Global regularity for the tropical climate model with fractional diffusion on barotropic mode

2018 ◽  
Vol 81 ◽  
pp. 99-104 ◽  
Author(s):  
Mingxuan Zhu
Keyword(s):  
Climate Model ◽  
Global Regularity ◽  
Tropical Climate ◽  
Fractional Diffusion ◽  
Tropical Climate Model ◽  
Barotropic Mode

scholarly journals Global regularity for the tropical climate model with fractional diffusion

2021 ◽  
Vol 6 (10) ◽  
pp. 10369-10382
Author(s):  
Jing Yang ◽  
◽  
Xuemei Deng ◽  
Qunyi Bie ◽  
Keyword(s):  
Climate Model ◽  
Global Regularity ◽  
Tropical Climate ◽  
Fractional Diffusion ◽  
Tropical Climate Model

Global Regularity for a 2D Tropical Climate Model with Fractional Dissipation

2018 ◽  
Vol 29 (2) ◽  
pp. 511-550 ◽  
Author(s):  
Bo-Qing Dong ◽  
Jiahong Wu ◽  
Zhuan Ye
Keyword(s):  
Climate Model ◽  
Global Regularity ◽  
Tropical Climate ◽  
Tropical Climate Model

scholarly journals A regularity criterion for a 2D tropical climate model with fractional dissipation

2021 ◽  
Vol 194 (4) ◽  
pp. 719-736
Author(s):  
Luca Bisconti
Keyword(s):  
Climate Model ◽  
Regularity Criterion ◽  
Tropical Climate ◽  
Baroclinic Mode ◽  
Tropical Climate Model ◽  
Barotropic Mode ◽  
Dissipative Terms ◽  
Math Phys ◽  
Temperature Equation

AbstractTropical climate model derived by Frierson et al. (Commun Math Sci 2:591–626, 2004) and its modified versions have been investigated in a number of papers [see, e.g., Li and Titi (Discrete Contin Dyn Syst Series A 36(8):4495–4516, 2016), Wan (J Math Phys 57(2):021507, 2016), Ye (J Math Anal Appl 446:307–321, 2017) and more recently Dong et al. (Discrete Contin Dyn Syst Ser B 24(1):211–229, 2019)]. Here, we deal with the 2D tropical climate model with fractional dissipative terms in the equation of the barotropic mode u and in the equation of the first baroclinic mode v of the velocity, but without diffusion in the temperature equation, and we establish a regularity criterion for this system.

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