Research interests
- PDEs in fluid dynamics: inviscid fluids, variable density, incompressible and compressible fluids, geophysical fluids
- Asymptotic behaviour and singular perturbation problems: fast rotation limit, inviscid limit, incompressible limit and multi-scale limits
- Fourier analysis methods for PDEs, Littlewood-Paley theory and Besov spaces
Publications
- D. Del Santo, F. Fanelli, G. Sbaiz, A. Wróblewska-Kamińska: “On the influence of gravity in the dynamics of geophysical flows”
Mathematics in Engineering, 5 (2023), n.1, Paper n. 8, 1-33 (Journal, arXiv)
- G. Sbaiz: "Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations"
Journal of Mathematical Analysis and Applications, 512 (2022), n. 1, 126140, 41 pp. (Journal, arXiv)
- D. Del Santo, F. Fanelli, G. Sbaiz, A. Wróblewska-Kamińska: "A Multiscale Problem for Viscous Heat-Conducting Fluids in Fast Rotation"
Journal of Nonlinear Science, 31 (2021), n. 1, Paper n. 21, 63 pp. (Journal, arXiv)
PhD thesis
- G. Sbaiz: “Some stability and instability issues in the dynamics of highly rotating fluids”
Discussed on the 29th March 2022, 173 pp. (HAL, ArTS)
Grants and Projects
- CRISIS - "Critical Regularity, Interfaces, Scale Interactions and Singularities in the dynamics of non-homogeneous fluids"
(February 2021-January 2025)
Supported by the ANR (Agence Nationale de la Recherche), Project "ANR JCJC 2020"
(coordinator: Francesco Fanelli)
- "Su alcuni problemi di stabilità e instabilità nella dinamica dei fluidi in rotazione rapida" (C2-1288) (December 2019-December 2022)
Supported by Università Italo-Francese/Université Franco-Italienne, Program "Vinci 2020"
