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SUMMARY:Ergodicity and mixing for locally monotone stochastic evolution eq
 uations
DTSTART:20251015T150000
DTEND:20251015T160000
DTSTAMP:20260916T082321Z
UID:5fea3a79ef40141ccdaca967e3a368b177b2a92d8beac4b75fcf7f01
CATEGORIES:Conferences - Seminars
DESCRIPTION:Professor Jonas Toelle (Aalto University)\nWe establish gener
 al quantitative conditions for stochastic evolution equations with locally
  monotone drift and degenerate additive Wiener noise in variational formul
 ation resulting in the existence of a unique invariant probability measure
  for the associated ergodic Markovian Feller semigroup. We prove improved 
 moment estimates for the solutions and the $e$-property of the semigroup.\
 nFurthermore\, we provide quantitative upper bounds for the Markovian $\\v
 arepsilon$-mixing times.\nExamples include the stochastic incompressible 2
 D Navier-Stokes equations\, shear thickening stochastic power-law fluid eq
 uations\, the stochastic heat equation\, as well as\, stochastic semilinea
 r equations such as the 1D stochastic Burgers equation. Joint work with Ge
 rardo Barrera (IST Lisbon).
LOCATION:Bernoulli center
STATUS:CONFIRMED
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