Gabriele Sbaiz

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I was a PhD student in Maths, in the PDEs team, with a co-tutorial thesis under the supervision of Daniele Del Santo (Università degli Studi di Trieste, Trieste, Italy) and Francesco Fanelli (Institut Camille Jordan, Lyon, France). The scope of my PhD thesis was to investigate some stability and instability issues in the mathematical theory of fast rotating fluids. As a first goal, we have investigated the interplay of stratification and fast rotation in the dynamics of geophysical flows, focusing on the case of the compressible Navier-Stokes-Fourier system, following recent results on multi-scale analysis by Feireisl and Novotný. As a second aim, we have focused on the study of hyperbolic type problems and, in particular, we have dealt with the incompressible Euler equations with density variation and, in addition, the Coriolis force.
I have defended my PhD thesis "Some stability and instability issues in the dynamics of highly rotating fluids" on the 29^th March 2022 at the Università degli Studi di Trieste.