17 citations · 34 across the 13 of their papers we have counts for
22 papers · 1 filter
Remarks on some quasi-linear fourth order parabolic equations arising in mathematical physics
Francesco Fanelli, Rafael Granero-Belinchón, Martina Magliocca +1
This note proves existence and uniqueness of strong solutions to a broad class of fourth-order quasi-linear parabolic equations in the class of Wiener spaces. It improves upon prev…
Local and global strong solutions to a reduced model for inviscid micropolar fluids
F. Fanelli, P. G. Fernández Dalgo, M. E. Martínez Martini
This paper investigates the well-posedness issue for a reduced two-dimensional model of micropolar fluids. This reduced model presents a coupling between an Euler-type equation for…
Effective velocity and -based well-posedness for incompressible fluids with odd viscosity
Francesco Fanelli, Alexis F. Vasseur
The present paper is concerned with the well-posedness theory for non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. Differently from previou…
Well-posedness theory for non-homogeneous incompressible fluids with odd viscosity
Francesco Fanelli, Rafael Granero-Belinchón, Stefano Scrobogna
Several fluid systems are characterised by time reversal and parity breaking. Examples of such phenomena arise both in quantum and classical hydrodynamics. In these situations, the…
Fast rotating non-homogeneous fluids in thin domains and the Ekman pumping effect
Marco Bravin, Francesco Fanelli
In this paper, we perform the fast rotation limit of the density-dependent incompressible Navier-Stokes-Coriolis system in a thin strip $Ω_\varepsilon\,…
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…