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SUMMARY:On a Model for the Growth of Tree Stems and Vines - Michele Pallad
 ino\, Penn State University
DTSTART:20180426T130000Z
DTEND:20180426T140000Z
UID:TALK103268@talks.cam.ac.uk
CONTACT:Alberto Padoan
DESCRIPTION:In this talk\, we propose a model describing the growth of tre
 e stems and vine\, taking into account also the presence of external obsta
 cles. The system evolution is described by an integral differential equati
 on which becomes discontinuous when the stem hits the obstacle. The stem f
 eels the obstacle reaction not just at the tip\, but along the whole stem.
  This fact represents one of the main challenges to overcome\, since it pr
 oduces a cone of possible reactions which is not normal with respect to th
 e obstacle. However\, using the geometric structure of the problem and opt
 imal control tools\, we are able to prove the well-posedness of the model 
 under natural assumptions on the initial data. Further research directions
  to model different natural shapes will be also presented.
LOCATION:Cambridge University Engineering Department\, LR10
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