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SUMMARY:Jonathan Bevan (University of Surrey\, GB)
DTSTART:20211108T144000Z
DTEND:20211108T161000Z
DTSTAMP:20260405T174324Z
UID:NSCM/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/39/">In
 terior 'buckling' and non-uniqueness in a class of incompressible variatio
 nal problems</a>\nby Jonathan Bevan (University of Surrey\, GB) as part of
  Nečas Seminar on Continuum Mechanics\n\n\nAbstract\nThe talk is about a 
 class variational problems whose associated energies $E_{\\eps}$ can be th
 ought of as perturbations of the Dirichlet energy.  These energies have co
 untably many pairs of planar\, measure-preserving stationary points $u^n_{
 \\pm}$ with the properties that (a) $E_{\\eps}(u^n_+)=E_{\\eps}(u^n_-)$ an
 d (b) the maps $u^n_{\\pm}$ cause `buckling' at the centre $0$ of the unit
  ball $B$ in $\\mathbb{R}^2$ while acting as the identity on $\\partial B$
 .   Numerical calculations show that $n$ can be treated as a proxy for the
  `number of buckles' that occur at $0$\, and that\, as one might expect\, 
 $E_{\\eps}(u^n_{\\pm})$ increases as $n$ does.  This is joint work with J.
  Deane.\n
LOCATION:https://researchseminars.org/talk/NSCM/39/
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