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BEGIN:VEVENT
SUMMARY:Amplitude equations: Natural slow-fast systems for SPDEs 
DTSTART:20120319T101500
DTEND:20120319T111500
DTSTAMP:20260609T230125Z
UID:f94206398de5cf88886c0cc6fd3f5e755373e5d70c1e5288074d2bca
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dirk Blömker\nWe consider systems near a change of stability 
 (bifurcation). Due to the natural separation of time-scales into the slow 
 dominant pattern and the remaining fast moving modes\,  the essential dyn
 amics can be reduced to simpler equations\, the so called amplitude equati
 ons. \n\nIn the talk we give an introduction to the topic and comment on 
 the connection to  random invariant manifolds. For simplicity of presenta
 tion\, we focus only on the stochastic Swift-Hohenberg equation\, which is
  a toy model for the convective instability in the  model of Rayleigh and
  Benard.\n\nAs an application of the theory we present results on the stab
 ilization of the dominant behaviour due to highly degenerate noise\, that 
 maps back onto the dominant pattern due to non-linear interaction.
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STATUS:CONFIRMED
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