Global attractor for the three-dimensional Bardina tropical climate model

Abstract

We prove the existence of global solutions and of a global attractor for a regularized viscous 3D tropical climate model. The regularization is carried out by means of the Helmholtz filter, in the spirit of what is done for some families of LES-turbulence models, thus obtaining (as α-model) the 3D Bardina tropical climate model for which we consider the associated dynamics.

Keywords:

• Tropical climate model
• incompressible fluids
• turbulence models
• global regularity
• global attractor

AMS Classifications:

• 35Q35
• 35Q30
• 35B65
• 76D03

Acknowledgments

The authors are members of the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM).

Disclosure statement

No potential conflict of interest was reported by the author(s).