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SUMMARY:Hannes Matt (RWTH Aachen University)
DTSTART:20220531T160000Z
DTEND:20220531T170000Z
DTSTAMP:20260423T035025Z
UID:OSGA/113
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/113/">B
 anach gradient flows for various families of knot energies</a>\nby Hannes 
 Matt (RWTH Aachen University) as part of Online Seminar "Geometric Analysi
 s"\n\n\nAbstract\nThis is joint work with Daniel Steenebrügge and Heiko v
 on der Mosel. We establish long-time existence of Banach gradient flows fo
 r generalised integral Menger curvatures and tangent-point energies\, and 
 for O'Hara's self-repulsive potentials $E^{\\alpha\,p}$. In order to do so
 \, we employ the theory of curves of maximal slope in slightly smaller spa
 ces compactly embedding into the respective energy spaces associated to th
 ese functionals\, and add a term involving the logarithmic strain\, which 
 controls the parametrisations of the flowing (knotted) loops. As a prerequ
 isite\, we prove in addition that O'Hara's knot energies $E^{\\alpha\,p}$ 
 are continuously differentiable.\n
LOCATION:https://researchseminars.org/talk/OSGA/113/
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