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math.PR2026
Well-posedness and Hurst parameter estimation for fluid equations driven by fractional transport noise
Alexandra Blessing Neamtu, Dan Crisan, Oana Lang
We study a two-dimensional incompressible vorticity equation on the torus driven by transport-type fractional Brownian noise with Hurst parameter . The model capture…
math.PR2025
A uniform point vortex approximation for the solution of the two-dimensional Navier Stokes equation with transport noise
Filippo Giovagnini, Dan Crisan
We study a model of interacting particles represented by a system of N stochastic differential equations. We establish that the mollified empirical distribution of the system conve…
math.PR2025
A uniform particle approximation to the Navier-Stokes-alpha models in three dimensions with advection noise
Filippo Giovagnini, Dan Crisan
In this work, we investigate a system of interacting particles governed by a set of stochastic differential equations. Our main goal is to rigorously demonstrate that the empirical…