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

被引：0
作者：
Luca Bisconti
机构：
[1] Università degli Studi di Firenze,Dipartimento di Matematica e Informatica “U. Dini”
来源：
Monatshefte für Mathematik | 2021年 / 194卷
关键词：
Regularity criterion; Tropical climate model; Tropical atmospheric dynamics; Navier–Stokes equations; 35Q35; 35Q30; 35B65; 76D03;
D O I：
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学科分类号：
摘要：
Tropical 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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页码：719 / 736
页数：17
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