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UID:20260602T200423EDT-6486nt2JGu@132.216.98.100
DTSTAMP:20260603T000423Z
DESCRIPTION:Title: Deep Connections Between Data-Driven Methods and the Beh
 avior & Stability of Turbulent Flows.\n\nAbstract: One of the challenges o
 f the accurate simulation of turbulent flows is that initial data is often
  incomplete\, which is a significant difficulty when modeling chaotic syst
 ems 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 mo
 re educated guess at the true state by incorporating the data via data ass
 imilation. Many of the most popular data assimilation methods were develop
 ed for general physical systems\, not just turbulent flows or chaotic syst
 ems. However\, in the context of fluids\, data assimilation works better t
 han would be anticipated for a general physical system. In particular\, tu
 rbulent fluid flows have been proven to have the property that\, given eno
 ugh perfect observations\, one can recover the full state irrespective of 
 the choice of initial condition. This property is surprisingly unique to t
 urbulent fluid flows\, a consequence of their finite dimensionality. In th
 is presentation\, we will discuss the continuous data assimilation algorit
 hm that was used to prove the convergence in the original\, perfect data s
 etting\, present various robustness results of the continuous data assimil
 ation algorithm\, and discuss how continuous data assimilation can be used
  to identify and correct model error. Moreover\, we will highlight the eff
 orts of our other current research into long-standing problems in the stab
 ility of fluid flows (a very interesting problem that has proven\, as expe
 cted\, very challenging)\, and how we have discovered some very interestin
 g connections to our data assimilation research.\n\nWeb site : https://dms
 .umontreal.ca/~mathapp/index_fr.html\n
DTSTART:20230206T213000Z
DTEND:20230206T223000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Elizabeth Carlson (PIMS)
URL:/mathstat/channels/event/elizabeth-carlson-pims-34
 5746
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