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SUMMARY:Flexible tubes conveying fluid: geometric modeling\, stability\, a
 nd variational integrators - François Gay-Balmaz (CNRS - Ecole Normale Su
 perieure Paris)
DTSTART:20170920T080000Z
DTEND:20170920T084000Z
UID:TALK80261@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-author: Vakhtang PUTKARADZE		(University of Alberta) 
        <br></span><span><br>We derive a geometrically exact theory for fle
 xible tubes conveying fluid. The theory also incorporates the change of th
 e cross section available to the fluid motion during the dynamics. We cons
 ider both compressible and incompressible fluids. We proceed to the linear
  stability analysis and show that our theory introduces important correcti
 ons to previously derived results. Based on this theory\, we derive a vari
 ational discretization of the dynamics based on the appropriate discretiza
 tion of the fluid&rsquo\;s back-to-labels map\, coupled with a variational
  discretization of the elastic part of the Lagrangian.</span>
LOCATION:Seminar Room 1\, Newton Institute
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