4 papers
Some stability and instability issues in the dynamics of highly rotating fluids
Gabriele Sbaiz
In the present thesis, we are interested in the description of the dynamics of flows on large scales. In this context, the fluids are governed by rotational, weak compressibility a…
On the influence of gravity in the dynamics of geophysical flows
Daniele Del Santo, Francesco Fanelli, Gabriele Sbaiz +1
In the present paper, we study a multiscale limit for the barotropic Navier-Stokes system with Coriolis and gravitational forces, for vanishing values of the Mach, Rossby and Froud…
Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations
Gabriele Sbaiz
In the present paper, we study the fast rotation limit for the density-dependent incompressible Euler equations in two space dimensions with the presence of the Coriolis force. In…
A multi-scale problem for viscous heat-conducting fluids in fast rotation
Daniele Del Santo, Francesco Fanelli, Gabriele Sbaiz +1
In the present paper, we study the combined incompressible and fast rotation limits for the full Navier-Stokes-Fourier system with Coriolis, centrifugal and gravitational forces, i…