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Global strong solutions and large time behavior of 2D tropical climate model with zero thermal diffusion
  • Dongjuan Niu,
  • Huiru Wu
Dongjuan Niu
Capital Normal University

Corresponding Author:djniu@cnu.edu.cn

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Huiru Wu
Capital Normal University
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In this article, we study the global well-posedness and large-time behaviors of solutions to the two-dimensional tropical climate system with zero thermal diffusion for a small initial data in the whole space. The main approaches include high and low frequency decomposition method and exploiting the structure of system (1) to obtain the estimates of thermal dissipation. We utilize the time decay properties of the kernels to a linear differential equation to obtain the decay rates of solutions of the low frequency part and the decay property of exponential operator for the high frequency part. The key ingredient here is the explicit large-time decay rate of solutions.
01 Dec 2021Submitted to Mathematical Methods in the Applied Sciences
02 Dec 2021Assigned to Editor
02 Dec 2021Submission Checks Completed
21 Dec 2021Reviewer(s) Assigned
06 Apr 2022Review(s) Completed, Editorial Evaluation Pending
08 Apr 2022Editorial Decision: Accept
15 Nov 2022Published in Mathematical Methods in the Applied Sciences volume 45 issue 16 on pages 9341-9370. 10.1002/mma.8310