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SUMMARY:Multiscale methods and microswimmer models - Ben Walker\, Universi
 ty of Bath
DTSTART:20231102T130000Z
DTEND:20231102T140000Z
UID:TALK205804@talks.cam.ac.uk
CONTACT:Lloyd Fung
DESCRIPTION:Swimming on the microscale has long been the subject of intens
 e research efforts\, from experimental studies of bacteria\, sperm\, and a
 lgae through to varied theoretical questions of low-Reynolds-number fluid 
 mechanics. The biological and biophysical settings that drive this ongoing
  research are often confoundingly complex\, a fact that has driven the dev
 elopment and use of simple models of microswimmers. In this talk\, we will
  showcase how we can often exploit separated scales present in these probl
 ems and models to reveal surprisingly simple emergent dynamics\, including
  predictions of globally attracting\, long-term behaviours. In doing so\, 
 we'll also uncover a surprising cautionary tale that calls into question m
 uch of the intuition gained from commonplace models of microswimming. In p
 articular\, we'll see that a wave-of-the-hands\, which I have been guilty 
 of before\, can drastically and qualitatively change the dynamics that sim
 ple models predict\, and we'll see how such missteps can be addressed thro
 ugh systematic multiscale methods.
LOCATION:MR15\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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