| Abstract: |
| We consider the Tropical Climate Model (TCM) in three spatial dimensions within the framework of mathematical fluid dynamics. The TCM consists of a coupled system of diffusion equations for two modes of wind velocity and the temperature. Similar to other well-known 3D systems in fluid dynamics, such as the Navier-Stokes equations, the global-in-time well-posedness of the 3D TCM remains an open problem. In collaboration with L. Bisconti (University of Florence, Italy) and Davide Catania (eCampus, Italy), we present new results on the analysis of regularized versions of the 3D TCM, particularly when nonlinear dampings are introduced. |
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