Global Attractors for the Three-Dimensional Tropical Climate Model with Damping Terms
Bulletin of the Malaysian Mathematical Sciences Society(2024)
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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