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CATEGORIES:Applied and Computational Analysis
SUMMARY:Stabilizing unstable flows by coarse mesh observab
les and actuators - a pavement to data assimilati
on - Edriss Titi (Weizmann Institite &\; Texas
A&\;M University)
DTSTART;TZID=Europe/London:20170601T150000
DTEND;TZID=Europe/London:20170601T160000
UID:TALK71550AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71550
DESCRIPTION:One of the main characteristics of infinite-dimens
ional dissipative evolution equations\, such as th
e Navier-Stokes equations and reaction-diffusion s
ystems\, is that their long-time dynamics are dete
rmined by finitely many parameters -- finite numbe
r of determining modes\, nodes\, volume elements a
nd other determining interpolants. In this talk I
will show how to explore this finite-dimensional
feature\, of the long-time behavior of infinite-di
mensional dissipative systems\, to design finite-
dimensional feedback control for stabilizing their
solutions. Moreover\, based on this approach I
will also present a data assimilation (downscaling
) algorithm for weather and climate predictions em
ploying discrete coarse mesh measurements. Notably
\, numerical implementation of this algorithm yie
lds errors that are bounded uniformly in time\; co
nsequently it can be reliably used for long-time
integration and statistics. Finally\, computationa
l demonstrations implementing this algorithm wil
l exhibit that its performance remarkably exceeds
what is suggested by the theory.
LOCATION:MR 14\, CMS
CONTACT:
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