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