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SUMMARY:Julia Menzel (Universität Regensburg)
DTSTART:20201110T180000Z
DTEND:20201110T190000Z
DTSTAMP:20260423T035056Z
UID:OSGA/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/35/">Bo
 undary Value Problems for Evolutions of Willmore Type</a>\nby Julia Menzel
  (Universität Regensburg) as part of Online Seminar "Geometric Analysis"\
 n\n\nAbstract\nThe Willmore flow arises as the $L^2$-gradient flow of the 
 Willmore energy which is itself given by the integrated squared mean curva
 ture of the considered surface. \n\n\n\nAfter a short introduction and rev
 iew of known results on the Willmore flow of curves and closed surfaces\, 
 we discuss the existence of solutions to the Willmore flow of compact open
  surfaces immersed in Euclidean space subject to Navier boundary condition
 s.\n\n\n\nWe further study the elastic flow of planar networks composed of
  curves meeting in triple junctions. As a main result we obtain that start
 ing from a suitable initial network the flow exists globally in time if th
 e length of each curve remains uniformly bounded away from zero and if at 
 least one angle at each triple junction stays uniformly bounded away from 
 zero\, $\\pi$ and $2\\pi$.\n\n\n\nThis talk is based on my recently submit
 ted PhD thesis and includes joint work with H. Abels\, H. Garcke and A. Pl
 uda.\n
LOCATION:https://researchseminars.org/talk/OSGA/35/
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