On self-contact of tubular thin solids

Prof Alfredo Marzocchi (Universita' Cattolica del Sacro Cuore)

Thursday 22nd February 14:00-15:00 Maths 311B/ Zoom (ID: 894 0173 1730)

Abstract

Inspired by the theory of knots, we propose a generalization of O'Hara's Möbius energy (a functional which prevents self-contact of knots) which shares some of its properties but is applicable to the more complicated case of a tubular neighbourhood of a regular curve in space. We also recover O'Hara's energy in the limiting case and show some continuity properties with respect to the curve.

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