413 citations · 1.5k across the 79 of their papers we have counts for
8 papers · 1 filter
Eddy heat exchange at the boundary under white noise turbulence
Franco Flandoli, Lucio Galeati, Dejun Luo
We prove the existence of an eddy heat diffusion coefficient coming from an idealized model of turbulent fluid. A difficulty lies in the presence of a boundary, with also turbulent…
Energy conditional measures and 2D turbulence
Franco Flandoli, Dejun Luo
We show that the invariant measure of point vortices, when conditioning the Hamiltonian to a finite interval, converges weakly to the enstrophy measure by conditioning the renormal…
A non-linear kinetic model of self-propelled particles with multiple equilibria
Paolo Buttà, Franco Flandoli, Michela Ottobre +1
We introduce and analyse a continuum model for an interacting particle system of Vicsek type. The model is given by a non-linear kinetic partial differential equation (PDE) describ…
Boundedness vs Unboundedness of A Noise Linked to Tsallis q-Statistics: The Role of The Overdamped Approximation
Dario Domingo, Alberto d Onofrio, Franco Flandoli
An apparently ideal way to generate continuous bounded stochastic processes is to consider the stochastically perturbed motion of a point of small mass in an infinite potential wel…
Solution properties of a 3D stochastic Euler fluid equation
Dan Crisan, Franco Flandoli, Darryl D. Holm
We prove local well-posedness in regular spaces and a Beale-Kato-Majda blow-up criterion for a recently derived stochastic model of the 3D Euler fluid equation for incompressible f…
Stochastic attractors for shell phenomenological models of turbulence
Hakima Bessaih, Franco Flandoli, Edriss S. Titi
Recently, it has been proposed that the Navier-Stokes equations and a relevant linear advection model have the same long-time statistical properties, in particular, they have the s…
Remarks on the K41 scaling law in turbulent fluids
F. Flandoli, M. Gubinelli, M. Hairer +1
A definition of K41 scaling law for suitable families of measures is given and investigated. First, a number of necessary conditions are proved. They imply the absence of scaling l…
The Gibbs ensemble of a vortex filament
F. Flandoli, M. Gubinelli
We introduce a statistical ensemble for a single vortex filament of a three dimensional incompressible fluid. The core of the vortex is modelled by a quite generic stochastic proce…