SMS scnews item created by Ben Goldys at Mon 3 Aug 2026 2049
Type: Seminar
Distribution: World
Expiry: 8 Aug 2026
Calendar1: 7 Aug 2026 1100-1200
CalLoc1: Room 4082, Red Centre, UNSW, (see the abstract for the zoom link)
CalTitle1: Exponential mixing for randomly forced wave and dispersive equations
Auth: beng@n49-176-102-73.mas22.nsw.optusnet.com.au (bgoldys) in SMS-SAML
Joint USYD-UNSW Seminar on Stochastic PDEs: Shengquan Xiang (Peking University) -- Exponential mixing for randomly forced wave and dispersive equations
https://unsw.zoom.us/j/87938114945?from=addon
Meeting ID: 87938114945
Password (if required): 859718
In a series of recent works, we have explored the statistical properties of dispersive
equations. This project highlights and emphasizes the crucial role of dispersive
nonlinear smoothing and control properties. We begin by establishing a general
criterion for exponential mixing of random dynamical systems. This criterion is then
applied to NLW, NLS, KdV, with damping and random noise localized in space. The
verification of this criterion is naturally linked to topics in deterministic PDEs, such
as exponential asymptotic compactness in dynamical systems, global stability of the
locally damped equations, and the control properties. 
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