Global strong solution of 3D tropical climate model with damping

doi:10.1007/s11464-021-0933-6

Front. Math. China

2021, Vol. 16

Issue (3) : 889-900 https://doi.org/10.1007/s11464-021-0933-6

RESEARCH ARTICLE

Global strong solution of 3D tropical climate model with damping

Baoquan YUAN(

), Ying ZHANG

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

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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) $7 / 2 ≤ α < 4, β ≥ (5 α + 7) / (2 α), γ ≥ 7 / (2 α − 5)$ ; (3) $3 < α ≤ 7 / 2, β, γ ≥ 7 / (2 α − 5)$ .

Keywords Tropical climate model (TCM) damping global regularity

Corresponding Author(s): Baoquan YUAN

Issue Date: 14 July 2021

Cite this article:

Baoquan YUAN,Ying ZHANG. Global strong solution of 3D tropical climate model with damping[J]. Front. Math. China, 2021, 16(3): 889-900.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0933-6
https://academic.hep.com.cn/fmc/EN/Y2021/V16/I3/889

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