17 citations · 132 across the 34 of their papers we have counts for
41 papers
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 of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces
Ophélie Cuvillier, Francesco Fanelli, Elena Salguero
In this paper, we study the well-posedness of the Kolmogorov two-equation model of turbulence in a periodic domain , for space dimensions . We admit the averag…
Well-posedness results for hyperbolic operators with coefficients rapidly oscillating in time
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli
In the present paper, we consider second order strictly hyperbolic linear operators of the form , for $(t,x)\in[0,T]\tim…
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\,…
Finite time blow-up for some parabolic systems arising in turbulence theory
Francesco Fanelli, Rafael Granero-Belinchón
We study a class of non-linear parabolic systems relevant in turbulence theory. Those systems can be viewed as simplified versions of the Prandtl one-equation and Kolmogorov two-eq…
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…
Some remarks on steady solutions to the Euler system in
Francesco Fanelli, Eduard Feireisl
We show that the Euler system of gas dynamics in , , with positive far field density and arbitrary far field entropy, admits infinitely many steady solutions w…
Anisotropy and stratification effects in the dynamics of fast rotating compressible fluids
Edoardo Bocchi, Francesco Fanelli, Christophe Prange
The primary goal of this paper is to develop robust methods to handle two ubiquitous features appearing in the modeling of geophysical flows: (i) the anisotropy of the viscous stre…
Elsässer formulation of the ideal MHD and improved lifespan in two space dimensions
Dimitri Cobb, Francesco Fanelli
In the present paper, we show an improved lower bound for the lifespan of the solutions to the ideal MHD equations in the case of space dimension . In particular, for small in…
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system
Dimitri Cobb, Francesco Fanelli
The goal of this paper is twofold. On the one hand, we introduce a quasi-homogeneous version of the classical ideal MHD system and study its well-posedness in critical Besov spaces…
Ergodic theory for energetically open compressible fluid flows
Francesco Fanelli, Eduard Feireisl, Martina Hofmanová
The ergodic hypothesis is examined for energetically open fluid systems represented by the barotropic Navier--Stokes equations with general inflow/outflow boundary conditions. We s…
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…
Statistical solutions to the barotropic Navier-Stokes system
Francesco Fanelli, Eduard Feireisl
We introduce a new concept of statistical solution in the framework of weak solutions to the barotropic Navier--Stokes system with inhomogeneous boundary conditions. Statistical so…
No loss of derivatives for hyperbolic operators with Zygmund-continuous coefficients in time
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli
In this note we prove a well-posedness result, without loss of derivatives, for strictly hyperbolic wave operators having coefficients which are Zygmund-continuous in the time vari…
On the fast rotation asymptotics of a non-homogeneous incompressible MHD system
Dimitri Cobb, Francesco Fanelli
This paper is devoted to the analysis of a singular perturbation problem for a -D incompressible MHD system with density variations and Coriolis force, in the limit of small Ros…
Incompressible and fast rotation limit for barotropic Navier-Stokes equations at large Mach numbers
Francesco Fanelli
In the present paper we study the incompressible and fast rotation limit for the barotropic Navier-Stokes equations with Coriolis force, in the case when the Mach number i…
A theoretical investigation of Brockett's ensemble optimal control problems
Jan Bartsch, Alfio Borzì, Francesco Fanelli +1
This paper is devoted to the analysis of problems of optimal control of ensembles governed by the Liouville (or continuity) equation. The formulation and study of these problems ha…
A well-posedness result for viscous compressible fluids with only bounded density
Raphaël Danchin, Francesco Fanelli, Marius Paicu
We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible Navier-Stokes equations. Assuming that the initial velocit…