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SUMMARY:Yoichiro Mori (University of Pennsylvania)
DTSTART:20210624T130000Z
DTEND:20210624T140000Z
DTSTAMP:20260423T052708Z
UID:SNPDEA/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNPDEA/33/">
 Analysis of the Dynamics of Immersed Elastic Filaments in Stokes Flow</a>\
 nby Yoichiro Mori (University of Pennsylvania) as part of "Partial Differe
 ntial Equations and Applications" Webinar\n\n\nAbstract\nWe consider the p
 roblem of an elastic filament immersed in a 2D or 3D Stokes fluid. We firs
 t discuss the analysis of an immersed filament problem in a 2D Stokes flui
 d (the Peskin problem). We prove well-posedness and immediate regularizati
 on of the elastic filament configuration and discuss criteria for global e
 xistence. We will then discuss the immersed filament problem in a 3D Stoke
 s fluid (the Slender Body problem). Here\, it has not even been clear what
  the appropriate mathematical formulation of the problem should be. We pro
 pose a mathematical formulation for the Slender Body problem and discuss w
 ell-posedness for the stationary version of this problem. Furthermore\, we
  prove that the Slender Body approximation\, introduced by Keller and Rubi
 now in the 1980's and used widely in computation\, provides an approximati
 on to the Slender Body problem.\n
LOCATION:https://researchseminars.org/talk/SNPDEA/33/
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