Global Attractors for the Three-Dimensional Tropical Climate Model with Damping Terms

Bulletin of the Malaysian Mathematical Sciences Society(2024)

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Abstract
In this paper, we consider the 3D tropical climate model with damping terms in the equation of u , v and θ , respectively. Firstly, we get some uniform estimates of strong solution. Secondly, we derive the result of the continuity of the semigroup {S(t)}_t≥ 0 in case of 4≤α ,β <5 and 13/5<γ <5 via some usual inequalities. Finally, the system ( 1.1 ) is shown to possess an (𝕍,𝕍) -global attractor and an (𝕍,H^2) -global attractor.
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Key words
Global attractor,Tropical climate model,Damping terms
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