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SUMMARY:Malte Kampschulte (Charles University)
DTSTART:20210322T144000Z
DTEND:20210322T161000Z
DTSTAMP:20260405T174547Z
UID:NSCM/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/22/">Mi
 nimizing movements and a two-scale method for nonconvex problems involving
  inertia</a>\nby Malte Kampschulte (Charles University) as part of Nečas 
 Seminar on Continuum Mechanics\n\n\nAbstract\nWhen dealing with fully nonl
 inear\, nonconvex\, quasistatic (i.e. inertialess) problems in continuum m
 echanics\, de Giorgi's method of minimizing movements has long been a stap
 le for existence proofs. However by its very nature\, it has always been r
 estricted to purely dissipative\, gradient flow-type systems. The aim of t
 his talk is to present a new two-scale method\, developed jointly with B. 
 Benešová and S. Schwarzacher\, which allows to add inertial\, conservati
 ve effects by using the minimizing movements method as a stepping stone to
  solve an approximative time-delayed problem in the same nonlinear\, nonco
 nvex state space. Using a flow-map approach\, this method is not only able
  to cope with problems in Lagrangian\, but also with those in Eulerian and
  even mixed formulations. While the method itself is quite general\, we wi
 ll illustrate its application at several examples involving solids\, fluid
 s and their interaction.\n
LOCATION:https://researchseminars.org/talk/NSCM/22/
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