scholarly journals Global well-posedness and large time decay for the d-dimensional tropical climate model

2021 ◽  
Vol 6 (6) ◽  
pp. 5581-5595
Author(s):  
Zhaoxia Li ◽  
◽  
Lihua Deng ◽  
Haifeng Shang
Keyword(s):  
Large Time ◽  
Climate Model ◽  
Tropical Climate ◽  
Well Posedness ◽  
Time Decay ◽  
Tropical Climate Model

scholarly journals Global strong solutions and large time behavior of 2D tropical climate model with zero thermal diffusion

2021 ◽  
Author(s):  
Dongjuan Niu ◽  
Huiru Wu
Keyword(s):  
Thermal Diffusion ◽  
Large Time ◽  
Climate Model ◽  
Low Frequency ◽  
Tropical Climate ◽  
Decay Rates ◽  
Thermal Dissipation ◽  
Time Behavior ◽  
Time Decay ◽  
Small Initial Data

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.

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