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SUMMARY:Davar Khoshnevisan (University of Utah)
DTSTART:20210531T140000Z
DTEND:20210531T150000Z
DTSTAMP:20260423T022743Z
UID:SPDEs/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SPDEs/9/">Ph
 ase Analysis of a Family of Stochastic Reaction-Diffusion Equations</a>\nb
 y Davar Khoshnevisan (University of Utah) as part of Stochastic PDEs and t
 heir friends\n\n\nAbstract\nWe consider a wide family of reaction-diffusio
 n equations that are forced with multiplicative space-time white noise\, a
 nd show that if the level of the noise is sufficiently high then the resul
 ting SPDE has a unique invariant measure. By contrast\, we prove also that
  when the level of the noise is sufficiently low\, then there are infinite
 ly many invariant measures. In that case\, we prove that the collection of
  all invariant measures is a line segment\; that is\, there are two extrem
 e points. Time permitting\, we will say a few thing about the two extremal
  invariant measures as well in the low-noise case. The phase picture that 
 is described here was predicted in an earlier work of Zimmerman et al (200
 0).\n\nThis is based on joint work with Carl Mueller (University of Roches
 ter\, USA)\, Kunwoo Kim (POSTECH\, S Korea)\, and Shang-Yuan Shiu (Nationa
 l Central University\, Taiwan).\n
LOCATION:https://researchseminars.org/talk/SPDEs/9/
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