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UID:20260602T174647EDT-2119N6WZw4@132.216.98.100
DTSTAMP:20260602T214647Z
DESCRIPTION:Title: Deep Connections Between Data-Driven Methods and the Beh
 avior & Stability of Turbulent Flows\n\nAbstract: One of the challenges of
  the accurate simulation of turbulent flows is that initial data is often 
 incomplete\, which is a significant difficulty when modeling chaotic syste
 ms whose solutions are very sensitive to the choice of initial conditions.
  If one instead has snapshots of a system\, i.e. data\, one can make a mor
 e educated guess at the true state by incorporating the data via data assi
 milation. Many of the most popular data assimilation methods were develope
 d for general physical systems\, not just turbulent flows or chaotic syste
 ms. However\, in the context of fluids\, data assimilation works better th
 an would be anticipated for a general physical system. In particular\, tur
 bulent fluid flows have been proven to have the property that\, given enou
 gh perfect observations\, one can recover the full state irrespective of t
 he choice of initial condition. This property is surprisingly unique to tu
 rbulent fluid flows\, a consequence of their finite dimensionality. In thi
 s presentation\, we will discuss the continuous data assimilation algorith
 m that was used to prove the convergence in the original\, perfect data se
 tting\, present various robustness results of the continuous data assimila
 tion algorithm\, and discuss how continuous data assimilation can be used 
 to identify and correct model error. Moreover\, we will highlight the effo
 rts of our other current research into long-standing problems in the stabi
 lity of fluid flows (a very interesting problem that has proven\, as expec
 ted\, very challenging)\, and how we have discovered some very interesting
  connections to our data assimilation research.\n
DTSTART:20230206T213000Z
DTEND:20230206T223000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Elizabeth Carlson (University of Victoria)
URL:/mathstat/channels/event/elizabeth-carlson-univers
 ity-victoria-345162
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