb{R}^4)\). Secondly, by using \(C\)-condition, it is obtained that atmospheric circulation equations have a global attractor in \(L^2(\Omega, \mathbb{R}^4)\).


86A10 Meteorology and atmospheric physics
35Q86 PDEs in connection with geophysics
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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