BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20260215T221824EST-4802x5CpcL@132.216.98.100
DTSTAMP:20260216T031824Z
DESCRIPTION:Title: On the long-time statistical behavior of solutions to so
 me stochastic dispersive PDE\n\nAbstract: In the analysis of nonlinear sto
 chastic evolutionary partial differential equations (PDEs)\, the roughness
  of noise terms can make questions of well-posedness technically challengi
 ng. At the same time\, the presence of noise can simplify the long-time st
 atistical behavior of solutions by inducing a smoothing at the level of th
 e corresponding Markov semigroup. In particular\, such a smoothing can mak
 e it tractable to prove that the system possesses a unique ergodic invaria
 nt measure. While this picture is now fairly well understood for stochasti
 c parabolic PDEs\, much less is known in the dispersive setting. In this t
 alk we will review some recent progress and preliminary results on the erg
 odic theory of stochastic perturbations of the Korteweg-de Vries equation 
 (KdV)\, a widely studied canonical dispersive PDE. Roughly speaking\, the 
 subtlety of regularization inherent to nonlinear dispersive PDEs such as K
 dV motivates our generalization of the ergodic theory framework for stocha
 stic PDEs to e.g.\, rely on probabilistic (rather than pathwise) control a
 rguments\, and to incorporate nonlinear estimates in function spaces bette
 r suited to dispersive equations. This talk will discuss joint works with 
 Cameron Bechthold (Guelph)\, Nathan Glatt-Holtz (Indiana)\, and Vincent Ma
 rtinez (CUNY Hunter).\n\n \n
DTSTART:20260216T210000Z
DTEND:20260216T220000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Geordie Richards (University of Guelph)
URL:/smerg/channels/event/geordie-richards-university-
 guelph-371127
END:VEVENT
END:VCALENDAR