Abstract
We establish the global well-posedness of a strong solution to the 3D tropical climate model with damping. We prove that there exists the global and unique solution for α, β, γ satisfying one of the following three conditions: (1) α, β ⩾ 4; (2) 7/2 ⩽ α < 4, β ⩾ (5α + 7)/(2α), γ ⩾ 7/(2α − 5); (3) 3 < α ⩽ 7/2, β, γ ⩾ 7/(2α − 5).
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Acknowledgements
The research of Baoquan Yuan was partially supported by the National Natural Science Foundation of China (Grant No. 11471103).
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Yuan, B., Zhang, Y. Global strong solution of 3D tropical climate model with damping. Front. Math. China 16, 889–900 (2021). https://doi.org/10.1007/s11464-021-0933-6
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DOI: https://doi.org/10.1007/s11464-021-0933-6