17 citations · 132 across the 34 of their papers we have counts for
4 papers · 1 filter
Well-posedness and singularity formation for the Kolmogorov two-equation model of turbulence in 1-D
Francesco Fanelli, Rafael Granero-Belinchón
We study the Kolomogorov two-equation model of turbulence in one space dimension. Two are the main results of the paper. First of all, we establish a local well-posedness theory in…
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…
Low Mach number limit for degenerate Navier-Stokes equations in presence of strong stratification
Francesco Fanelli, Ewelina Zatorska
In this paper, we investigate the low Mach and low Froude numbers limit for the compressible Navier-Stokes equations with degenerate, density-dependent, viscosity coefficient, in t…
Symmetry breaking in ideal magnetohydrodynamics: the role of the velocity
Dimitri Cobb, Francesco Fanelli
The ideal magnetohydrodynamic equations are, roughly speaking, a quasi-linear symmetric hyperbolic system of PDEs, but not all the unknowns play the same role in this system. Indee…