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SUMMARY:Kerrek Stinson (University of Bonn)
DTSTART:20240108T144000Z
DTEND:20240108T161000Z
DTSTAMP:20260405T175148Z
UID:NSCM/115
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/115/">R
 egularity for minimizers of the Griffith fracture energy</a>\nby Kerrek St
 inson (University of Bonn) as part of Nečas Seminar on Continuum Mechanic
 s\n\nLecture held in Room K3\,  Faculty of Mathematics and Physics\, Charl
 es University\, Sokolovská 83  Prague 8..\n\nAbstract\nThe Griffith crite
 rion says that the energy to crack a brittle\nelastic material is proporti
 onal to the length of the crack. Understanding\nthe regularity of minimize
 rs requires unraveling the complex interplay of\nbulk (elastic) and surfac
 e (crack) energies in the vectorial setting of\nlinearized frame indiffere
 nce. In dimension 2\, we prove that the crack of a\nminimizer is given by 
 a $C^{1\,\\alpha}$ surface outside of a singular set of\npoints that has d
 imension strictly less than 1\, analogous to results for the\nscalar Mumfo
 rd-Shah functional. Joint work with Manuel Friedrich (FAU) and\nCamille La
 bourie (UPS).\n
LOCATION:https://researchseminars.org/talk/NSCM/115/
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