78 citations · 372 across the 53 of their papers we have counts for
54 papers
A scaling limit for Vlasov equations with electrostatic fluctuations
Franco Flandoli, Dejun Luo
We consider a Vlasov equation for a plasma with a given constant magnetic field, and introduce a white noise perturbation of the electric field in the electrostatic approximation,…
Finite time mixing and enhanced dissipation for 2D Navier--Stokes equations by Ornstein--Uhlenbeck flow
Chang Liu, Dejun Luo
We consider the vorticity form of 2D Navier--Stokes equations perturbed by an Ornstein--Uhlenbeck flow of transport type. Contrary to previous works where the random perturbation w…
Weak well-posedness by transport noise for a class of 2D fluid dynamics equations
Lucio Galeati, Dejun Luo
A fundamental open problem in fluid dynamics is whether solutions to D Euler equations with -valued vorticity are unique, for some . A relate…
On the Boussinesq hypothesis for a stochastic Proudman-Taylor model
Franco Flandoli, Dejun Luo
We introduce a stochastic version of Proudman-Taylor model, a 2D-3C fluid approximation of the 3D Navier-Stokes equations, with the small-scale turbulence modeled by a transport-st…
Uniqueness of weak solutions to the limit resonant equation of 3D rotating Navier-Stokes equations
Dejun Luo
The limit resonant equation of the 3D rotating Navier-Stokes equations is obtained by taking large rotation limit. This equation has a nonlinear term with restricted interactions b…
2D Smagorinsky type large eddy models as limits of stochastic PDEs
Franco Flandoli, Dejun Luo, Eliseo Luongo
We prove that a version of Smagorinsky Large Eddy model for a 2D fluid in vorticity form is the scaling limit of suitable stochastic models for large scales, where the influence of…