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DTSTART:20190331T030000
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DTSTART:20191027T020000
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BEGIN:VEVENT
DTSTAMP:20260405T192550Z
UID:5cb0572405ebd492666962@ist.ac.at
DTSTART:20190516T170000
DTEND:20190516T180000
DESCRIPTION:Speaker: Oleg Butkovsky\nhosted by Jan Maas\nAbstract: We will 
 present new coupling techniques for analyzing ergodicity of nonlinear stoc
 hastic PDEs with additive forcing. These methods complement the Hairer-Mat
 tingly approach (2006\, 2011). In the first part of the talk\, we demonstr
 ate how a generalized coupling approach can be used to study ergodicity fo
 r a broad class of nonlinear SPDEs\, including 2D stochastic Navier-Stokes
  equations. This extends the results of [N. Glatt-Holtz\, J. Mattingly\, G
 . Richards\, 2017]. The second part of the talk is devoted to SPDEs that s
 atisfy comparison principle (e.g.\, stochastic reaction-diffusion equation
 s). Using a new version of the coupling method\, we establish exponential 
 ergodicity of such SPDEs in the hypoelliptic setting and show how the corr
 esponding Hairer-Mattingly results can be refined.(Joint work with Alexey 
 Kulik and Michael Scheutzow) [1] O. Butkovsky\, A. Kulik\, M. Scheutzow (2
 018). Generalized couplings and ergodic rates for SPDEs and other Markov m
 odels. arXiv:1806.00395\; to appear in "The Annals of Applied Probability"
 .
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:swiddman@ist.ac.at
SUMMARY:Oleg Butkovsky: New coupling techniques for exponential ergodicity 
 of SPDEs in the hypoelliptic and effectively elliptic settings
URL:https://talks-calendar.ista.ac.at/events/1920
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