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DTSTAMP:20260424T113914Z
UID:63d2397f9fe93921097075@ist.ac.at
DTSTART:20230324T140000
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DESCRIPTION:Speaker: Eva Miranda\nhosted by Kaloshin Group\nAbstract: Is hy
 drodynamics capable of performing computations? (Moore 1991). Can a mechan
 ical system (including a fluid flow) simulate a universal Turing machine? 
 (Tao\, 2016).Etnyre and Ghrist unveiled a mirror between contact geometry 
 and fluid dynamics reflecting Reeb vector fields as Beltrami vector fields
 . With the aid of this mirror\, we can answer the questions raised by Moor
 e and Tao by combining techniques developed by Alan Turing with modern Geo
 metry (contact geometry) to construct a "Fluid computer" in dimension 3. T
 his construction shows\, in particular\, the existence of undecidable flui
 d paths.The contact mirror has enabled the use of advanced geometric techn
 iques\, such as the h-principle\, in fluid dynamics\, opening up new avenu
 es for exploring the behavior of complex fluid systems.I will also explain
  an application of this mirror and the h-principle to prove that Euler flo
 ws can be seen as universal models for dynamical systems. The study of the
 seuniversality features was suggested by Tao as a novel way to address the
  problem of global existence for Euler and Navier-Stokes equations.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:cfrancois@ist.ac.at
SUMMARY:Eva Miranda: From Reeb dynamics to fluid computers: two faces of a 
 mirror
URL:https://talks-calendar.ista.ac.at/events/4064
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