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

Authors :
Bisconti, Luca
Source :
Monatshefte für Mathematik; Apr2021, Vol. 194 Issue 4, p719-736, 18p
Publication Year :
2021

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00269255
Volume :
194
Issue :
4
Database :
Complementary Index
Journal :
Monatshefte für Mathematik
Publication Type :
Academic Journal
Accession number :
149171513
Full Text :
https://doi.org/10.1007/s00605-021-01532-w