Oana Lang: Euler Equations Driven by Fractional Transport Noise: Existence and Hurst Parameter Estimation

Speaker
Oana Lang, Babes-Bolyai University

Abstract
We extend previous work on Euler equations driven by transport noise, replacing the standard Brownian motion with fractional Brownian motion. This modification is motivated by real-world applications where fractional noise provides a more realistic model for turbulence and fluid dynamics. We establish the existence of solutions and provide a methodology for estimating the Hurst parameter, which characterizes the roughness of the noise. Our results offer new insights into the impact of fractional transport noise on fluid equations and open avenues for further applications in modelling complex systems. This is joint work with Dan Crisan (Imperial College London).