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SUMMARY:Navier-Stokes with a fractional transport noise as a limit of mult
 i-scale dynamics
DTSTART:20260429T150000
DTEND:20260429T160000
DTSTAMP:20260916T094308Z
UID:264dd3eb3cc1190e170d0ad3b3a9099155795a1fdd83efa62e7e9085
CATEGORIES:Conferences - Seminars
DESCRIPTION:Szymon Sobczak\nWe analyze a slow/fast system describing a vel
 ocity field of a fluid evolving on a three-dimensional torus. The fast equ
 ation is a fractional Ornstein-Uhlenbeck process\, driven by a fractional 
 Brownian motion with $H<\\frac{1}{2}$. We show that the limit points of th
 e slow process are solutions to a Navier-Stokes equation driven by a trans
 port fractional noise. The main challenges arise from the need to use roug
 h path techniques in PDE problems to establish a suitable notion of soluti
 on\, as well as showing suitable convergence of an additive functional of 
 the fast process in the absence of the usual ergodic properties.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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