17 citations · 132 across the 34 of their papers we have counts for
8 papers · 1 filter
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…